{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:D54K4IBWORY5IU35KPCR4ZA7YL","short_pith_number":"pith:D54K4IBW","canonical_record":{"source":{"id":"1205.4400","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-20T09:53:50Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"title_canon_sha256":"0ffdaa88788bf90a5bb545cd1eb855c6d6541fe04bfc9c47603af7564c808186","abstract_canon_sha256":"6579406543888e8a208fca627f46805f057836159eaea73fd9b9b1a5da8ad5bf"},"schema_version":"1.0"},"canonical_sha256":"1f78ae20367471d4537d53c51e641fc2da0c74cd9e73818b1750742f017dc3d3","source":{"kind":"arxiv","id":"1205.4400","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4400","created_at":"2026-05-18T03:46:34Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4400v2","created_at":"2026-05-18T03:46:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4400","created_at":"2026-05-18T03:46:34Z"},{"alias_kind":"pith_short_12","alias_value":"D54K4IBWORY5","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"D54K4IBWORY5IU35","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"D54K4IBW","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:D54K4IBWORY5IU35KPCR4ZA7YL","target":"record","payload":{"canonical_record":{"source":{"id":"1205.4400","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-20T09:53:50Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"title_canon_sha256":"0ffdaa88788bf90a5bb545cd1eb855c6d6541fe04bfc9c47603af7564c808186","abstract_canon_sha256":"6579406543888e8a208fca627f46805f057836159eaea73fd9b9b1a5da8ad5bf"},"schema_version":"1.0"},"canonical_sha256":"1f78ae20367471d4537d53c51e641fc2da0c74cd9e73818b1750742f017dc3d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:34.503537Z","signature_b64":"XMBRJKf8aTNrt5iDZ/6/PKX3xEaHuLW44jWy92t6Wblg9noQSS+GQgHM0oBlfs+lvsk5D60XBY5GslNZOXPrDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f78ae20367471d4537d53c51e641fc2da0c74cd9e73818b1750742f017dc3d3","last_reissued_at":"2026-05-18T03:46:34.502052Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:34.502052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.4400","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":"2026-05-18T03:46:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TLdxllgp0vWe3NmUSmKdha5p3VliSwQ+7KUqDp96Uu7bWcpfTDvP1ItdX4NS+VW/EUjn2kit88nVTWbT+9TKDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:57:08.709586Z"},"content_sha256":"b4286a104cf30477805d601b62bcec3038b9fb197e106ade7324eb3bc870f2b2","schema_version":"1.0","event_id":"sha256:b4286a104cf30477805d601b62bcec3038b9fb197e106ade7324eb3bc870f2b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:D54K4IBWORY5IU35KPCR4ZA7YL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Partial domain wall partition functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"M. Wheeler, O. Foda","submitted_at":"2012-05-20T09:53:50Z","abstract_excerpt":"We consider six-vertex model configurations on an n-by-N lattice, n =< N, that satisfy a variation on domain wall boundary conditions that we define and call \"partial domain wall boundary conditions\". We obtain two expressions for the corresponding \"partial domain wall partition function\", as an (N-by-N)-determinant and as an (n-by-n)-determinant. The latter was first obtained by I Kostov. We show that the two determinants are equal, as expected from the fact that they are partition functions of the same object, that each is a discrete KP tau-function, and, recalling that these determinants re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4400","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":""},"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":"2026-05-18T03:46:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OwgtA7mE6pP5vO2AsToQE03trFASgmTD0Zmtu+fCP0ONb13j3FBhtTPKeb6a4gFhGvESwkKdMLpvOTri/C6dDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:57:08.710218Z"},"content_sha256":"a5238303d863ae772cc08a28e1810e9797e78674a0f32f32a697266925dbfd50","schema_version":"1.0","event_id":"sha256:a5238303d863ae772cc08a28e1810e9797e78674a0f32f32a697266925dbfd50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D54K4IBWORY5