{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YHPDQNV5DXQ2GUBSE2EB46WHOY","short_pith_number":"pith:YHPDQNV5","canonical_record":{"source":{"id":"1204.3479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T13:35:54Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"7ef59b152d2285bc4c71a9fdf3b3c1a63a667e25699f1a84d25e353704b4868e","abstract_canon_sha256":"9bb4ee548cf8e7d0ece00ada2ecf9580538799da140af20c385d1b9f8fc2d02a"},"schema_version":"1.0"},"canonical_sha256":"c1de3836bd1de1a3503226881e7ac7762e3f807df60352f3605d75492f24fbee","source":{"kind":"arxiv","id":"1204.3479","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3479","created_at":"2026-05-18T03:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3479v1","created_at":"2026-05-18T03:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3479","created_at":"2026-05-18T03:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"YHPDQNV5DXQ2","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YHPDQNV5DXQ2GUBS","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YHPDQNV5","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YHPDQNV5DXQ2GUBSE2EB46WHOY","target":"record","payload":{"canonical_record":{"source":{"id":"1204.3479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T13:35:54Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"7ef59b152d2285bc4c71a9fdf3b3c1a63a667e25699f1a84d25e353704b4868e","abstract_canon_sha256":"9bb4ee548cf8e7d0ece00ada2ecf9580538799da140af20c385d1b9f8fc2d02a"},"schema_version":"1.0"},"canonical_sha256":"c1de3836bd1de1a3503226881e7ac7762e3f807df60352f3605d75492f24fbee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:51.422891Z","signature_b64":"s230DMpaligXAJ1S2G1hVabEz53qw/voTYyqWB+nEG+8P1zI+WvoGy94vyWPSCUSog20Q03PwtBSn0QklX4aAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1de3836bd1de1a3503226881e7ac7762e3f807df60352f3605d75492f24fbee","last_reissued_at":"2026-05-18T03:57:51.422335Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:51.422335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.3479","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":"2026-05-18T03:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Enx2pJqhXLW5gA8e5awgbEgwgxSO+OA86QQsezOQwlZjSczob2BfE4UQFdfHb8iIqP1DjJG1NcAZUWcLEUSABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T18:13:27.799533Z"},"content_sha256":"39f21a8e8623eedae85f55ccb4dbf416ad18ba6783bc21c154ef7991c847f065","schema_version":"1.0","event_id":"sha256:39f21a8e8623eedae85f55ccb4dbf416ad18ba6783bc21c154ef7991c847f065"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YHPDQNV5DXQ2GUBSE2EB46WHOY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"A. Foerster, H. Babujian, M. Karowski","submitted_at":"2012-04-16T13:35:54Z","abstract_excerpt":"A system of O(N)-matrix difference equations is solved by means of the off-shell version of the nested algebraic Bethe ansatz. In the nesting process a new object, the $\\Pi$-matrix, is introduced to overcome the complexities of the O(N) group structure. The proof of the main theorem is presented in detail. In particular, the cancellation of all unwanted terms is shown explicitly. The highest weight property of the solutions is proved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3479","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":"2026-05-18T03:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ROqz29KYaKxd3EPX2xxBRqGZFnswePwgfJDurlhFFO6q/GNUaTF7uw+WbZ9OnlQsV97aFs0ig4ClwuGaokoOBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T18:13:27.799903Z"},"content_sha256":"0bfa07934dcd421e37b3e18666db2420ab61651409ad5c478787548a8d48729a","schema_version":"1.0","event_id":"sha256:0bfa07934dcd421e37b3e18666db2420ab61651409ad5c478787548a8d48729a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YHPDQNV5DXQ2GUBSE2EB46WHOY/bundle.json","state_url":"https://pith.science/pith/YHPDQNV5DXQ2GUBSE2EB46WHOY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YHPDQNV5DXQ2GUBSE2EB46WHOY/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":"2026-05-19T18:13:27Z","links":{"resolver":"https://pith.science/pith/YHPDQNV5DXQ2GUBSE2EB46WHOY","bundle":"https://pith.science/pith/YHPDQNV5DXQ2GUBSE2EB46WHOY/bundle.json","state":"https://pith.science/pith/YHPDQNV5DXQ2GUBSE2EB46WHOY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YHPDQNV5DXQ2GUBSE2EB46WHOY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YHPDQNV5DXQ2GUBSE2EB46WHOY","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":"9bb4ee548cf8e7d0ece00ada2ecf9580538799da140af20c385d1b9f8fc2d02a","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T13:35:54Z","title_canon_sha256":"7ef59b152d2285bc4c71a9fdf3b3c1a63a667e25699f1a84d25e353704b4868e"},"schema_version":"1.0","source":{"id":"1204.3479","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3479","created_at":"2026-05-18T03:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3479v1","created_at":"2026-05-18T03:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3479","created_at":"2026-05-18T03:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"YHPDQNV5DXQ2","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YHPDQNV5DXQ2GUBS","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YHPDQNV5","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:0bfa07934dcd421e37b3e18666db2420ab61651409ad5c478787548a8d48729a","target":"graph","created_at":"2026-05-18T03:57:51Z","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":"A system of O(N)-matrix difference equations is solved by means of the off-shell version of the nested algebraic Bethe ansatz. In the nesting process a new object, the $\\Pi$-matrix, is introduced to overcome the complexities of the O(N) group structure. The proof of the main theorem is presented in detail. In particular, the cancellation of all unwanted terms is shown explicitly. The highest weight property of the solutions is proved.","authors_text":"A. Foerster, H. Babujian, M. Karowski","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T13:35:54Z","title":"The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3479","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":"sha256:39f21a8e8623eedae85f55ccb4dbf416ad18ba6783bc21c154ef7991c847f065","target":"record","created_at":"2026-05-18T03:57:51Z","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":"9bb4ee548cf8e7d0ece00ada2ecf9580538799da140af20c385d1b9f8fc2d02a","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-16T13:35:54Z","title_canon_sha256":"7ef59b152d2285bc4c71a9fdf3b3c1a63a667e25699f1a84d25e353704b4868e"},"schema_version":"1.0","source":{"id":"1204.3479","kind":"arxiv","version":1}},"canonical_sha256":"c1de3836bd1de1a3503226881e7ac7762e3f807df60352f3605d75492f24fbee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1de3836bd1de1a3503226881e7ac7762e3f807df60352f3605d75492f24fbee","first_computed_at":"2026-05-18T03:57:51.422335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:51.422335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s230DMpaligXAJ1S2G1hVabEz53qw/voTYyqWB+nEG+8P1zI+WvoGy94vyWPSCUSog20Q03PwtBSn0QklX4aAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:51.422891Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3479","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39f21a8e8623eedae85f55ccb4dbf416ad18ba6783bc21c154ef7991c847f065","sha256:0bfa07934dcd421e37b3e18666db2420ab61651409ad5c478787548a8d48729a"],"state_sha256":"2dd137b6016b0ec22edc7b4f67dd5f0bfd5ddbc63424cd8b02aaaf00b3f6ae93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k8Mp1SSw9EMoD6EfGG+nhbDoM386bLj1TeuUJ+uo7gt4Ss4OfpnEfcnSZ4bOJ2agRmvu7r7+licfpt1l0uFLBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T18:13:27.802834Z","bundle_sha256":"3778402ad9a6f6dd1a7985462a723df7a58b9a898e1f95ba2c18836e5095b612"}}