{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HJBYSVDY7SRVGGP6ODDHOONJLQ","short_pith_number":"pith:HJBYSVDY","canonical_record":{"source":{"id":"1611.00620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2016-11-02T14:07:54Z","cross_cats_sorted":[],"title_canon_sha256":"350183c7e4b75b519dfe3cf6703b10b245538fb94b1ce9517d1fef2f0c73d4d1","abstract_canon_sha256":"b9e4327f8b35799e5e6ac670e8888fc3ea65600326fb1173f590d3c84e16b52e"},"schema_version":"1.0"},"canonical_sha256":"3a43895478fca35319fe70c67739a95c1ff4957f184751297870585f650903b4","source":{"kind":"arxiv","id":"1611.00620","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HJBYSVDY7SRVGGP6ODDHOONJLQ","target":"record","payload":{"canonical_record":{"source":{"id":"1611.00620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2016-11-02T14:07:54Z","cross_cats_sorted":[],"title_canon_sha256":"350183c7e4b75b519dfe3cf6703b10b245538fb94b1ce9517d1fef2f0c73d4d1","abstract_canon_sha256":"b9e4327f8b35799e5e6ac670e8888fc3ea65600326fb1173f590d3c84e16b52e"},"schema_version":"1.0"},"canonical_sha256":"3a43895478fca35319fe70c67739a95c1ff4957f184751297870585f650903b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:32.206820Z","signature_b64":"KW1SM6M9k7eKEw1Ga2Ng8PTLXUNEHAvR4vt9JtCu0m8HUldGDDfsO+ghT5GtM6abVRXlNVWnYlwDzveeCw8UCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a43895478fca35319fe70c67739a95c1ff4957f184751297870585f650903b4","last_reissued_at":"2026-05-18T01:00:32.206169Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:32.206169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.00620","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:00:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CRA46KNo+tdTx8ZpawrGxOEEBtyKewrLi1BKNF11BRFg19QY5BOpAL1wLCM+pz4IDSNN1t+pGPKvvIJ0lANrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:48:08.736294Z"},"content_sha256":"bacb107c84efcf7ee525f5246631d6d084c5fb0788df6e18fa8139ac85c6a342","schema_version":"1.0","event_id":"sha256:bacb107c84efcf7ee525f5246631d6d084c5fb0788df6e18fa8139ac85c6a342"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HJBYSVDY7SRVGGP6ODDHOONJLQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discussion of the loop formula for the fermionic determinant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Erhard Seiler, Ion-Olimpiu Stamatescu","submitted_at":"2016-11-02T14:07:54Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00620","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:00:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ppUneVizu/07ofAJJH0I0KFb7yFHO9+ccRIO9yzFzmLdW/0SzPTF/ZDkDrwFn55IfguEKIVbMsrxzzR+qWfNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:48:08.736814Z"},"content_sha256":"a519936ba13eed651743f4b6005096fa0af81f174257a3f64a763a7b502b371c","schema_version":"1.0","event_id":"sha256:a519936ba13eed651743f4b6005096fa0af81f174257a3f64a763a7b502b371c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJBYSVDY7SRVGGP6ODDHOONJLQ/bundle.json","state_url":"https://pith.science/pith/HJBYSVDY7SRVGGP6ODDHOONJLQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJBYSVDY7SRVGGP6ODDHOONJLQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T19:48:08Z","links":{"resolver":"https://pith.science/pith/HJBYSVDY7SRVGGP6ODDHOONJLQ","bundle":"https://pith.science/pith/HJBYSVDY7SRVGGP6ODDHOONJLQ/bundle.json","state":"https://pith.science/pith/HJBYSVDY7SRVGGP6ODDHOONJLQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJBYSVDY7SRVGGP6ODDHOONJLQ/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Wy5CsxjOEaCoxzHA2qm4j0d/ItxbKywfx9GYfHhmIoygP66XIWZgk70DkffsN1BJM6BVWG+9/uLtQ3syXN5Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:48:08.740862Z","bundle_sha256":"6d58fc22233f33c6fb534cb51a49fe18111f39fd75e57672d4a54e0e27209aab"}}