{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5HJKGFY5IFOFTSPA7ZKT2AE2EY","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":"179350aa960c5e55eee5e832bc9ca95fb8da7cb3f9ac926b195ec2fac48fb561","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2010-04-15T03:57:13Z","title_canon_sha256":"9abc3c1e310b7f795d42eb5de82dd687854328778b6524d356aa5612c43c31cf"},"schema_version":"1.0","source":{"id":"1004.2547","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.2547","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"1004.2547v1","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.2547","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"5HJKGFY5IFOF","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5HJKGFY5IFOFTSPA","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5HJKGFY5","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:bdf0acc15584505b9b0b07716eb97d2605763fa83199d349d4080470948c9716","target":"graph","created_at":"2026-05-18T04:24:06Z","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 aim of this paper is twofold. One is to give a definition of the Euler characteristic of infinite acyclic categories with filtrations and the other is to prove the invariance of the Euler characteristic under the subdivision of finite categories.","authors_text":"Kazunori Noguchi","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2010-04-15T03:57:13Z","title":"The Euler characteristic of infinite acyclic categories with filtrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.2547","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":"sha256:92da58eb98c4d26cd633ca9b2e5d7c738040af35a81dc5fa9b2679e3318b41bd","target":"record","created_at":"2026-05-18T04:24:06Z","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":"179350aa960c5e55eee5e832bc9ca95fb8da7cb3f9ac926b195ec2fac48fb561","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2010-04-15T03:57:13Z","title_canon_sha256":"9abc3c1e310b7f795d42eb5de82dd687854328778b6524d356aa5612c43c31cf"},"schema_version":"1.0","source":{"id":"1004.2547","kind":"arxiv","version":1}},"canonical_sha256":"e9d2a3171d415c59c9e0fe553d009a262774b1f4043564cfff091e0da9d07ba6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9d2a3171d415c59c9e0fe553d009a262774b1f4043564cfff091e0da9d07ba6","first_computed_at":"2026-05-18T04:24:06.312079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:06.312079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dsnqNpoLpDt5x5xJCeYACsIitM39Atp0jJjv2q5DsLiwgiWRlK1g9+zkQHg4wq40Q6wNal8IzBTLBmcGYWugDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:06.312576Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.2547","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92da58eb98c4d26cd633ca9b2e5d7c738040af35a81dc5fa9b2679e3318b41bd","sha256:bdf0acc15584505b9b0b07716eb97d2605763fa83199d349d4080470948c9716"],"state_sha256":"1e4b13878b9d4ee8e2894b379be52b2465683da2c8e5484ce0bc1de6848336fe"}