{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TCA6L6UVWYX2ZAYNCVUTITH4ZG","short_pith_number":"pith:TCA6L6UV","canonical_record":{"source":{"id":"1302.3383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-14T12:25:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fda19654025073827aa7fc861082dfa037cb985faaf2ceed153b8d9a50e514b7","abstract_canon_sha256":"e209f7de4de911fb8adbcf8dc5490529b4179a2d20fc281ebea0709d4856d784"},"schema_version":"1.0"},"canonical_sha256":"9881e5fa95b62fac830d1569344cfcc9a3620376969ab7b969d6cfb074e7135c","source":{"kind":"arxiv","id":"1302.3383","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3383","created_at":"2026-05-18T03:24:41Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3383v1","created_at":"2026-05-18T03:24:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3383","created_at":"2026-05-18T03:24:41Z"},{"alias_kind":"pith_short_12","alias_value":"TCA6L6UVWYX2","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"TCA6L6UVWYX2ZAYN","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"TCA6L6UV","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TCA6L6UVWYX2ZAYNCVUTITH4ZG","target":"record","payload":{"canonical_record":{"source":{"id":"1302.3383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-14T12:25:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fda19654025073827aa7fc861082dfa037cb985faaf2ceed153b8d9a50e514b7","abstract_canon_sha256":"e209f7de4de911fb8adbcf8dc5490529b4179a2d20fc281ebea0709d4856d784"},"schema_version":"1.0"},"canonical_sha256":"9881e5fa95b62fac830d1569344cfcc9a3620376969ab7b969d6cfb074e7135c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:41.370164Z","signature_b64":"r6FrcT/1YonXlJjnb4Mj3zkcW/GKvlgVy7c31s08OJkzR85OOlLEdU7/Vd1B+jGK/inoyLbBdIKA7/ZIWhdBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9881e5fa95b62fac830d1569344cfcc9a3620376969ab7b969d6cfb074e7135c","last_reissued_at":"2026-05-18T03:24:41.369686Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:41.369686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.3383","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":"2026-05-18T03:24:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CObjzXbntSlldTftri1p2ozsNirhbi5vB7/pWDIc3Dsm9gAKC2TWSnm5hofT5mu3p1EDw526knM1jkKYxgR6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:19:00.328416Z"},"content_sha256":"9d37dbaf0dee009f7af0b90d8c9676c0f358e18943688fa0dcc64035f191bb63","schema_version":"1.0","event_id":"sha256:9d37dbaf0dee009f7af0b90d8c9676c0f358e18943688fa0dcc64035f191bb63"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TCA6L6UVWYX2ZAYNCVUTITH4ZG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropy-Driven Phase Transitions of Entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Giorgio Parisi, Giuseppe Florio, Kazuya Yuasa, Paolo Facchi, Saverio Pascazio","submitted_at":"2013-02-14T12:25:05Z","abstract_excerpt":"We study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at the distribution of the entanglement spectrum, that is the eigenvalues of the reduced density matrix of a quantum system in a pure state. We report the presence of two continuous phase transitions, characterized by different entanglement spectra, which are deformations of classical eigenvalue distributions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3383","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":"2026-05-18T03:24:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J3cpI3AqzoDI675rGMBz/rqPsu3FRZrxLJmp7+Ac7EVVxT6HXgvHCVmWcvwwwczYaOqTzofmLB6dLxdB9YjXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:19:00.328823Z"},"content_sha256":"ae591174349509d592b136ed1496f76b13cbac5ef4a26a5d1aac2bbf03c13a15","schema_version":"1.0","event_id":"sha256:ae591174349509d592b136ed1496f76b13cbac5ef4a26a5d1aac2bbf03c13a15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TCA6L6UVWYX2ZAYNCVUTITH4ZG/bundle.json","state_url":"https://pith.science/pith/TCA6L6UVWYX2ZAYNCVUTITH4ZG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TCA6L6UVWYX2ZAYNCVUTITH4ZG/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":"2026-05-26T12:19:00Z","links":{"resolver":"https://pith.science/pith/TCA6L6UVWYX2ZAYNCVUTITH4ZG","bundle":"https://pith.science/pith/TCA6L6UVWYX2ZAYNCVUTITH4ZG/bundle.json","state":"https://pith.science/pith/TCA6L6UVWYX2ZAYNCVUTITH4ZG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TCA6L6UVWYX2ZAYNCVUTITH4ZG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TCA6L6UVWYX2ZAYNCVUTITH4ZG","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":"e209f7de4de911fb8adbcf8dc5490529b4179a2d20fc281ebea0709d4856d784","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-14T12:25:05Z","title_canon_sha256":"fda19654025073827aa7fc861082dfa037cb985faaf2ceed153b8d9a50e514b7"},"schema_version":"1.0","source":{"id":"1302.3383","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3383","created_at":"2026-05-18T03:24:41Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3383v1","created_at":"2026-05-18T03:24:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3383","created_at":"2026-05-18T03:24:41Z"},{"alias_kind":"pith_short_12","alias_value":"TCA6L6UVWYX2","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"TCA6L6UVWYX2ZAYN","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"TCA6L6UV","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:ae591174349509d592b136ed1496f76b13cbac5ef4a26a5d1aac2bbf03c13a15","target":"graph","created_at":"2026-05-18T03:24:41Z","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 study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at the distribution of the entanglement spectrum, that is the eigenvalues of the reduced density matrix of a quantum system in a pure state. We report the presence of two continuous phase transitions, characterized by different entanglement spectra, which are deformations of classical eigenvalue distributions.","authors_text":"Giorgio Parisi, Giuseppe Florio, Kazuya Yuasa, Paolo Facchi, Saverio Pascazio","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-14T12:25:05Z","title":"Entropy-Driven Phase Transitions of Entanglement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3383","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":"sha256:9d37dbaf0dee009f7af0b90d8c9676c0f358e18943688fa0dcc64035f191bb63","target":"record","created_at":"2026-05-18T03:24:41Z","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":"e209f7de4de911fb8adbcf8dc5490529b4179a2d20fc281ebea0709d4856d784","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-02-14T12:25:05Z","title_canon_sha256":"fda19654025073827aa7fc861082dfa037cb985faaf2ceed153b8d9a50e514b7"},"schema_version":"1.0","source":{"id":"1302.3383","kind":"arxiv","version":1}},"canonical_sha256":"9881e5fa95b62fac830d1569344cfcc9a3620376969ab7b969d6cfb074e7135c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9881e5fa95b62fac830d1569344cfcc9a3620376969ab7b969d6cfb074e7135c","first_computed_at":"2026-05-18T03:24:41.369686Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:41.369686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r6FrcT/1YonXlJjnb4Mj3zkcW/GKvlgVy7c31s08OJkzR85OOlLEdU7/Vd1B+jGK/inoyLbBdIKA7/ZIWhdBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:41.370164Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3383","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d37dbaf0dee009f7af0b90d8c9676c0f358e18943688fa0dcc64035f191bb63","sha256:ae591174349509d592b136ed1496f76b13cbac5ef4a26a5d1aac2bbf03c13a15"],"state_sha256":"65044c0225a68ac7a0467c34234a7259a6179b7d06244e096bc7106609af7498"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lg+NwiOHy0gWqBvfX7OWCBvV41T1OtXXbfVf3Ngul6Ao6ksPQCZtmTCPozYHqd7y15n1U9LZS1kpyJ5+opVCBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:19:00.331862Z","bundle_sha256":"e3e5e9ffd0dea555c5a8eea227051d4b134acdd8a54f21930840feefea719ec6"}}