IU35KPCR4ZA7YL/bundle.json","state_url":"https://pith.science/pith/D54K4IBWORY5IU35KPCR4ZA7YL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D54K4IBWORY5IU35KPCR4ZA7YL/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":"2026-06-05T10:57:08Z","links":{"resolver":"https://pith.science/pith/D54K4IBWORY5IU35KPCR4ZA7YL","bundle":"https://pith.science/pith/D54K4IBWORY5IU35KPCR4ZA7YL/bundle.json","state":"https://pith.science/pith/D54K4IBWORY5IU35KPCR4ZA7YL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D54K4IBWORY5IU35KPCR4ZA7YL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:D54K4IBWORY5IU35KPCR4ZA7YL","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":"6579406543888e8a208fca627f46805f057836159eaea73fd9b9b1a5da8ad5bf","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-20T09:53:50Z","title_canon_sha256":"0ffdaa88788bf90a5bb545cd1eb855c6d6541fe04bfc9c47603af7564c808186"},"schema_version":"1.0","source":{"id":"1205.4400","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4400","created_at":"2026-05-18T03:46:34Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4400v2","created_at":"2026-05-18T03:46:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4400","created_at":"2026-05-18T03:46:34Z"},{"alias_kind":"pith_short_12","alias_value":"D54K4IBWORY5","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"D54K4IBWORY5IU35","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"D54K4IBW","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:a5238303d863ae772cc08a28e1810e9797e78674a0f32f32a697266925dbfd50","target":"graph","created_at":"2026-05-18T03:46:34Z","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 consider six-vertex model configurations on an n-by-N lattice, n =< N, that satisfy a variation on domain wall boundary conditions that we define and call \"partial domain wall boundary conditions\". We obtain two expressions for the corresponding \"partial domain wall partition function\", as an (N-by-N)-determinant and as an (n-by-n)-determinant. The latter was first obtained by I Kostov. We show that the two determinants are equal, as expected from the fact that they are partition functions of the same object, that each is a discrete KP tau-function, and, recalling that these determinants re","authors_text":"M. Wheeler, O. Foda","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-20T09:53:50Z","title":"Partial domain wall partition functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4400","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:b4286a104cf30477805d601b62bcec3038b9fb197e106ade7324eb3bc870f2b2","target":"record","created_at":"2026-05-18T03:46:34Z","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":"6579406543888e8a208fca627f46805f057836159eaea73fd9b9b1a5da8ad5bf","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-20T09:53:50Z","title_canon_sha256":"0ffdaa88788bf90a5bb545cd1eb855c6d6541fe04bfc9c47603af7564c808186"},"schema_version":"1.0","source":{"id":"1205.4400","kind":"arxiv","version":2}},"canonical_sha256":"1f78ae20367471d4537d53c51e641fc2da0c74cd9e73818b1750742f017dc3d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f78ae20367471d4537d53c51e641fc2da0c74cd9e73818b1750742f017dc3d3","first_computed_at":"2026-05-18T03:46:34.502052Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:34.502052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XMBRJKf8aTNrt5iDZ/6/PKX3xEaHuLW44jWy92t6Wblg9noQSS+GQgHM0oBlfs+lvsk5D60XBY5GslNZOXPrDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:34.503537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.4400","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4286a104cf30477805d601b62bcec3038b9fb197e106ade7324eb3bc870f2b2","sha256:a5238303d863ae772cc08a28e1810e9797e78674a0f32f32a697266925dbfd50"],"state_sha256":"e3e0d5ab862b3f67f2e63bd9778657cfb2f284426b86081e99dac8b44c3af067"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F0OM4WVv1LO+La/iNLiOE0x8z6M3iTYvwLJcTlNnfCw/O5C3FMHYnTukgOSd4PA8MmzClJRpNSQGeYN36HYkBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:57:08.713265Z","bundle_sha256":"f303c18f2460f62fbace63b8ce3398a717391d0d83813ac2288074a17d14146b"}}