{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:OHZBJ3D7IBTOV3Q2EE3XDIMDV3","short_pith_number":"pith:OHZBJ3D7","canonical_record":{"source":{"id":"math-ph/0309064","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2003-09-30T17:25:43Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"12bc18258e4d8cd0f7efa957a9f62cfe7b50acff5a699f1d08cb2b70d10b8d36","abstract_canon_sha256":"9a9d9b78fc4b334e15b416da1f337ce102cf143632c9577eb24dcf68708464da"},"schema_version":"1.0"},"canonical_sha256":"71f214ec7f4066eaee1a213771a183aed39d445ffd7417924570bf6553cfc270","source":{"kind":"arxiv","id":"math-ph/0309064","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0309064","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0309064v2","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0309064","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"OHZBJ3D7IBTO","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_16","alias_value":"OHZBJ3D7IBTOV3Q2","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_8","alias_value":"OHZBJ3D7","created_at":"2026-07-04T15:20:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:OHZBJ3D7IBTOV3Q2EE3XDIMDV3","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0309064","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2003-09-30T17:25:43Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"12bc18258e4d8cd0f7efa957a9f62cfe7b50acff5a699f1d08cb2b70d10b8d36","abstract_canon_sha256":"9a9d9b78fc4b334e15b416da1f337ce102cf143632c9577eb24dcf68708464da"},"schema_version":"1.0"},"canonical_sha256":"71f214ec7f4066eaee1a213771a183aed39d445ffd7417924570bf6553cfc270","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:20:32.697593Z","signature_b64":"tugp1kGpUeboWoD82DpgL3tmmRtbPObMDV5J9IjQpKedi+YsXVD4qikCq3RtafOn8dxkS0yX8cyFchB7cyE/AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71f214ec7f4066eaee1a213771a183aed39d445ffd7417924570bf6553cfc270","last_reissued_at":"2026-07-04T15:20:32.697190Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:20:32.697190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0309064","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:20:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MFf+zCRiwafaoW44AXqqK/t+8kWAPhnQzKofsN9k19cTg5CrRKUKv7KNfyhZRC0CyouNrlElP+7HFsMHPKsbCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:42:13.070226Z"},"content_sha256":"d6a98d844f50f0e85b882d5debbb375c67ae49234517084e26c52ac148077f99","schema_version":"1.0","event_id":"sha256:d6a98d844f50f0e85b882d5debbb375c67ae49234517084e26c52ac148077f99"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:OHZBJ3D7IBTOV3Q2EE3XDIMDV3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the partition function of the six-vertex model with domain wall boundary conditions","license":"","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Andrei Pronko, Filippo Colomo","submitted_at":"2003-09-30T17:25:43Z","abstract_excerpt":"The six-vertex model on an $N\\times N$ square lattice with domain wall boundary conditions is considered. A Fredholm determinant representation for the partition function of the model is given. The kernel of the corresponding integral operator is of the so-called integrable type, and involves classical orthogonal polynomials. From this representation, a ``reconstruction'' formula is proposed, which expresses the partition function as the trace of a suitably chosen quantum operator, in the spirit of corner transfer matrix and vertex operator approaches to integrable spin models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0309064","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math-ph/0309064/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:20:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wufmx8NUwvpBZVl8d/NR60XnUOqO/n75LfclomrzcPLWRgNXACvP5p9CuZW/gsUZqVPiP7+OUlX6MPDPMNVqCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:42:13.071156Z"},"content_sha256":"f405fe6655cf1dca2a809930412658b262eca9cfe4ad4dc4fcc4230681b4a6fb","schema_version":"1.0","event_id":"sha256:f405fe6655cf1dca2a809930412658b262eca9cfe4ad4dc4fcc4230681b4a6fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OHZBJ3D7IBTOV3Q2EE3XDIMDV3/bundle.json","state_url":"https://pith.science/pith/OHZBJ3D7IBTOV3Q2EE3XDIMDV3