{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:U3O5QXECNAOZ7WGYI22BMWGPJM","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":"5f5e1489323d6ef04cf57447487a902bf8ad003fa79886a30e80eb2071a9a50d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-03T19:13:46Z","title_canon_sha256":"474c4fbc48ba777f8f193337a660a9d1728f8aa943e7e18afb4dce4ecb680c36"},"schema_version":"1.0","source":{"id":"1411.0613","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0613","created_at":"2026-05-18T02:25:40Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0613v2","created_at":"2026-05-18T02:25:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0613","created_at":"2026-05-18T02:25:40Z"},{"alias_kind":"pith_short_12","alias_value":"U3O5QXECNAOZ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"U3O5QXECNAOZ7WGY","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"U3O5QXEC","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:15b8d85a958fc0e437f5804634a40df91e7e7e40086ac82f96859fd4e1647e8e","target":"graph","created_at":"2026-05-18T02:25:40Z","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":"This paper contains an expository account of persistent homology and its usefulness for topological data analysis. An alternative foundation for level-set persistence is presented using sheaves and cosheaves.","authors_text":"Justin Curry","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-03T19:13:46Z","title":"Topological Data Analysis and Cosheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0613","kind":"arxiv","version":2},"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:de8eccba356961827ff60b85a6f38c57b1ae3c19c8563d0d1b6b151b14be2612","target":"record","created_at":"2026-05-18T02:25:40Z","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":"5f5e1489323d6ef04cf57447487a902bf8ad003fa79886a30e80eb2071a9a50d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-03T19:13:46Z","title_canon_sha256":"474c4fbc48ba777f8f193337a660a9d1728f8aa943e7e18afb4dce4ecb680c36"},"schema_version":"1.0","source":{"id":"1411.0613","kind":"arxiv","version":2}},"canonical_sha256":"a6ddd85c82681d9fd8d846b41658cf4b060a208f4579697a2acfe9ab4c54e5b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6ddd85c82681d9fd8d846b41658cf4b060a208f4579697a2acfe9ab4c54e5b5","first_computed_at":"2026-05-18T02:25:40.117773Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:40.117773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mlE0vivagfD75/eqwWBQPqgK38sBkpJcmVjIklON1ueispILm1yjjBP8tF/w2FxF+NnW6qNuIA65NJy2xbt3CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:40.118287Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0613","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de8eccba356961827ff60b85a6f38c57b1ae3c19c8563d0d1b6b151b14be2612","sha256:15b8d85a958fc0e437f5804634a40df91e7e7e40086ac82f96859fd4e1647e8e"],"state_sha256":"86c5b43da89abea54d53e33b4d11b2c856ff3a15ab75270429edbb41ebaddaa7"}