{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UCXA33GKKB5Q56MXHL2HKXWGXU","short_pith_number":"pith:UCXA33GK","canonical_record":{"source":{"id":"1610.09229","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-10-28T14:12:39Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"title_canon_sha256":"bbb844afa0815514cc8c35977e900713cb2efa1a78fd30317f6f1ea28c712200","abstract_canon_sha256":"14f0ae8e1406b8da205ae3e5016bfcffdd1aa8a9777c60609580ecd118ad9a46"},"schema_version":"1.0"},"canonical_sha256":"a0ae0decca507b0ef9973af4755ec6bd2772810e31d708d9815bcee1d3d1119a","source":{"kind":"arxiv","id":"1610.09229","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09229","created_at":"2026-05-18T00:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09229v1","created_at":"2026-05-18T00:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09229","created_at":"2026-05-18T00:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"UCXA33GKKB5Q","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UCXA33GKKB5Q56MX","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UCXA33GK","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UCXA33GKKB5Q56MXHL2HKXWGXU","target":"record","payload":{"canonical_record":{"source":{"id":"1610.09229","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-10-28T14:12:39Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"title_canon_sha256":"bbb844afa0815514cc8c35977e900713cb2efa1a78fd30317f6f1ea28c712200","abstract_canon_sha256":"14f0ae8e1406b8da205ae3e5016bfcffdd1aa8a9777c60609580ecd118ad9a46"},"schema_version":"1.0"},"canonical_sha256":"a0ae0decca507b0ef9973af4755ec6bd2772810e31d708d9815bcee1d3d1119a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:51.939942Z","signature_b64":"0cLPb2etgliLwu0uR8OBFNX65qbAWcBchMT6T9ZoVE+4RTq8fvw5Bnu8SXmpl4quWCUhbseVbQCDAaQ5Mlj6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0ae0decca507b0ef9973af4755ec6bd2772810e31d708d9815bcee1d3d1119a","last_reissued_at":"2026-05-18T00:50:51.939407Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:51.939407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.09229","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":"2026-05-18T00:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"afx9Y/1784Ms4EuhNxsAlPGbwLQXOSsHGE1SvF9LbPmytnivOorAFMHMf1gxHhsib6s4VmWqozAjaYXwEUkrDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T18:28:28.350247Z"},"content_sha256":"dadf33f9b2fb3727a38f237b023fc2bdd875f33ef41ef199581566c4b5eb95e5","schema_version":"1.0","event_id":"sha256:dadf33f9b2fb3727a38f237b023fc2bdd875f33ef41ef199581566c4b5eb95e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UCXA33GKKB5Q56MXHL2HKXWGXU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The star-triangle relation, lens partition function, and hypergeometric sum/integrals","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":"Andrew P. Kels, Ilmar Gahramanov","submitted_at":"2016-10-28T14:12:39Z","abstract_excerpt":"The aim of the present paper is to consider the hyperbolic limit of an elliptic hypergeometric sum/integral identity, and associated lattice model of statistical mechanics previously obtained by the second author. The hyperbolic sum/integral identity obtained from this limit, has two important physical applications in the context of the so-called gauge/YBE correspondence. For statistical mechanics, this identity is equivalent to a new solution of the star-triangle relation form of the Yang-Baxter equation, that directly generalises the Faddeev-Volkov models to the case of discrete and continuo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09229","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":"2026-05-18T00:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W8bjwr0sd1CwOhsfFAL3OQ2R5a4WYS3mUt8UOTA+45s1r+cn1xh3xGvZNyvraG7T6439ap2pNtzaN4nuLfA1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T18:28:28.350738Z"},"content_sha256":"53d45276ca97e9c1fc32e24e9f23edc5259b200fcbec01795f9c650d1c7ba5cb","schema_version":"1.0","event_id":"sha256:53d45276ca97e9c1fc32e24e9f23edc5259b200fcbec01795f9c650d1c7ba5cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UCXA33GKKB5Q56MXHL2HKXWGXU/bundle.json","state_url":"https