{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:W3G4PZF4ANFSJJNS74SBC72RGN","short_pith_number":"pith:W3G4PZF4","canonical_record":{"source":{"id":"2108.11973","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-26T18:12:45Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"title_canon_sha256":"1dbc86091d50d61b739d3db46bec284c4a0052395da814d95642fedf7f5f2a1d","abstract_canon_sha256":"99f13644b9dd030b167889bd35fc8bb69e18a8e1ea1b683e313c53d9da07c9d3"},"schema_version":"1.0"},"canonical_sha256":"b6cdc7e4bc034b24a5b2ff24117f51336c5356121d9b1cb7421b8af86a07e5f4","source":{"kind":"arxiv","id":"2108.11973","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.11973","created_at":"2026-07-05T03:14:36Z"},{"alias_kind":"arxiv_version","alias_value":"2108.11973v2","created_at":"2026-07-05T03:14:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.11973","created_at":"2026-07-05T03:14:36Z"},{"alias_kind":"pith_short_12","alias_value":"W3G4PZF4ANFS","created_at":"2026-07-05T03:14:36Z"},{"alias_kind":"pith_short_16","alias_value":"W3G4PZF4ANFSJJNS","created_at":"2026-07-05T03:14:36Z"},{"alias_kind":"pith_short_8","alias_value":"W3G4PZF4","created_at":"2026-07-05T03:14:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:W3G4PZF4ANFSJJNS74SBC72RGN","target":"record","payload":{"canonical_record":{"source":{"id":"2108.11973","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-26T18:12:45Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"title_canon_sha256":"1dbc86091d50d61b739d3db46bec284c4a0052395da814d95642fedf7f5f2a1d","abstract_canon_sha256":"99f13644b9dd030b167889bd35fc8bb69e18a8e1ea1b683e313c53d9da07c9d3"},"schema_version":"1.0"},"canonical_sha256":"b6cdc7e4bc034b24a5b2ff24117f51336c5356121d9b1cb7421b8af86a07e5f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:14:36.191779Z","signature_b64":"ybtMDaSoXnKmBaQA3YTtL7tAb1f5G2KT6/xHmpPMk4anaeIwnho8ZzNxrJkPOE3FjOlKjX88IgbhjjCKBL1BBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6cdc7e4bc034b24a5b2ff24117f51336c5356121d9b1cb7421b8af86a07e5f4","last_reissued_at":"2026-07-05T03:14:36.191368Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:14:36.191368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2108.11973","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":"2026-07-05T03:14:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KMGWeDEjl6B8NPEwDQikHveXYTkjnHU8MrT4kGDsVu2iwIbagC1cZHi0CoibVwBtsNe2b++5aBTO12IsEkNrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:38:35.391642Z"},"content_sha256":"53835a47896527d8228d0fb47f252a13f77e9b60b86ebf2818bd78f7e57c51a7","schema_version":"1.0","event_id":"sha256:53835a47896527d8228d0fb47f252a13f77e9b60b86ebf2818bd78f7e57c51a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:W3G4PZF4ANFSJJNS74SBC72RGN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase transition in von Neumann entanglement entropy from replica symmetry breaking","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Brian Swingle, Shao-Kai Jian","submitted_at":"2021-08-26T18:12:45Z","abstract_excerpt":"We study the entanglement transition in monitored Brownian SYK chains in the large-$N$ limit. Without measurement the steady state $n$-th R\\'enyi entropy is obtained by summing over a class of solutions, and is found to saturate to the Page value in the $n\\rightarrow 1$ limit. In the presence of measurements, the analytical continuation $n\\rightarrow 1$ is performed using the cyclic symmetric solution. The result shows that as the monitoring rate increases, a continuous von Neumann entanglement entropy transition from volume-law to area-law occurs at the point of replica symmetry unbreaking."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.11973","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2108.11973/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:14:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"83vaZKJisOeEORyG2o4Oos7x5xCyK0t7EnRLNUHA+zrhSS1JWUhnD+sPfb0I0Lnp/EEZZUw4+WszLvGa9SLeBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:38:35.392142Z"},"content_sha256":"5ec57dc57f30d9bf556b0b094af7a00b71c3b452adfa1993c9e318219d6cd760","schema_version":"1.0","event_id":"sha256:5ec57dc57f30d9bf556b0b094af7a00b71c3b452adfa1993c9e318219d6cd760"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W3G4PZF4ANFSJJNS74SBC72RGN/bundle.json","state