{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:5AQ2BYISPK2G5SYV3R7ANB2Q5A","short_pith_number":"pith:5AQ2BYIS","canonical_record":{"source":{"id":"1012.4270","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-20T09:47:32Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e2c56ef9460e58c6dfbebefa0a7819ca539c4523155ee6a286e58fb7c8ffb10c","abstract_canon_sha256":"f08e17b31b07407dcd964076b41a74932881d087d1f38096f32bcffc9c62cf29"},"schema_version":"1.0"},"canonical_sha256":"e821a0e1127ab46ecb15dc7e068750e823a1034e07c3e8a87522f6efc803891b","source":{"kind":"arxiv","id":"1012.4270","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4270","created_at":"2026-05-18T04:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4270v2","created_at":"2026-05-18T04:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4270","created_at":"2026-05-18T04:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"5AQ2BYISPK2G","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5AQ2BYISPK2G5SYV","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5AQ2BYIS","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:5AQ2BYISPK2G5SYV3R7ANB2Q5A","target":"record","payload":{"canonical_record":{"source":{"id":"1012.4270","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-20T09:47:32Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e2c56ef9460e58c6dfbebefa0a7819ca539c4523155ee6a286e58fb7c8ffb10c","abstract_canon_sha256":"f08e17b31b07407dcd964076b41a74932881d087d1f38096f32bcffc9c62cf29"},"schema_version":"1.0"},"canonical_sha256":"e821a0e1127ab46ecb15dc7e068750e823a1034e07c3e8a87522f6efc803891b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:19.292308Z","signature_b64":"05Yn0IkPO6VPQFFfUoWrnIdUUgJak006AJ4ABaOEQ/hcbG+U+wH7d/kLGukdT561ZHdk9Fh1SxhbRgkXTkb+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e821a0e1127ab46ecb15dc7e068750e823a1034e07c3e8a87522f6efc803891b","last_reissued_at":"2026-05-18T04:12:19.291750Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:19.291750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.4270","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":"2026-05-18T04:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cLj/UvbO3TC1Wcd9Mx6RE4fiK5A+MSIdxCGvnd1IQ1OgVMW8aB3q1jqDNb/BxP88ypNqsrkZMpgBR+54YQCrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:03:01.274937Z"},"content_sha256":"91b7d09068d17f3676d32f0fae73e4cf73a7853763140a2e0427cbaecdf45bf1","schema_version":"1.0","event_id":"sha256:91b7d09068d17f3676d32f0fae73e4cf73a7853763140a2e0427cbaecdf45bf1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:5AQ2BYISPK2G5SYV3R7ANB2Q5A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ground state factorization and correlations with broken symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Alioscia Hamma, Bruno Tomasello, Davide Rossini, Luigi Amico","submitted_at":"2010-12-20T09:47:32Z","abstract_excerpt":"We show how the phenomenon of factorization in a quantum many body system is of collective nature. To this aim we study the quantum discord $Q$ in the one dimensional XY model in a transverse field. We analyze the behavior of $Q$ at both the critical point and at the non critical factorizing field. The factorization is found to be governed by an exponential scaling law for $Q$. We also address the thermal effects fanning out from the anomalies occurring at zero temperature. Close to the quantum phase transition, $Q$ exhibits a finite-temperature crossover with universal scaling behavior, while"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4270","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":"2026-05-18T04:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1pACgsc7mN2/MIoLhpDIR48RdCnEz7Fa4cVftjkNEOY40nsnjYWRI47OIOyafThSdtYNuLdqJw5uhnRw6P6RDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:03:01.275576Z"},"content_sha256":"bea43721b4af7bd72becdb156432711b8a15c64652af5ca1b6ac9e709a11a79a","schema_version":"1.0","event_id":"sha256:bea43721b4af7bd72becdb156432711b8a15c64652af5ca1b6ac9e709a11a79a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5AQ2BYISPK2G5SYV3R7ANB2Q5A/bundle.json","state_url":"https://pith.science