{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QKJVZ7DKR4WUHDFZUA73BZY5S7","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":"56c3f5e95bc92fb81120bf0dbe3f26fdad68d036d973f53da296b746f3b8873a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-05-03T13:05:00Z","title_canon_sha256":"b575dd24d839ce9543d5241e9a06adfc0f14e835978fd737e7f7bdeea3a91048"},"schema_version":"1.0","source":{"id":"1805.01274","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01274","created_at":"2026-05-18T00:16:51Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01274v1","created_at":"2026-05-18T00:16:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01274","created_at":"2026-05-18T00:16:51Z"},{"alias_kind":"pith_short_12","alias_value":"QKJVZ7DKR4WU","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QKJVZ7DKR4WUHDFZ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QKJVZ7DK","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:a5b4d51fca3f33c288d6c78d3fd547018de9deb331b43441d4b3a7fa30bfd003","target":"graph","created_at":"2026-05-18T00:16:51Z","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":"We investigate to what extent persistent homology benefits from the properties of the usual homology theory.","authors_text":"Hanife Varl{\\i}, Mehmetcik Pamuk, Ya\\u{g}mur Y{\\i}lmaz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-05-03T13:05:00Z","title":"Homological properties of persistent homology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01274","kind":"arxiv","version":1},"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":"sha256:9eeccfa876db26482293851faafb3576e947bc11ce69a1311f54e42b0df3aead","target":"record","created_at":"2026-05-18T00:16:51Z","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":"56c3f5e95bc92fb81120bf0dbe3f26fdad68d036d973f53da296b746f3b8873a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-05-03T13:05:00Z","title_canon_sha256":"b575dd24d839ce9543d5241e9a06adfc0f14e835978fd737e7f7bdeea3a91048"},"schema_version":"1.0","source":{"id":"1805.01274","kind":"arxiv","version":1}},"canonical_sha256":"82935cfc6a8f2d438cb9a03fb0e71d97c8704e1a34218d908042d41db738d745","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82935cfc6a8f2d438cb9a03fb0e71d97c8704e1a34218d908042d41db738d745","first_computed_at":"2026-05-18T00:16:51.970267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:51.970267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TIRNgW5Mb9oCSZfD5QkAXi+1Q9CxmhgcEnrSQ3QHdGmD4d2i319XTpL0oisqOkgxdScwAUtPTpx+0nxucf1lAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:51.971019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.01274","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9eeccfa876db26482293851faafb3576e947bc11ce69a1311f54e42b0df3aead","sha256:a5b4d51fca3f33c288d6c78d3fd547018de9deb331b43441d4b3a7fa30bfd003"],"state_sha256":"f5b6f57c1fdb32e12bd4707cae399b11c91b1728a680e66c8fd660d91f0e1c21"}