_url":"https://pith.science/pith/W3G4PZF4ANFSJJNS74SBC72RGN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W3G4PZF4ANFSJJNS74SBC72RGN/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":"2026-08-03T22:38:35Z","links":{"resolver":"https://pith.science/pith/W3G4PZF4ANFSJJNS74SBC72RGN","bundle":"https://pith.science/pith/W3G4PZF4ANFSJJNS74SBC72RGN/bundle.json","state":"https://pith.science/pith/W3G4PZF4ANFSJJNS74SBC72RGN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W3G4PZF4ANFSJJNS74SBC72RGN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:W3G4PZF4ANFSJJNS74SBC72RGN","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":"99f13644b9dd030b167889bd35fc8bb69e18a8e1ea1b683e313c53d9da07c9d3","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-26T18:12:45Z","title_canon_sha256":"1dbc86091d50d61b739d3db46bec284c4a0052395da814d95642fedf7f5f2a1d"},"schema_version":"1.0","source":{"id":"2108.11973","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.11973","created_at":"2026-07-05T03:14:36Z"},{"alias_kind":"arxiv_version","alias_value":"2108.11973v2","created_at":"2026-07-05T03:14:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.11973","created_at":"2026-07-05T03:14:36Z"},{"alias_kind":"pith_short_12","alias_value":"W3G4PZF4ANFS","created_at":"2026-07-05T03:14:36Z"},{"alias_kind":"pith_short_16","alias_value":"W3G4PZF4ANFSJJNS","created_at":"2026-07-05T03:14:36Z"},{"alias_kind":"pith_short_8","alias_value":"W3G4PZF4","created_at":"2026-07-05T03:14:36Z"}],"graph_snapshots":[{"event_id":"sha256:5ec57dc57f30d9bf556b0b094af7a00b71c3b452adfa1993c9e318219d6cd760","target":"graph","created_at":"2026-07-05T03:14:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2108.11973/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the entanglement transition in monitored Brownian SYK chains in the large-$N$ limit. Without measurement the steady state $n$-th R\\'enyi entropy is obtained by summing over a class of solutions, and is found to saturate to the Page value in the $n\\rightarrow 1$ limit. In the presence of measurements, the analytical continuation $n\\rightarrow 1$ is performed using the cyclic symmetric solution. The result shows that as the monitoring rate increases, a continuous von Neumann entanglement entropy transition from volume-law to area-law occurs at the point of replica symmetry unbreaking.","authors_text":"Brian Swingle, Shao-Kai Jian","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-26T18:12:45Z","title":"Phase transition in von Neumann entanglement entropy from replica symmetry breaking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.11973","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":"sha256:53835a47896527d8228d0fb47f252a13f77e9b60b86ebf2818bd78f7e57c51a7","target":"record","created_at":"2026-07-05T03:14:36Z","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":"99f13644b9dd030b167889bd35fc8bb69e18a8e1ea1b683e313c53d9da07c9d3","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-08-26T18:12:45Z","title_canon_sha256":"1dbc86091d50d61b739d3db46bec284c4a0052395da814d95642fedf7f5f2a1d"},"schema_version":"1.0","source":{"id":"2108.11973","kind":"arxiv","version":2}},"canonical_sha256":"b6cdc7e4bc034b24a5b2ff24117f51336c5356121d9b1cb7421b8af86a07e5f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6cdc7e4bc034b24a5b2ff24117f51336c5356121d9b1cb7421b8af86a07e5f4","first_computed_at":"2026-07-05T03:14:36.191368Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:14:36.191368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ybtMDaSoXnKmBaQA3YTtL7tAb1f5G2KT6/xHmpPMk4anaeIwnho8ZzNxrJkPOE3FjOlKjX88IgbhjjCKBL1BBw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:14:36.191779Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.11973","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53835a47896527d8228d0fb47f252a13f77e9b60b86ebf2818bd78f7e57c51a7","sha256:5ec57dc57f30d9bf556b0b094af7a00b71c3b452adfa1993c9e318219d6cd760"],"state_sha256":"f7e3e07de5c33e3e781f8f84284a7197ac6b958bab541edfc38fdaa2b9159c6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lHGy07r4m6dqpXRRr61pQGuUq/c05Ld4SNOQIrNL50FTeBCnAyfTxwZphF0FcGuDjf7xoCBk8Z0FhUYx4EOlCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T22:38:35.395700Z","bundle_sha256":"f573b9267388d838b2664eff077d92959265b12b3893a8d4a65ff69cc48c3457"}}