{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:LS74M4ITHI3QZCP64K2OIWVJID","short_pith_number":"pith:LS74M4IT","canonical_record":{"source":{"id":"1011.2603","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-11T10:13:45Z","cross_cats_sorted":["hep-th","math-ph","math.MP","nlin.SI"],"title_canon_sha256":"803ab466e4dc1220ae9e150c6171072f21dc86c251f40f37a3b62dcc9f83f523","abstract_canon_sha256":"f3639ca787821f551875455e011b6459817a38cbd85ff579cf5efe1feb9c738e"},"schema_version":"1.0"},"canonical_sha256":"5cbfc671133a370c89fee2b4e45aa940f265f9755d469527cec7185e7c8ae126","source":{"kind":"arxiv","id":"1011.2603","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2603","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2603v1","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2603","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"LS74M4ITHI3Q","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LS74M4ITHI3QZCP6","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LS74M4IT","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:LS74M4ITHI3QZCP64K2OIWVJID","target":"record","payload":{"canonical_record":{"source":{"id":"1011.2603","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-11T10:13:45Z","cross_cats_sorted":["hep-th","math-ph","math.MP","nlin.SI"],"title_canon_sha256":"803ab466e4dc1220ae9e150c6171072f21dc86c251f40f37a3b62dcc9f83f523","abstract_canon_sha256":"f3639ca787821f551875455e011b6459817a38cbd85ff579cf5efe1feb9c738e"},"schema_version":"1.0"},"canonical_sha256":"5cbfc671133a370c89fee2b4e45aa940f265f9755d469527cec7185e7c8ae126","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:07.995727Z","signature_b64":"uxFsLDBn88Tleary3uKltrJS7PNet8SDUArC0pSD5Pk3ydrlM3RZScryhU2zp/WXJPV1u8O1KsHjmOM+2zy5Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cbfc671133a370c89fee2b4e45aa940f265f9755d469527cec7185e7c8ae126","last_reissued_at":"2026-05-18T04:07:07.994990Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:07.994990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.2603","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":"2026-05-18T04:07:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SPp5IRYv5QmyjGHmcWMQg+lcHKLtBzAKqSf73j60/wcTOoX1YgWPhnfQQw1g3hh8kJSEIbaqojCej2QrzHU4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:28:59.797857Z"},"content_sha256":"ad125ca50d5344f3f9d5f2f3f9b79370fbd31970fece78d2b37cb8cab9fa7835","schema_version":"1.0","event_id":"sha256:ad125ca50d5344f3f9d5f2f3f9b79370fbd31970fece78d2b37cb8cab9fa7835"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:LS74M4ITHI3QZCP64K2OIWVJID","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin operator matrix elements in the quantum Ising chain: fermion approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","nlin.SI"],"primary_cat":"cond-mat.stat-mech","authors_text":"N. Iorgov, V. Shadura, Yu. Tykhyy","submitted_at":"2010-11-11T10:13:45Z","abstract_excerpt":"Using some modification of the standard fermion technique we derive factorized formula for spin operator matrix elements (form-factors) between general eigenstates of the Hamiltonian of quantum Ising chain in a transverse field of finite length. The derivation is based on the approach recently used to derive factorized formula for Z_N-spin operator matrix elements between ground eigenstates of the Hamiltonian of the Z_N-symmetric superintegrable chiral Potts quantum chain. The obtained factorized formulas for the matrix elements of Ising chain coincide with the corresponding expressions obtain"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2603","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":"2026-05-18T04:07:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/T1yDU21rRJCpHfK/9bO++4tk6CywAYG5VKJ5kQrm1xmD5F+YB/EAiwhRYZTYBiWmv1vnNdDHOGVZFpkbia1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:28:59.798560Z"},"content_sha256":"77cd1eb64bc5d3248e2f586a3b3044cdb8eef5f6f303e265e38b6aed27a9e335","schema_version":"1.0","event_id":"sha256:77cd1eb64bc5d3248e2f586a3b3044cdb8eef5f6f303e265e38b6aed27a9e335"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LS74M4ITHI3QZCP64K2OIWVJID/bundle.json","state_url":