{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4ZNDOD67ZRRNQQIME7VCVQVHNV","short_pith_number":"pith:4ZNDOD67","canonical_record":{"source":{"id":"1206.2777","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-13T12:15:13Z","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"2ee4bbc61c1797a6dbad792407dc6a4cbe8a4ec11bb92fb145d3295d5e5bcee5","abstract_canon_sha256":"1033d3a4110dc2768e7d8fcfd8af424fcc41242dc99a6eef982ab2a3be77789f"},"schema_version":"1.0"},"canonical_sha256":"e65a370fdfcc62d8410c27ea2ac2a76d5b74e0472c083aa790d03d1b2caaf085","source":{"kind":"arxiv","id":"1206.2777","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2777","created_at":"2026-05-18T03:17:57Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2777v1","created_at":"2026-05-18T03:17:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2777","created_at":"2026-05-18T03:17:57Z"},{"alias_kind":"pith_short_12","alias_value":"4ZNDOD67ZRRN","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4ZNDOD67ZRRNQQIM","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4ZNDOD67","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4ZNDOD67ZRRNQQIME7VCVQVHNV","target":"record","payload":{"canonical_record":{"source":{"id":"1206.2777","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-13T12:15:13Z","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"2ee4bbc61c1797a6dbad792407dc6a4cbe8a4ec11bb92fb145d3295d5e5bcee5","abstract_canon_sha256":"1033d3a4110dc2768e7d8fcfd8af424fcc41242dc99a6eef982ab2a3be77789f"},"schema_version":"1.0"},"canonical_sha256":"e65a370fdfcc62d8410c27ea2ac2a76d5b74e0472c083aa790d03d1b2caaf085","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:57.351040Z","signature_b64":"QeKLfKMQDIndjWoErBkN34VkxlsRzoSr8BIOwtwU5Kixe8KypZYEV5Ub5vMA3LKu8FBem+9KeGcLemsROQGjDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e65a370fdfcc62d8410c27ea2ac2a76d5b74e0472c083aa790d03d1b2caaf085","last_reissued_at":"2026-05-18T03:17:57.350439Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:57.350439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.2777","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":"2026-05-18T03:17:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/8ceMg7Or22IYuHajJJvQZBqN49HYGL7SwbRWFo9WwQtIqUbNJ2rRkrex63gb0YcEI8yTAoMeuMZ6Pl9Bf64BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:11:18.984582Z"},"content_sha256":"d679a6fb5596b2faf05f25a4a7a469d798ff1f8bf3755fd2676c0ee9fde35daa","schema_version":"1.0","event_id":"sha256:d679a6fb5596b2faf05f25a4a7a469d798ff1f8bf3755fd2676c0ee9fde35daa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4ZNDOD67ZRRNQQIME7VCVQVHNV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The geometry of antiferromagnetic spin chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Dmitri Bykov","submitted_at":"2012-06-13T12:15:13Z","abstract_excerpt":"We construct spin chains that describe relativistic sigma-models in the continuum limit, using symplectic geometry as a main tool. The target space can be an arbitrary complex flag manifold, and we find universal expressions for the metric and theta-term."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2777","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":"2026-05-18T03:17:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/IPeQSw+TdG7CxGDE9vKpXZG2g8rXWpyn1T+St39we10XwHFkvOlB1cWfJTJwSgFLiQTzUj817410XaYy6aPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:11:18.984920Z"},"content_sha256":"ecd0c65ab8697cad40e56aee7be428c5e1c4a506fdfc30bf02a13bf03906f00a","schema_version":"1.0","event_id":"sha256:ecd0c65ab8697cad40e56aee7be428c5e1c4a506fdfc30bf02a13bf03906f00a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4ZNDOD67ZRRNQQIME7VCVQVHNV/bundle.json","state_url":"https://pith.science/pith/4ZNDOD67ZRRNQQIME7VCVQVHNV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4ZNDOD67ZRRNQQIME7VCVQVHNV/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":"2026-06-12T10:11:18Z","links":{"resolver":"https://pith.science/pith/4ZNDOD67ZRRNQQIME7VCVQVHNV","bundle":"https://pith.science/pith/4ZNDOD67ZRRNQQIME7VCVQVHNV/bundle.json","state":"https://pith.science/pith/4ZNDOD67ZRRNQQIME7VCVQVHNV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4ZNDOD67ZRRNQQIME7VCVQVHNV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4ZNDOD67ZRRNQQIME7VCVQVHNV","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":"1033d3a4110dc2768e7d8fcfd8af424fcc41242dc99a6eef982ab2a3be77789f","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-13T12:15:13Z","title_canon_sha256":"2ee4bbc61c1797a6dbad792407dc6a4cbe8a4ec11bb92fb145d3295d5e5bcee5"},"schema_version":"1.0","source":{"id":"1206.2777","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2777","created_at":"2026-05-18T03:17:57Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2777v1","created_at":"2026-05-18T03:17:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2777","created_at":"2026-05-18T03:17:57Z"},{"alias_kind":"pith_short_12","alias_value":"4ZNDOD67ZRRN","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4ZNDOD67ZRRNQQIM","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4ZNDOD67","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:ecd0c65ab8697cad40e56aee7be428c5e1c4a506fdfc30bf02a13bf03906f00a","target":"graph","created_at":"2026-05-18T03:17:57Z","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 construct spin chains that describe relativistic sigma-models in the continuum limit, using symplectic geometry as a main tool. The target space can be an arbitrary complex flag manifold, and we find universal expressions for the metric and theta-term.","authors_text":"Dmitri Bykov","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-13T12:15:13Z","title":"The geometry of antiferromagnetic spin chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2777","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:d679a6fb5596b2faf05f25a4a7a469d798ff1f8bf3755fd2676c0ee9fde35daa","target":"record","created_at":"2026-05-18T03:17:57Z","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":"1033d3a4110dc2768e7d8fcfd8af424fcc41242dc99a6eef982ab2a3be77789f","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-13T12:15:13Z","title_canon_sha256":"2ee4bbc61c1797a6dbad792407dc6a4cbe8a4ec11bb92fb145d3295d5e5bcee5"},"schema_version":"1.0","source":{"id":"1206.2777","kind":"arxiv","version":1}},"canonical_sha256":"e65a370fdfcc62d8410c27ea2ac2a76d5b74e0472c083aa790d03d1b2caaf085","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e65a370fdfcc62d8410c27ea2ac2a76d5b74e0472c083aa790d03d1b2caaf085","first_computed_at":"2026-05-18T03:17:57.350439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:57.350439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QeKLfKMQDIndjWoErBkN34VkxlsRzoSr8BIOwtwU5Kixe8KypZYEV5Ub5vMA3LKu8FBem+9KeGcLemsROQGjDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:57.351040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2777","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d679a6fb5596b2faf05f25a4a7a469d798ff1f8bf3755fd2676c0ee9fde35daa","sha256:ecd0c65ab8697cad40e56aee7be428c5e1c4a506fdfc30bf02a13bf03906f00a"],"state_sha256":"b2f481a3c8b186d055d3aa3d88e4f439587aafc05806b5bc467aef153f175e78"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X8hRMC0D05g3OLBI52nzbNwIof/3WCRwkKvrbxOIzm66ozARv9zK5XnfgQrdeAzVJdevdmgwk+TfnZZHzadkBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T10:11:18.986980Z","bundle_sha256":"17a7b1399221597122f9aa585adbd1b1429c284d491c2917903cf5e18de63d55"}}