{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SS7Q7KIW4NODCRAZHCQSPPTMRO","short_pith_number":"pith:SS7Q7KIW","canonical_record":{"source":{"id":"1002.0825","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-03T19:44:08Z","cross_cats_sorted":["cond-mat.other","quant-ph"],"title_canon_sha256":"6ab4c25309608ced05fcd23a5c31aa800f0968e7f796a0165e3b00f26d836f60","abstract_canon_sha256":"e3180cc21cbdc76a7083e0d31a09ece40c5cbebf8c109a44de147fee8b9461ae"},"schema_version":"1.0"},"canonical_sha256":"94bf0fa916e35c31441938a127be6c8b8f1a2ae31a3912e77ffa907c364a3829","source":{"kind":"arxiv","id":"1002.0825","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0825","created_at":"2026-05-18T03:23:49Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0825v2","created_at":"2026-05-18T03:23:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0825","created_at":"2026-05-18T03:23:49Z"},{"alias_kind":"pith_short_12","alias_value":"SS7Q7KIW4NOD","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SS7Q7KIW4NODCRAZ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SS7Q7KIW","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SS7Q7KIW4NODCRAZHCQSPPTMRO","target":"record","payload":{"canonical_record":{"source":{"id":"1002.0825","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-03T19:44:08Z","cross_cats_sorted":["cond-mat.other","quant-ph"],"title_canon_sha256":"6ab4c25309608ced05fcd23a5c31aa800f0968e7f796a0165e3b00f26d836f60","abstract_canon_sha256":"e3180cc21cbdc76a7083e0d31a09ece40c5cbebf8c109a44de147fee8b9461ae"},"schema_version":"1.0"},"canonical_sha256":"94bf0fa916e35c31441938a127be6c8b8f1a2ae31a3912e77ffa907c364a3829","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:49.334623Z","signature_b64":"4/kyibUAoUZc+CeFQJe63F3ck7cZV4oGgisJXRJFonhb3+Zf0S1Sw3m00qCeT/23Ztu4My5jOcZmZxwT+7u5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94bf0fa916e35c31441938a127be6c8b8f1a2ae31a3912e77ffa907c364a3829","last_reissued_at":"2026-05-18T03:23:49.333911Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:49.333911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.0825","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":"2026-05-18T03:23:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TgKvfpBnf/Rd9LiU9E39ol+Tuc+dC5s5xkL3cjBmFnUGO0yTew/v2No55oFnkiD8Tto8FhLiWlKAlWs0wFwWCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T19:56:09.599265Z"},"content_sha256":"fc6918a09bee6583d6fced2fb8a17cf406f864beb619be6da55be4825869c927","schema_version":"1.0","event_id":"sha256:fc6918a09bee6583d6fced2fb8a17cf406f864beb619be6da55be4825869c927"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SS7Q7KIW4NODCRAZHCQSPPTMRO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"General Relation between Entanglement and Fluctuations in One Dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"H. Francis Song, Karyn Le Hur, Stephan Rachel","submitted_at":"2010-02-03T19:44:08Z","abstract_excerpt":"In one dimension very general results from conformal field theory and exact calculations for certain quantum spin systems have established universal scaling properties of the entanglement entropy between two parts of a critical system. Using both analytical and numerical methods, we show that if particle number or spin is conserved, fluctuations in a subsystem obey identical scaling as a function of subsystem size, suggesting that fluctuations are a useful quantity for determining the scaling of entanglement, especially in higher dimensions. We investigate the effects of boundaries and sublead"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0825","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":"2026-05-18T03:23:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1z2Jy45C5VGJsvQA2Rxi3OlhZ4qhEJ2VYYrFh8p7bKNfetRFkzHhYkS8/MMeDNHHxYY5NwLuJHJGLnK2mGRCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T19:56:09.599621Z"},"content_sha256":"7d0eed7b03e9e09cf93161f268852e9e23a009a6cdaaa712404382d01c78c1f5","schema_version":"1.0","event_id":"sha256:7d0eed7b03e9e09cf93161f268852e9e23a009a6cdaaa712404382d01c78c1f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SS7Q7KIW4NODCRAZHCQSPPTMRO/bundle.json","state_url":"https://pith.science/pith/SS7Q7KIW4NODCRAZHCQSPPTMRO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SS7Q7KIW4NODCRAZHCQSPPTMRO/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":"2026-05-19T19:56:09Z","links":{"resolver":"https://pith.science/pith/SS7Q7KIW4NODCRAZHCQSPPTMRO","bundle":"https://pith.science/pith/SS7Q7KIW4NODCRAZHCQSPPTMRO/bundle.json","state":"https://pith.science/pith/SS7Q7KIW4NODCRAZHCQSPPTMRO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SS7Q7KIW4NODCRAZHCQSPPTMRO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SS7Q7KIW4NODCRAZHCQSPPTMRO","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":"e3180cc21cbdc76a7083e0d31a09ece40c5cbebf8c109a44de147fee8b9461ae","cross_cats_sorted":["cond-mat.other","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-03T19:44:08Z","title_canon_sha256":"6ab4c25309608ced05fcd23a5c31aa800f0968e7f796a0165e3b00f26d836f60"},"schema_version":"1.0","source":{"id":"1002.0825","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0825","created_at":"2026-05-18T03:23:49Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0825v2","created_at":"2026-05-18T03:23:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0825","created_at":"2026-05-18T03:23:49Z"},{"alias_kind":"pith_short_12","alias_value":"SS7Q7KIW4NOD","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SS7Q7KIW4NODCRAZ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SS7Q7KIW","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:7d0eed7b03e9e09cf93161f268852e9e23a009a6cdaaa712404382d01c78c1f5","target":"graph","created_at":"2026-05-18T03:23:49Z","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":"In one dimension very general results from conformal field theory and exact calculations for certain quantum spin systems have established universal scaling properties of the entanglement entropy between two parts of a critical system. Using both analytical and numerical methods, we show that if particle number or spin is conserved, fluctuations in a subsystem obey identical scaling as a function of subsystem size, suggesting that fluctuations are a useful quantity for determining the scaling of entanglement, especially in higher dimensions. We investigate the effects of boundaries and sublead","authors_text":"H. Francis Song, Karyn Le Hur, Stephan Rachel","cross_cats":["cond-mat.other","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-03T19:44:08Z","title":"General Relation between Entanglement and Fluctuations in One Dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0825","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:fc6918a09bee6583d6fced2fb8a17cf406f864beb619be6da55be4825869c927","target":"record","created_at":"2026-05-18T03:23:49Z","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":"e3180cc21cbdc76a7083e0d31a09ece40c5cbebf8c109a44de147fee8b9461ae","cross_cats_sorted":["cond-mat.other","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-03T19:44:08Z","title_canon_sha256":"6ab4c25309608ced05fcd23a5c31aa800f0968e7f796a0165e3b00f26d836f60"},"schema_version":"1.0","source":{"id":"1002.0825","kind":"arxiv","version":2}},"canonical_sha256":"94bf0fa916e35c31441938a127be6c8b8f1a2ae31a3912e77ffa907c364a3829","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94bf0fa916e35c31441938a127be6c8b8f1a2ae31a3912e77ffa907c364a3829","first_computed_at":"2026-05-18T03:23:49.333911Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:49.333911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4/kyibUAoUZc+CeFQJe63F3ck7cZV4oGgisJXRJFonhb3+Zf0S1Sw3m00qCeT/23Ztu4My5jOcZmZxwT+7u5Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:49.334623Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.0825","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc6918a09bee6583d6fced2fb8a17cf406f864beb619be6da55be4825869c927","sha256:7d0eed7b03e9e09cf93161f268852e9e23a009a6cdaaa712404382d01c78c1f5"],"state_sha256":"92c0878cf2388ad4e091ee05a886ceb4e24c36ad0a4ab755a7dfb361131d6cc4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rD9M52/KK5BjsYCMnKWrdlZ5Rc3yf0A9dd7wlyR0nreSpiQ8YoczqkVshxE8u94Y4sgVzve678thqkLU0dffDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T19:56:09.601593Z","bundle_sha256":"37e2b3e34ae552b7ebad7bac4ae8465b7a5b1e897b95b8d30b0668b9bbbb27ef"}}