://pith.science/pith/UCXA33GKKB5Q56MXHL2HKXWGXU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UCXA33GKKB5Q56MXHL2HKXWGXU/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":"2026-08-21T18:28:28Z","links":{"resolver":"https://pith.science/pith/UCXA33GKKB5Q56MXHL2HKXWGXU","bundle":"https://pith.science/pith/UCXA33GKKB5Q56MXHL2HKXWGXU/bundle.json","state":"https://pith.science/pith/UCXA33GKKB5Q56MXHL2HKXWGXU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UCXA33GKKB5Q56MXHL2HKXWGXU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UCXA33GKKB5Q56MXHL2HKXWGXU","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":"14f0ae8e1406b8da205ae3e5016bfcffdd1aa8a9777c60609580ecd118ad9a46","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":"2016-10-28T14:12:39Z","title_canon_sha256":"bbb844afa0815514cc8c35977e900713cb2efa1a78fd30317f6f1ea28c712200"},"schema_version":"1.0","source":{"id":"1610.09229","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09229","created_at":"2026-05-18T00:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09229v1","created_at":"2026-05-18T00:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09229","created_at":"2026-05-18T00:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"UCXA33GKKB5Q","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UCXA33GKKB5Q56MX","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UCXA33GK","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:53d45276ca97e9c1fc32e24e9f23edc5259b200fcbec01795f9c650d1c7ba5cb","target":"graph","created_at":"2026-05-18T00:50:51Z","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":"The aim of the present paper is to consider the hyperbolic limit of an elliptic hypergeometric sum/integral identity, and associated lattice model of statistical mechanics previously obtained by the second author. The hyperbolic sum/integral identity obtained from this limit, has two important physical applications in the context of the so-called gauge/YBE correspondence. For statistical mechanics, this identity is equivalent to a new solution of the star-triangle relation form of the Yang-Baxter equation, that directly generalises the Faddeev-Volkov models to the case of discrete and continuo","authors_text":"Andrew P. Kels, Ilmar Gahramanov","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":"2016-10-28T14:12:39Z","title":"The star-triangle relation, lens partition function, and hypergeometric sum/integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09229","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:dadf33f9b2fb3727a38f237b023fc2bdd875f33ef41ef199581566c4b5eb95e5","target":"record","created_at":"2026-05-18T00:50:51Z","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":"14f0ae8e1406b8da205ae3e5016bfcffdd1aa8a9777c60609580ecd118ad9a46","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":"2016-10-28T14:12:39Z","title_canon_sha256":"bbb844afa0815514cc8c35977e900713cb2efa1a78fd30317f6f1ea28c712200"},"schema_version":"1.0","source":{"id":"1610.09229","kind":"arxiv","version":1}},"canonical_sha256":"a0ae0decca507b0ef9973af4755ec6bd2772810e31d708d9815bcee1d3d1119a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0ae0decca507b0ef9973af4755ec6bd2772810e31d708d9815bcee1d3d1119a","first_computed_at":"2026-05-18T00:50:51.939407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:51.939407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0cLPb2etgliLwu0uR8OBFNX65qbAWcBchMT6T9ZoVE+4RTq8fvw5Bnu8SXmpl4quWCUhbseVbQCDAaQ5Mlj6AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:51.939942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09229","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dadf33f9b2fb3727a38f237b023fc2bdd875f33ef41ef199581566c4b5eb95e5","sha256:53d45276ca97e9c1fc32e24e9f23edc5259b200fcbec01795f9c650d1c7ba5cb"],"state_sha256":"4c75eb24e8d96c36164f80357facdca48486cd5b1a8e4ee2fd4d7205fe9a67e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KFNGHL3hehkycqBQGwpdi5qJp4t9BZ/goibeeo/kHEw/5gVXqGj/G2ObOh1UPS69ABmAPGYYUb170kIXfPTHDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T18:28:28.354619Z","bundle_sha256":"80745713f0fd550ec8e61f6bdf4a6df9279a44a70aaefe3e3563bf1dc262b224"}}