{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HJBYSVDY7SRVGGP6ODDHOONJLQ","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":"b9e4327f8b35799e5e6ac670e8888fc3ea65600326fb1173f590d3c84e16b52e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2016-11-02T14:07:54Z","title_canon_sha256":"350183c7e4b75b519dfe3cf6703b10b245538fb94b1ce9517d1fef2f0c73d4d1"},"schema_version":"1.0","source":{"id":"1611.00620","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00620","created_at":"2026-05-18T01:00:32Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00620v1","created_at":"2026-05-18T01:00:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00620","created_at":"2026-05-18T01:00:32Z"},{"alias_kind":"pith_short_12","alias_value":"HJBYSVDY7SRV","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HJBYSVDY7SRVGGP6","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HJBYSVDY","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:a519936ba13eed651743f4b6005096fa0af81f174257a3f64a763a7b502b371c","target":"graph","created_at":"2026-05-18T01:00:32Z","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":"A formula expressing the fermionic determinant (a large order polynomial) as an infinite product of smaller determinants is derived and discussed. These smaller determinants are of a fixed size, independent of the size of the lattice and are indexed by loops of increasing length.","authors_text":"Erhard Seiler, Ion-Olimpiu Stamatescu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2016-11-02T14:07:54Z","title":"Discussion of the loop formula for the fermionic determinant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00620","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:bacb107c84efcf7ee525f5246631d6d084c5fb0788df6e18fa8139ac85c6a342","target":"record","created_at":"2026-05-18T01:00:32Z","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":"b9e4327f8b35799e5e6ac670e8888fc3ea65600326fb1173f590d3c84e16b52e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2016-11-02T14:07:54Z","title_canon_sha256":"350183c7e4b75b519dfe3cf6703b10b245538fb94b1ce9517d1fef2f0c73d4d1"},"schema_version":"1.0","source":{"id":"1611.00620","kind":"arxiv","version":1}},"canonical_sha256":"3a43895478fca35319fe70c67739a95c1ff4957f184751297870585f650903b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a43895478fca35319fe70c67739a95c1ff4957f184751297870585f650903b4","first_computed_at":"2026-05-18T01:00:32.206169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:32.206169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KW1SM6M9k7eKEw1Ga2Ng8PTLXUNEHAvR4vt9JtCu0m8HUldGDDfsO+ghT5GtM6abVRXlNVWnYlwDzveeCw8UCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:32.206820Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00620","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bacb107c84efcf7ee525f5246631d6d084c5fb0788df6e18fa8139ac85c6a342","sha256:a519936ba13eed651743f4b6005096fa0af81f174257a3f64a763a7b502b371c"],"state_sha256":"c5c4f805190446f59d86e2fccb26af081c5518b5598e77d9332a1f5135701504"}