{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:WYOIFZTQZLQE4AHJMB3VWVTAJO","short_pith_number":"pith:WYOIFZTQ","canonical_record":{"source":{"id":"1004.1015","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-04-07T06:44:10Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"71874e63c3ba49c52b5666ae76b2cb32c226c08510c7b733cf4beaeebf7f5d5b","abstract_canon_sha256":"f6e85fa2f14595356be162397d025886bebcfdc3e6f3d0dc81ca5068e055a545"},"schema_version":"1.0"},"canonical_sha256":"b61c82e670cae04e00e960775b56604b897b50b4274187cc7c684594938f9298","source":{"kind":"arxiv","id":"1004.1015","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1015","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1015v2","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1015","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"pith_short_12","alias_value":"WYOIFZTQZLQE","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WYOIFZTQZLQE4AHJ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WYOIFZTQ","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:WYOIFZTQZLQE4AHJMB3VWVTAJO","target":"record","payload":{"canonical_record":{"source":{"id":"1004.1015","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-04-07T06:44:10Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"71874e63c3ba49c52b5666ae76b2cb32c226c08510c7b733cf4beaeebf7f5d5b","abstract_canon_sha256":"f6e85fa2f14595356be162397d025886bebcfdc3e6f3d0dc81ca5068e055a545"},"schema_version":"1.0"},"canonical_sha256":"b61c82e670cae04e00e960775b56604b897b50b4274187cc7c684594938f9298","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:34.842875Z","signature_b64":"ibA5hHOA0y4y4sDpY+CkqfN/jg4zhDt/XF83ii9znUM/syv7Rnbi3Dv+rPpQynD2lK2a0sbU8mSSW2AuDJTkBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b61c82e670cae04e00e960775b56604b897b50b4274187cc7c684594938f9298","last_reissued_at":"2026-05-18T02:33:34.842518Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:34.842518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.1015","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":"2026-05-18T02:33:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IabPYnGsIeHPpx0X+PoQ7ogJdAq2HKWtfn7s0eJo0z5wbLF5NZHTnCArLAWXlLZAZhi+U2KZcVQjAm/cEhRHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:11:41.502648Z"},"content_sha256":"2b73d8d7d3b0a8fba585fe56d19beb3da80fc946c39c5ee51896414e9d6fcbcf","schema_version":"1.0","event_id":"sha256:2b73d8d7d3b0a8fba585fe56d19beb3da80fc946c39c5ee51896414e9d6fcbcf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:WYOIFZTQZLQE4AHJMB3VWVTAJO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Partition function of the trigonometric SOS model with reflecting end","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Ghali Filali (LPTM), Nikolai Kitanine (IMB)","submitted_at":"2010-04-07T06:44:10Z","abstract_excerpt":"We compute the partition function of the trigonometric SOS model with one reflecting end and domain wall type boundary conditions. We show that in this case, instead of a sum of determinants obtained by Rosengren for the SOS model on a square lattice without reflection, the partition function can be represented as a single Izergin determinant. This result is crucial for the study of the Bethe vectors of the spin chains with non-diagonal boundary terms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1015","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":"2026-05-18T02:33:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SltIOr6T3kBcsUD1CGpO+pntqjvEQBsbfB0oENiBqgmuxeI6RIFeFhEs7I9YMDPEty6d6j3LpgTgb9rhoa4GDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:11:41.503103Z"},"content_sha256":"1f1b6f976c564b37e3c4bd37592b231a9410ae588dc6f1e8dfaf39601e665b34","schema_version":"1.0","event_id":"sha256:1f1b6f976c564b37e3c4bd37592b231a9410ae588dc6f1e8dfaf39601e665b34"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WYOIFZTQZLQE4AHJMB3VWVTAJO/bundle.json","state_url":"https://pith.science/pith/WYOIFZTQZLQE4AHJMB3VWVTAJO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WYOIFZTQZLQE4AHJMB3VWVTAJO/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":"2026-08-11T18:11:41Z","links":{"resolver":"https://pith.science/pith/WYOIFZTQZLQE4AHJMB3VWVTAJO","bundle":"https://pith.science/pith/WYOIFZTQZLQE4AHJMB3VWVTAJO/bundle.json","state":"https://pith.science/pith/WYOIFZTQZLQE4AHJMB3VWVTAJO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WYOIFZTQZLQE4AHJMB3VWVTAJO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WYOIFZTQZLQE4AHJMB3VWVTAJO","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":"f6e85fa2f14595356be162397d025886bebcfdc3e6f3d0dc81ca5068e055a545","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-04-07T06:44:10Z","title_canon_sha256":"71874e63c3ba49c52b5666ae76b2cb32c226c08510c7b733cf4beaeebf7f5d5b"},"schema_version":"1.0","source":{"id":"1004.1015","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1015","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1015v2","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1015","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"pith_short_12","alias_value":"WYOIFZTQZLQE","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WYOIFZTQZLQE4AHJ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WYOIFZTQ","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:1f1b6f976c564b37e3c4bd37592b231a9410ae588dc6f1e8dfaf39601e665b34","target":"graph","created_at":"2026-05-18T02:33:34Z","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 compute the partition function of the trigonometric SOS model with one reflecting end and domain wall type boundary conditions. We show that in this case, instead of a sum of determinants obtained by Rosengren for the SOS model on a square lattice without reflection, the partition function can be represented as a single Izergin determinant. This result is crucial for the study of the Bethe vectors of the spin chains with non-diagonal boundary terms.","authors_text":"Ghali Filali (LPTM), Nikolai Kitanine (IMB)","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-04-07T06:44:10Z","title":"Partition function of the trigonometric SOS model with reflecting end"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1015","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":"sha256:2b73d8d7d3b0a8fba585fe56d19beb3da80fc946c39c5ee51896414e9d6fcbcf","target":"record","created_at":"2026-05-18T02:33:34Z","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":"f6e85fa2f14595356be162397d025886bebcfdc3e6f3d0dc81ca5068e055a545","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-04-07T06:44:10Z","title_canon_sha256":"71874e63c3ba49c52b5666ae76b2cb32c226c08510c7b733cf4beaeebf7f5d5b"},"schema_version":"1.0","source":{"id":"1004.1015","kind":"arxiv","version":2}},"canonical_sha256":"b61c82e670cae04e00e960775b56604b897b50b4274187cc7c684594938f9298","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b61c82e670cae04e00e960775b56604b897b50b4274187cc7c684594938f9298","first_computed_at":"2026-05-18T02:33:34.842518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:34.842518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ibA5hHOA0y4y4sDpY+CkqfN/jg4zhDt/XF83ii9znUM/syv7Rnbi3Dv+rPpQynD2lK2a0sbU8mSSW2AuDJTkBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:34.842875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.1015","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b73d8d7d3b0a8fba585fe56d19beb3da80fc946c39c5ee51896414e9d6fcbcf","sha256:1f1b6f976c564b37e3c4bd37592b231a9410ae588dc6f1e8dfaf39601e665b34"],"state_sha256":"40ef9bde6bfafbb8254b3d3fbc9f8544447393df245cea74a3ff96e7ecceb357"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MTMLhSDRNb5LwDiQgaHXj58kD6mT3EevMx/S+APiyOxybhLdy1X53BLua99dHfUEjg4SfpCgB31OyVCpqH+VCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T18:11:41.506961Z","bundle_sha256":"36755fdec60bad88d9b32e24f4b04fa75959f8f8cfd0c0c147c4b553641db0c1"}}