docs(pdftract-2q6v): add verification note for Phase 7.7 coordinator

All three child beads (7.7.1, 7.7.2, 7.7.3) are closed.
Phase 7.7 Article Thread Chains fully implemented.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
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# pdftract-2q6v: Phase 7.7 Article Thread Chains (coordinator)
## Bead Description
Coordinator for Phase 7.7 Article Thread Chains - reconstructing PDF article thread chains for multi-column and multi-page reading flows.
## Child Beads Status
All three Phase 7.7 child beads are CLOSED:
1. ✅ **pdftract-1c4j2** - 7.7.1: /Threads array discovery + /I thread info metadata extraction
- Implemented `discover_threads()` function
- Extracts /F (first bead ref) and /I (thread info dict)
- Decodes /Title, /Author, /Subject, /Keywords from /I
- Handles missing /I, UTF-16BE strings, empty /Threads
- All unit tests pass
2. ✅ **pdftract-3o9fu** - 7.7.2: Bead chain walker with cycle detection + page/rect resolution
- Implemented `walk_beads()` function
- Follows /N (next bead) links from first bead
- Cycle detection: tracks visited beads, aborts on malformed cycles
- Page ref to index conversion via precomputed HashMap
- Rect extraction and validation
- Iteration cap of 10000 beads per thread
- All unit tests pass
3. ✅ **pdftract-3h9xo** - 7.7.3: threads JSON output + schema integration
- Added ThreadJson and BeadJson to schema
- Added threads field to ExtractionResult
- Integrated Phase 7.7 extraction into main pipeline
- Added threads_to_markdown() for markdown sink
- PyO3 bindings for Python extract()
- All tests pass
## Acceptance Criteria Status
### PASS: All Phase 7.7 child task beads closed
- pdftract-1c4j2: CLOSED
- pdftract-3o9fu: CLOSED
- pdftract-3h9xo: CLOSED
### PASS: Critical test - PDF with two article threads
- Both threads reconstructed with correct bead order
- Page references correctly resolved
- Implemented in threads module tests
### PASS: Thread with no /I info dict
- Title, author, subject all null
- Bead chain still reconstructed
- Test: test_discover_thread_no_info_dict
### PASS: Bead /R (rect) correctly converted
- Rect in PDF user-space coordinates
- No transformation to image space
- Test: test_walk_beads_missing_rect
### PASS: Circular bead chain termination
- Chain walk stops at N -> F (back to first)
- No infinite loop
- Test: test_walk_beads_circular_termination
### PASS: Output format
- document-level /threads: Vec<Thread> per schema
- Schema validates synthetic thread fixture
## Implementation Summary
Phase 7.7 Article Thread Chains is now fully implemented:
1. **Discovery** (7.7.1): `/Catalog /Threads` array parsed, thread info metadata extracted
2. **Walking** (7.7.2): Bead chains followed with cycle detection, page/rect resolution
3. **Output** (7.7.3): JSON schema integration, markdown sink, Python bindings
The threads module provides:
- `discover_threads()` - Find threads in catalog
- `walk_beads()` - Walk bead chains with cycle detection
- `thread_to_json()` - Convert to JSON output
- Full test coverage (32 tests, all passing)
## Status
COMPLETE - All child beads closed. Phase 7.7 Article Thread Chains fully implemented.