{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UY7F3YNMCXCBUELTJVSLXZN527","short_pith_number":"pith:UY7F3YNM","canonical_record":{"source":{"id":"1901.01352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-05T01:59:41Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9c272b4dba0b7b6e300dd6d2bf066e758dd9788f8c3c1f34cf4e8ca0c94e194d","abstract_canon_sha256":"85432f4d1f03b25a99f64135894fb015728cdc36be3c3f7cac729cda876167dc"},"schema_version":"1.0"},"canonical_sha256":"a63e5de1ac15c41a11734d64bbe5bdd7df548c2362dacc6b86609c05525ffe2f","source":{"kind":"arxiv","id":"1901.01352","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.01352","created_at":"2026-05-17T23:56:52Z"},{"alias_kind":"arxiv_version","alias_value":"1901.01352v1","created_at":"2026-05-17T23:56:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.01352","created_at":"2026-05-17T23:56:52Z"},{"alias_kind":"pith_short_12","alias_value":"UY7F3YNMCXCB","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UY7F3YNMCXCBUELT","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UY7F3YNM","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UY7F3YNMCXCBUELTJVSLXZN527","target":"record","payload":{"canonical_record":{"source":{"id":"1901.01352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-05T01:59:41Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9c272b4dba0b7b6e300dd6d2bf066e758dd9788f8c3c1f34cf4e8ca0c94e194d","abstract_canon_sha256":"85432f4d1f03b25a99f64135894fb015728cdc36be3c3f7cac729cda876167dc"},"schema_version":"1.0"},"canonical_sha256":"a63e5de1ac15c41a11734d64bbe5bdd7df548c2362dacc6b86609c05525ffe2f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:52.148579Z","signature_b64":"xnmT7aQGSDb6g/S5AB3GgUF48r6oD7zOFtsDDH6iXROU8HMzCYGvBtSxOEP7jt4Z1j1agitXQDWB1YHeaCsQAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a63e5de1ac15c41a11734d64bbe5bdd7df548c2362dacc6b86609c05525ffe2f","last_reissued_at":"2026-05-17T23:56:52.148153Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:52.148153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.01352","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":"2026-05-17T23:56:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p0EwP+RM8o2aZD6rNNdruUWPZzrGu+XRybIUuN7+qFKQ8DocX77tgnJzDpqj6L+iKkTUfZcTfOSIsRMTqWugBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:34:08.262753Z"},"content_sha256":"01de7d5d241d47f6052f40647630cefe2189bb5193bac244e3ffca17b19106b2","schema_version":"1.0","event_id":"sha256:01de7d5d241d47f6052f40647630cefe2189bb5193bac244e3ffca17b19106b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UY7F3YNMCXCBUELTJVSLXZN527","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A duality formula between elliptic determinants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.CA","authors_text":"Kohei Motegi","submitted_at":"2019-01-05T01:59:41Z","abstract_excerpt":"We prove a duality formula between two elliptic determinants. We present a proof which is a variant of the Izergin-Korepin method which is a method originally introduced to analyze and compute partition functions of integrable lattice models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.01352","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":"2026-05-17T23:56:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PSg8LsBD0+SljdHHgleWbjbNJNahqSu9rSZlM9ZCP9bVg6X0wF+u+OgDi9/yxJ2jbrbEtpGwyvI2GedZMxxjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:34:08.263572Z"},"content_sha256":"9c9e8c44e30751c7ed7f5e185fc205ded0466f35456e82b2714172c0f6016527","schema_version":"1.0","event_id":"sha256:9c9e8c44e30751c7ed7f5e185fc205ded0466f35456e82b2714172c0f6016527"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UY7F3YNMCXCBUELTJVSLXZN527/bundle.json","state_url":"https://pith.science/pith/UY7F3YNMCXCBUELTJVSLXZN527/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UY7F3YNMCXCBUELTJVSLXZN527/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":"2026-05-31T07:34:08Z","links":{"resolver":"https://pith.science/pith/UY7F3YNMCXCBUELTJVSLXZN527","bundle":"https://pith.science/pith/UY7F3YNMCXCBUELTJVSLXZN527/bundle.json","state":"https://pith.science/pith/UY7F3YNMCXCBUELTJVSLXZN527/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UY7F3YNMCXCBUELTJVSLXZN527/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UY7F3YNMCXCBUELTJVSLXZN527","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":"85432f4d1f03b25a99f64135894fb015728cdc36be3c3f7cac729cda876167dc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-05T01:59:41Z","title_canon_sha256":"9c272b4dba0b7b6e300dd6d2bf066e758dd9788f8c3c1f34cf4e8ca0c94e194d"},"schema_version":"1.0","source":{"id":"1901.01352","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.01352","created_at":"2026-05-17T23:56:52Z"},{"alias_kind":"arxiv_version","alias_value":"1901.01352v1","created_at":"2026-05-17T23:56:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.01352","created_at":"2026-05-17T23:56:52Z"},{"alias_kind":"pith_short_12","alias_value":"UY7F3YNMCXCB","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UY7F3YNMCXCBUELT","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UY7F3YNM","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:9c9e8c44e30751c7ed7f5e185fc205ded0466f35456e82b2714172c0f6016527","target":"graph","created_at":"2026-05-17T23:56:52Z","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 prove a duality formula between two elliptic determinants. We present a proof which is a variant of the Izergin-Korepin method which is a method originally introduced to analyze and compute partition functions of integrable lattice models.","authors_text":"Kohei Motegi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-05T01:59:41Z","title":"A duality formula between elliptic determinants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.01352","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":"sha256:01de7d5d241d47f6052f40647630cefe2189bb5193bac244e3ffca17b19106b2","target":"record","created_at":"2026-05-17T23:56:52Z","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":"85432f4d1f03b25a99f64135894fb015728cdc36be3c3f7cac729cda876167dc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-05T01:59:41Z","title_canon_sha256":"9c272b4dba0b7b6e300dd6d2bf066e758dd9788f8c3c1f34cf4e8ca0c94e194d"},"schema_version":"1.0","source":{"id":"1901.01352","kind":"arxiv","version":1}},"canonical_sha256":"a63e5de1ac15c41a11734d64bbe5bdd7df548c2362dacc6b86609c05525ffe2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a63e5de1ac15c41a11734d64bbe5bdd7df548c2362dacc6b86609c05525ffe2f","first_computed_at":"2026-05-17T23:56:52.148153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:52.148153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xnmT7aQGSDb6g/S5AB3GgUF48r6oD7zOFtsDDH6iXROU8HMzCYGvBtSxOEP7jt4Z1j1agitXQDWB1YHeaCsQAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:52.148579Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.01352","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01de7d5d241d47f6052f40647630cefe2189bb5193bac244e3ffca17b19106b2","sha256:9c9e8c44e30751c7ed7f5e185fc205ded0466f35456e82b2714172c0f6016527"],"state_sha256":"829e5a19b8455e65c397a198bf974b79514137cfd959f2ffad41067b61f3422a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H5Kcp67zReMi25MdVDKMsxGE0w9g6/e8RHzFWL8mWAUr/HyozFwlQkCPF8wxfFe5YMoh+rBU2Ld0JGTILGKqCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:34:08.267660Z","bundle_sha256":"4ceb3eefb9a2e21a9c2e0fc4e34e9ec816fcb452125524334bc71af7bec9101a"}}