"https://pith.science/pith/LS74M4ITHI3QZCP64K2OIWVJID/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LS74M4ITHI3QZCP64K2OIWVJID/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":"2026-05-30T01:28:59Z","links":{"resolver":"https://pith.science/pith/LS74M4ITHI3QZCP64K2OIWVJID","bundle":"https://pith.science/pith/LS74M4ITHI3QZCP64K2OIWVJID/bundle.json","state":"https://pith.science/pith/LS74M4ITHI3QZCP64K2OIWVJID/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LS74M4ITHI3QZCP64K2OIWVJID/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LS74M4ITHI3QZCP64K2OIWVJID","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":"f3639ca787821f551875455e011b6459817a38cbd85ff579cf5efe1feb9c738e","cross_cats_sorted":["hep-th","math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-11T10:13:45Z","title_canon_sha256":"803ab466e4dc1220ae9e150c6171072f21dc86c251f40f37a3b62dcc9f83f523"},"schema_version":"1.0","source":{"id":"1011.2603","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2603","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2603v1","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2603","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"LS74M4ITHI3Q","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LS74M4ITHI3QZCP6","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LS74M4IT","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:77cd1eb64bc5d3248e2f586a3b3044cdb8eef5f6f303e265e38b6aed27a9e335","target":"graph","created_at":"2026-05-18T04:07:07Z","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":"Using some modification of the standard fermion technique we derive factorized formula for spin operator matrix elements (form-factors) between general eigenstates of the Hamiltonian of quantum Ising chain in a transverse field of finite length. The derivation is based on the approach recently used to derive factorized formula for Z_N-spin operator matrix elements between ground eigenstates of the Hamiltonian of the Z_N-symmetric superintegrable chiral Potts quantum chain. The obtained factorized formulas for the matrix elements of Ising chain coincide with the corresponding expressions obtain","authors_text":"N. Iorgov, V. Shadura, Yu. Tykhyy","cross_cats":["hep-th","math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-11T10:13:45Z","title":"Spin operator matrix elements in the quantum Ising chain: fermion approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2603","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:ad125ca50d5344f3f9d5f2f3f9b79370fbd31970fece78d2b37cb8cab9fa7835","target":"record","created_at":"2026-05-18T04:07:07Z","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":"f3639ca787821f551875455e011b6459817a38cbd85ff579cf5efe1feb9c738e","cross_cats_sorted":["hep-th","math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-11-11T10:13:45Z","title_canon_sha256":"803ab466e4dc1220ae9e150c6171072f21dc86c251f40f37a3b62dcc9f83f523"},"schema_version":"1.0","source":{"id":"1011.2603","kind":"arxiv","version":1}},"canonical_sha256":"5cbfc671133a370c89fee2b4e45aa940f265f9755d469527cec7185e7c8ae126","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cbfc671133a370c89fee2b4e45aa940f265f9755d469527cec7185e7c8ae126","first_computed_at":"2026-05-18T04:07:07.994990Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:07.994990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uxFsLDBn88Tleary3uKltrJS7PNet8SDUArC0pSD5Pk3ydrlM3RZScryhU2zp/WXJPV1u8O1KsHjmOM+2zy5Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:07.995727Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.2603","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad125ca50d5344f3f9d5f2f3f9b79370fbd31970fece78d2b37cb8cab9fa7835","sha256:77cd1eb64bc5d3248e2f586a3b3044cdb8eef5f6f303e265e38b6aed27a9e335"],"state_sha256":"661c7a264774bef59fe23e5f664e61cbc67008e3d5b3d891e0984eff40574e4b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DxD0gWD01aAa6zYMRSuPfKc+mx8bkCh6MOTG0rvi+m1efBTKvLDDMIUNVuMyFwE6fIFKHlS/3DrjpzBC3j3NDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T01:28:59.802420Z","bundle_sha256":"55fbeaa7d14897edb49ee158a5d3da881f3a18e411c2d88a1ef442504745f376"}}