{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:UJRV5MJPKLPEZGEGH47NQY2LM7","short_pith_number":"pith:UJRV5MJP","canonical_record":{"source":{"id":"1004.3112","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-19T07:32:14Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"23d0379aea6fb369ae3e765522f2e604d4e8b2060fb33c78d4bdabd9761d360f","abstract_canon_sha256":"6693f81400c44342eadb76042f7ff9ecff58565ba13b93b4cc33f1a1fc2a6ee8"},"schema_version":"1.0"},"canonical_sha256":"a2635eb12f52de4c98863f3ed8634b67e0b9fb512229f0800dadb7b52866c526","source":{"kind":"arxiv","id":"1004.3112","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3112","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3112v4","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3112","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"pith_short_12","alias_value":"UJRV5MJPKLPE","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UJRV5MJPKLPEZGEG","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UJRV5MJP","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:UJRV5MJPKLPEZGEGH47NQY2LM7","target":"record","payload":{"canonical_record":{"source":{"id":"1004.3112","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-19T07:32:14Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"23d0379aea6fb369ae3e765522f2e604d4e8b2060fb33c78d4bdabd9761d360f","abstract_canon_sha256":"6693f81400c44342eadb76042f7ff9ecff58565ba13b93b4cc33f1a1fc2a6ee8"},"schema_version":"1.0"},"canonical_sha256":"a2635eb12f52de4c98863f3ed8634b67e0b9fb512229f0800dadb7b52866c526","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:48.825644Z","signature_b64":"2IkZx18X/OFB8loicRfOLi95LeDOT+ekXhno99duXOnhE7hNZTX1Q4fjYEPhq4F+Eazo0D9zwWyrzmXrAeY6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2635eb12f52de4c98863f3ed8634b67e0b9fb512229f0800dadb7b52866c526","last_reissued_at":"2026-05-18T03:23:48.825222Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:48.825222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.3112","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:23:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LTSwXJtpmybp389hlN7MBa7uuKVwGzalRFEaSjrO5qJKkxnCwxRzoYCCRupQHAHXjaNcB1ZybLhTGHpDEHvyAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T10:06:06.718131Z"},"content_sha256":"875f328e1c2be3823dccd30667f4fdade34bcbc2942276a57b12476b7dfcb919","schema_version":"1.0","event_id":"sha256:875f328e1c2be3823dccd30667f4fdade34bcbc2942276a57b12476b7dfcb919"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:UJRV5MJPKLPEZGEGH47NQY2LM7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement entropy in quantum spin chains with broken reflection symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Zoltan Kadar, Zoltan Zimboras","submitted_at":"2010-04-19T07:32:14Z","abstract_excerpt":"We investigate the entanglement entropy of a block of L sites in quasifree translation-invariant spin chains concentrating on the effect of reflection symmetry breaking. The majorana two-point functions corresponding to the Jordan-Wigner transformed fermionic modes are determined in the most general case; from these it follows that reflection symmetry in the ground state can only be broken if the model is quantum critical. The large L asymptotics of the entropy is calculated analytically for general gauge-invariant models, which has, until now, been done only for the reflection symmetric secto"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3112","kind":"arxiv","version":4},"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":"2026-05-18T03:23:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qa3X+JKtm8rw8LG8AAjGL8NZlhMrXGl403DBDiaks7HQxuxsrWZDyYYTQfbaA5PLSYKFcB19nFguP3fhf5LLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T10:06:06.718499Z"},"content_sha256":"b9e6b845f9f15bdd5ef2917a5f0b68c11316e264870002bdc6b3580dc8439d3e","schema_version":"1.0","event_id":"sha256:b9e6b845f9f15bdd5ef2917a5f0b68c11316e264870002bdc6b3580dc8439d3e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UJRV5MJPKLPEZGEGH47NQY2LM7/bundle.json","state_url":"https://pith.science/pith/