{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:ABNENV3KOPEM4DRLC7MLM263VA","short_pith_number":"pith:ABNENV3K","canonical_record":{"source":{"id":"1901.09033","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-01-25T18:59:32Z","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"5dc68b9e8de27a9d15f5949da3c3c044368526c7449eba327678cf92a1adadbe","abstract_canon_sha256":"4dda0de39fe0d2f19dd581f91f398dc591e06919cd1018f8f74ea3ded8616812"},"schema_version":"1.0"},"canonical_sha256":"005a46d76a73c8ce0e2b17d8b66bdba80e2a40e46b0745433c9bd0df315556c2","source":{"kind":"arxiv","id":"1901.09033","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.09033","created_at":"2026-05-17T23:43:27Z"},{"alias_kind":"arxiv_version","alias_value":"1901.09033v1","created_at":"2026-05-17T23:43:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.09033","created_at":"2026-05-17T23:43:27Z"},{"alias_kind":"pith_short_12","alias_value":"ABNENV3KOPEM","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"ABNENV3KOPEM4DRL","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"ABNENV3K","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:ABNENV3KOPEM4DRLC7MLM263VA","target":"record","payload":{"canonical_record":{"source":{"id":"1901.09033","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-01-25T18:59:32Z","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"5dc68b9e8de27a9d15f5949da3c3c044368526c7449eba327678cf92a1adadbe","abstract_canon_sha256":"4dda0de39fe0d2f19dd581f91f398dc591e06919cd1018f8f74ea3ded8616812"},"schema_version":"1.0"},"canonical_sha256":"005a46d76a73c8ce0e2b17d8b66bdba80e2a40e46b0745433c9bd0df315556c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:27.978559Z","signature_b64":"EfBmrkZYvbZXD5PJbr2eNRvYAUD56sjL5yoWYYcz68bFpGce9sCWVHHv+k3IvHOSBkfx8UoO4H9FS7RERwgfAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"005a46d76a73c8ce0e2b17d8b66bdba80e2a40e46b0745433c9bd0df315556c2","last_reissued_at":"2026-05-17T23:43:27.978059Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:27.978059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.09033","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":"2026-05-17T23:43:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1y8gljr9rm1u2nepv9nVvgtNtYzUIaIKfEu+u8Fp6RmJNQJGTHw9ONI0gQTnS+6rhm1BET7KPVunViG5fp/XCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T19:36:48.188482Z"},"content_sha256":"b344b326d9258a034aea2d87f823071404cb57af81d0707dcfa5fe45e5f00973","schema_version":"1.0","event_id":"sha256:b344b326d9258a034aea2d87f823071404cb57af81d0707dcfa5fe45e5f00973"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:ABNENV3KOPEM4DRLC7MLM263VA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement Entropy, Quantum Fluctuations, and Thermal Entropy in Topological Phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Yidun Wan, Yuting Hu","submitted_at":"2019-01-25T18:59:32Z","abstract_excerpt":"Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective of quasiparticle fluctuations. In this picture, the entanglement spectrum of a topologically ordered system is identified with the spectrum of quasiparticle fluctuations of the system, and the entanglement entropy measures the maximal quasiparticle fluctuations on the EB. As a consequence, entanglement entropy corresponds to the thermal entropy of the quasipa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.09033","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":"2026-05-17T23:43:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T2AuHoYcED9QfRcsU4T+jpKXYLn5prmz3wc1Snul2Qtch+4SaBW2wykgz/r9daB5xwJ4fNmQ05zNuLRm9mmYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T19:36:48.189158Z"},"content_sha256":"8dfb6a2874b620e550bdb0017153a9b5153812373083c3f026cfcaa68f9ecdee","schema_version":"1.0","event_id":"sha256:8dfb6a2874b620e550bdb0017153a9b5153812373083c3f026cfcaa68f9ecdee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ABNENV3KOPEM4DRLC7MLM263VA/bundle.json","state_url":"https://pith