/pith/5AQ2BYISPK2G5SYV3R7ANB2Q5A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5AQ2BYISPK2G5SYV3R7ANB2Q5A/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":"2026-06-07T05:03:01Z","links":{"resolver":"https://pith.science/pith/5AQ2BYISPK2G5SYV3R7ANB2Q5A","bundle":"https://pith.science/pith/5AQ2BYISPK2G5SYV3R7ANB2Q5A/bundle.json","state":"https://pith.science/pith/5AQ2BYISPK2G5SYV3R7ANB2Q5A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5AQ2BYISPK2G5SYV3R7ANB2Q5A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5AQ2BYISPK2G5SYV3R7ANB2Q5A","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":"f08e17b31b07407dcd964076b41a74932881d087d1f38096f32bcffc9c62cf29","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-20T09:47:32Z","title_canon_sha256":"e2c56ef9460e58c6dfbebefa0a7819ca539c4523155ee6a286e58fb7c8ffb10c"},"schema_version":"1.0","source":{"id":"1012.4270","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4270","created_at":"2026-05-18T04:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4270v2","created_at":"2026-05-18T04:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4270","created_at":"2026-05-18T04:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"5AQ2BYISPK2G","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5AQ2BYISPK2G5SYV","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5AQ2BYIS","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:bea43721b4af7bd72becdb156432711b8a15c64652af5ca1b6ac9e709a11a79a","target":"graph","created_at":"2026-05-18T04:12:19Z","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 show how the phenomenon of factorization in a quantum many body system is of collective nature. To this aim we study the quantum discord $Q$ in the one dimensional XY model in a transverse field. We analyze the behavior of $Q$ at both the critical point and at the non critical factorizing field. The factorization is found to be governed by an exponential scaling law for $Q$. We also address the thermal effects fanning out from the anomalies occurring at zero temperature. Close to the quantum phase transition, $Q$ exhibits a finite-temperature crossover with universal scaling behavior, while","authors_text":"Alioscia Hamma, Bruno Tomasello, Davide Rossini, Luigi Amico","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-20T09:47:32Z","title":"Ground state factorization and correlations with broken symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4270","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":"sha256:91b7d09068d17f3676d32f0fae73e4cf73a7853763140a2e0427cbaecdf45bf1","target":"record","created_at":"2026-05-18T04:12:19Z","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":"f08e17b31b07407dcd964076b41a74932881d087d1f38096f32bcffc9c62cf29","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-20T09:47:32Z","title_canon_sha256":"e2c56ef9460e58c6dfbebefa0a7819ca539c4523155ee6a286e58fb7c8ffb10c"},"schema_version":"1.0","source":{"id":"1012.4270","kind":"arxiv","version":2}},"canonical_sha256":"e821a0e1127ab46ecb15dc7e068750e823a1034e07c3e8a87522f6efc803891b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e821a0e1127ab46ecb15dc7e068750e823a1034e07c3e8a87522f6efc803891b","first_computed_at":"2026-05-18T04:12:19.291750Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:19.291750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"05Yn0IkPO6VPQFFfUoWrnIdUUgJak006AJ4ABaOEQ/hcbG+U+wH7d/kLGukdT561ZHdk9Fh1SxhbRgkXTkb+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:19.292308Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.4270","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91b7d09068d17f3676d32f0fae73e4cf73a7853763140a2e0427cbaecdf45bf1","sha256:bea43721b4af7bd72becdb156432711b8a15c64652af5ca1b6ac9e709a11a79a"],"state_sha256":"e79df5c8f1680131d15f3c15fe30d99d72275bbc647e67c6c1806329de827f53"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NF+yOe6EY5X9DR9Nzmg49N/i/YkuFuVrmqgcICetOpNC8tqffpgUgu6mpWHNnwj/MmfuGL8stwtkU4Uncy5HDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T05:03:01.279567Z","bundle_sha256":"ffe11764ef0c19d24608918de47cc56eb1191af5a7c1fe7ab963553b9768f1e2"}}