UJRV5MJPKLPEZGEGH47NQY2LM7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UJRV5MJPKLPEZGEGH47NQY2LM7/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":"2026-06-20T10:06:06Z","links":{"resolver":"https://pith.science/pith/UJRV5MJPKLPEZGEGH47NQY2LM7","bundle":"https://pith.science/pith/UJRV5MJPKLPEZGEGH47NQY2LM7/bundle.json","state":"https://pith.science/pith/UJRV5MJPKLPEZGEGH47NQY2LM7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UJRV5MJPKLPEZGEGH47NQY2LM7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UJRV5MJPKLPEZGEGH47NQY2LM7","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":"6693f81400c44342eadb76042f7ff9ecff58565ba13b93b4cc33f1a1fc2a6ee8","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-19T07:32:14Z","title_canon_sha256":"23d0379aea6fb369ae3e765522f2e604d4e8b2060fb33c78d4bdabd9761d360f"},"schema_version":"1.0","source":{"id":"1004.3112","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3112","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3112v4","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3112","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"pith_short_12","alias_value":"UJRV5MJPKLPE","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UJRV5MJPKLPEZGEG","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UJRV5MJP","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:b9e6b845f9f15bdd5ef2917a5f0b68c11316e264870002bdc6b3580dc8439d3e","target":"graph","created_at":"2026-05-18T03:23:48Z","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 investigate the entanglement entropy of a block of L sites in quasifree translation-invariant spin chains concentrating on the effect of reflection symmetry breaking. The majorana two-point functions corresponding to the Jordan-Wigner transformed fermionic modes are determined in the most general case; from these it follows that reflection symmetry in the ground state can only be broken if the model is quantum critical. The large L asymptotics of the entropy is calculated analytically for general gauge-invariant models, which has, until now, been done only for the reflection symmetric secto","authors_text":"Zoltan Kadar, Zoltan Zimboras","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-19T07:32:14Z","title":"Entanglement entropy in quantum spin chains with broken reflection symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3112","kind":"arxiv","version":4},"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":"sha256:875f328e1c2be3823dccd30667f4fdade34bcbc2942276a57b12476b7dfcb919","target":"record","created_at":"2026-05-18T03:23:48Z","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":"6693f81400c44342eadb76042f7ff9ecff58565ba13b93b4cc33f1a1fc2a6ee8","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-04-19T07:32:14Z","title_canon_sha256":"23d0379aea6fb369ae3e765522f2e604d4e8b2060fb33c78d4bdabd9761d360f"},"schema_version":"1.0","source":{"id":"1004.3112","kind":"arxiv","version":4}},"canonical_sha256":"a2635eb12f52de4c98863f3ed8634b67e0b9fb512229f0800dadb7b52866c526","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2635eb12f52de4c98863f3ed8634b67e0b9fb512229f0800dadb7b52866c526","first_computed_at":"2026-05-18T03:23:48.825222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:48.825222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2IkZx18X/OFB8loicRfOLi95LeDOT+ekXhno99duXOnhE7hNZTX1Q4fjYEPhq4F+Eazo0D9zwWyrzmXrAeY6BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:48.825644Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.3112","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:875f328e1c2be3823dccd30667f4fdade34bcbc2942276a57b12476b7dfcb919","sha256:b9e6b845f9f15bdd5ef2917a5f0b68c11316e264870002bdc6b3580dc8439d3e"],"state_sha256":"c966a3d7514ed0e7461d2b9104d8dd4169ac939cac59d145acef74ca8dd2ca0f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oSstiUuCWRXHyEcuSL3Y0drAoNM0vLY0uvi/OEVsaaA1pRkUUV7+gZfRjF6PqvMcNC0QDreCOh6BnHbC4FLNCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T10:06:06.720470Z","bundle_sha256":"40ac0102d95777ec2f9ab93f08af4bc6d846ad158b47fca4ef78fb26f7cfaa28"}}