.science/pith/ABNENV3KOPEM4DRLC7MLM263VA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ABNENV3KOPEM4DRLC7MLM263VA/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":"2026-06-11T19:36:48Z","links":{"resolver":"https://pith.science/pith/ABNENV3KOPEM4DRLC7MLM263VA","bundle":"https://pith.science/pith/ABNENV3KOPEM4DRLC7MLM263VA/bundle.json","state":"https://pith.science/pith/ABNENV3KOPEM4DRLC7MLM263VA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ABNENV3KOPEM4DRLC7MLM263VA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ABNENV3KOPEM4DRLC7MLM263VA","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":"4dda0de39fe0d2f19dd581f91f398dc591e06919cd1018f8f74ea3ded8616812","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-01-25T18:59:32Z","title_canon_sha256":"5dc68b9e8de27a9d15f5949da3c3c044368526c7449eba327678cf92a1adadbe"},"schema_version":"1.0","source":{"id":"1901.09033","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.09033","created_at":"2026-05-17T23:43:27Z"},{"alias_kind":"arxiv_version","alias_value":"1901.09033v1","created_at":"2026-05-17T23:43:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.09033","created_at":"2026-05-17T23:43:27Z"},{"alias_kind":"pith_short_12","alias_value":"ABNENV3KOPEM","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"ABNENV3KOPEM4DRL","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"ABNENV3K","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:8dfb6a2874b620e550bdb0017153a9b5153812373083c3f026cfcaa68f9ecdee","target":"graph","created_at":"2026-05-17T23:43:27Z","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":"Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective of quasiparticle fluctuations. In this picture, the entanglement spectrum of a topologically ordered system is identified with the spectrum of quasiparticle fluctuations of the system, and the entanglement entropy measures the maximal quasiparticle fluctuations on the EB. As a consequence, entanglement entropy corresponds to the thermal entropy of the quasipa","authors_text":"Yidun Wan, Yuting Hu","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-01-25T18:59:32Z","title":"Entanglement Entropy, Quantum Fluctuations, and Thermal Entropy in Topological Phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.09033","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:b344b326d9258a034aea2d87f823071404cb57af81d0707dcfa5fe45e5f00973","target":"record","created_at":"2026-05-17T23:43:27Z","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":"4dda0de39fe0d2f19dd581f91f398dc591e06919cd1018f8f74ea3ded8616812","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-01-25T18:59:32Z","title_canon_sha256":"5dc68b9e8de27a9d15f5949da3c3c044368526c7449eba327678cf92a1adadbe"},"schema_version":"1.0","source":{"id":"1901.09033","kind":"arxiv","version":1}},"canonical_sha256":"005a46d76a73c8ce0e2b17d8b66bdba80e2a40e46b0745433c9bd0df315556c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"005a46d76a73c8ce0e2b17d8b66bdba80e2a40e46b0745433c9bd0df315556c2","first_computed_at":"2026-05-17T23:43:27.978059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:27.978059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EfBmrkZYvbZXD5PJbr2eNRvYAUD56sjL5yoWYYcz68bFpGce9sCWVHHv+k3IvHOSBkfx8UoO4H9FS7RERwgfAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:27.978559Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.09033","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b344b326d9258a034aea2d87f823071404cb57af81d0707dcfa5fe45e5f00973","sha256:8dfb6a2874b620e550bdb0017153a9b5153812373083c3f026cfcaa68f9ecdee"],"state_sha256":"8c0c8472ac94fb0bc51c72683b759fd196987b48648b5eeda18e6d3de9288f46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"loLqBu2LUdhFg3i3TFLqbkevyRq/9QNkyXhV0QuQfvSPAWu97vDPfLLKDSpEcy/a0IdYDJSW+BnV82lvY9F2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T19:36:48.193005Z","bundle_sha256":"9196c07244b19c7affe6aa127dd43b06452df278106ea73ea5863310c0afffe1"}}