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OHZBJ3D7IBTOV3Q2EE3XDIMDV3/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":"2026-08-08T09:42:13Z","links":{"resolver":"https://pith.science/pith/OHZBJ3D7IBTOV3Q2EE3XDIMDV3","bundle":"https://pith.science/pith/OHZBJ3D7IBTOV3Q2EE3XDIMDV3/bundle.json","state":"https://pith.science/pith/OHZBJ3D7IBTOV3Q2EE3XDIMDV3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OHZBJ3D7IBTOV3Q2EE3XDIMDV3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:OHZBJ3D7IBTOV3Q2EE3XDIMDV3","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":"9a9d9b78fc4b334e15b416da1f337ce102cf143632c9577eb24dcf68708464da","cross_cats_sorted":["hep-th","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2003-09-30T17:25:43Z","title_canon_sha256":"12bc18258e4d8cd0f7efa957a9f62cfe7b50acff5a699f1d08cb2b70d10b8d36"},"schema_version":"1.0","source":{"id":"math-ph/0309064","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0309064","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0309064v2","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0309064","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"OHZBJ3D7IBTO","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_16","alias_value":"OHZBJ3D7IBTOV3Q2","created_at":"2026-07-04T15:20:32Z"},{"alias_kind":"pith_short_8","alias_value":"OHZBJ3D7","created_at":"2026-07-04T15:20:32Z"}],"graph_snapshots":[{"event_id":"sha256:f405fe6655cf1dca2a809930412658b262eca9cfe4ad4dc4fcc4230681b4a6fb","target":"graph","created_at":"2026-07-04T15:20:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math-ph/0309064/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The six-vertex model on an $N\\times N$ square lattice with domain wall boundary conditions is considered. A Fredholm determinant representation for the partition function of the model is given. The kernel of the corresponding integral operator is of the so-called integrable type, and involves classical orthogonal polynomials. From this representation, a ``reconstruction'' formula is proposed, which expresses the partition function as the trace of a suitably chosen quantum operator, in the spirit of corner transfer matrix and vertex operator approaches to integrable spin models.","authors_text":"Andrei Pronko, Filippo Colomo","cross_cats":["hep-th","math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2003-09-30T17:25:43Z","title":"On the partition function of the six-vertex model with domain wall boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0309064","kind":"arxiv","version":2},"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:d6a98d844f50f0e85b882d5debbb375c67ae49234517084e26c52ac148077f99","target":"record","created_at":"2026-07-04T15:20:32Z","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":"9a9d9b78fc4b334e15b416da1f337ce102cf143632c9577eb24dcf68708464da","cross_cats_sorted":["hep-th","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2003-09-30T17:25:43Z","title_canon_sha256":"12bc18258e4d8cd0f7efa957a9f62cfe7b50acff5a699f1d08cb2b70d10b8d36"},"schema_version":"1.0","source":{"id":"math-ph/0309064","kind":"arxiv","version":2}},"canonical_sha256":"71f214ec7f4066eaee1a213771a183aed39d445ffd7417924570bf6553cfc270","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71f214ec7f4066eaee1a213771a183aed39d445ffd7417924570bf6553cfc270","first_computed_at":"2026-07-04T15:20:32.697190Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:32.697190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tugp1kGpUeboWoD82DpgL3tmmRtbPObMDV5J9IjQpKedi+YsXVD4qikCq3RtafOn8dxkS0yX8cyFchB7cyE/AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:32.697593Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0309064","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6a98d844f50f0e85b882d5debbb375c67ae49234517084e26c52ac148077f99","sha256:f405fe6655cf1dca2a809930412658b262eca9cfe4ad4dc4fcc4230681b4a6fb"],"state_sha256":"ca5f0257ff2a018af4bf7eccebf0947e39108e565686f93dd61551abc66be950"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MjyIXVdPYm/zU8smb3rQXxg9jZpiJF3SqdBxNeOXNevbM6QFdTqPZglOS53mNx9ODNbrzQ5J2FHd83DQD51BAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:42:13.077581Z","bundle_sha256":"38274b279baad560ec4a4806ea278677ae419b2a4cca96033069704a4676ff63"}}