{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QBRAQSX4LSJ6R2AZZEKEJQUNTE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4ee73a1953c9098a32cfd19eb4e6b093e19b3c083c7bc88511894182a14796b9","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-09-05T14:58:49Z","title_canon_sha256":"4ad0aeba598543518531544f50211570f03197a4f939aa461c31ebc4695a5144"},"schema_version":"1.0","source":{"id":"1209.1002","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.1002","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1209.1002v3","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1002","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"QBRAQSX4LSJ6","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QBRAQSX4LSJ6R2AZ","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QBRAQSX4","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:eef9b776a9045af98bf7fe8e564d1fbeb2ecf96ab62302f03ff31c48ace5f4aa","target":"graph","created_at":"2026-05-18T01:26:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The Temperley-Lieb algebra is a fundamental component of SU(2) topological quantum field theories. We construct chain complexes corresponding to minimal idempotents in the Temperley-Lieb algebra. Our results apply to the framework which determines Khovanov homology. Consequences of our work include semi-orthogonal decompositions of categorifications of Temperley-Lieb algebras and Postnikov decompositions of all Khovanov tangle invariants.","authors_text":"Benjamin Cooper, Matt Hogancamp","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-09-05T14:58:49Z","title":"An Exceptional Collection For Khovanov Homology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1002","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:432dc79e5c7f9c108df121bd38ad1874a9233481f2e580e9388535e2bf8fae05","target":"record","created_at":"2026-05-18T01:26:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4ee73a1953c9098a32cfd19eb4e6b093e19b3c083c7bc88511894182a14796b9","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-09-05T14:58:49Z","title_canon_sha256":"4ad0aeba598543518531544f50211570f03197a4f939aa461c31ebc4695a5144"},"schema_version":"1.0","source":{"id":"1209.1002","kind":"arxiv","version":3}},"canonical_sha256":"8062084afc5c93e8e819c91444c28d99325c34909a87932e83794930e81dd991","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8062084afc5c93e8e819c91444c28d99325c34909a87932e83794930e81dd991","first_computed_at":"2026-05-18T01:26:11.251018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:11.251018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"++mh6m15T9NW2A8+L7OqAt1gv/Pn06IYH0w4Xgx5senC7TuJ5npy6vvfQo+MIu3x8of32w8xySJH3Cgz2lpAAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:11.251524Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.1002","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:432dc79e5c7f9c108df121bd38ad1874a9233481f2e580e9388535e2bf8fae05","sha256:eef9b776a9045af98bf7fe8e564d1fbeb2ecf96ab62302f03ff31c48ace5f4aa"],"state_sha256":"fedf80e3720059aa211612c4fb1d2626f0699fc58bf107319f0d2ac043f2b88c"}