{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:LIZAV26S5MUK6XKGQJWJDI632H","short_pith_number":"pith:LIZAV26S","canonical_record":{"source":{"id":"1501.01315","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-06T21:00:32Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9a8320e29ba8aa72e45603789ad9badee2a6b2f3da58bbe7422979980bee3d78","abstract_canon_sha256":"f1c25161c57492966b9ec3c5b6afbcc0e966eedb240b8b98ddf9ed4f3a2e1618"},"schema_version":"1.0"},"canonical_sha256":"5a320aebd2eb28af5d46826c91a3dbd1df2210b85749e3411febc3cad787a9ca","source":{"kind":"arxiv","id":"1501.01315","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01315","created_at":"2026-05-18T01:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01315v4","created_at":"2026-05-18T01:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01315","created_at":"2026-05-18T01:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"LIZAV26S5MUK","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LIZAV26S5MUK6XKG","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LIZAV26S","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:LIZAV26S5MUK6XKGQJWJDI632H","target":"record","payload":{"canonical_record":{"source":{"id":"1501.01315","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-06T21:00:32Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"9a8320e29ba8aa72e45603789ad9badee2a6b2f3da58bbe7422979980bee3d78","abstract_canon_sha256":"f1c25161c57492966b9ec3c5b6afbcc0e966eedb240b8b98ddf9ed4f3a2e1618"},"schema_version":"1.0"},"canonical_sha256":"5a320aebd2eb28af5d46826c91a3dbd1df2210b85749e3411febc3cad787a9ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:53.956067Z","signature_b64":"yVVlZgGSI2DdoFhvtxUyZonY+ovVfISqkqNrzjYzoLC3hAzaW1F9RyO9QI82fI0Vz1dFRqERhap8EqQqtk3/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a320aebd2eb28af5d46826c91a3dbd1df2210b85749e3411febc3cad787a9ca","last_reissued_at":"2026-05-18T01:38:53.955509Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:53.955509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.01315","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fTiGEEMp3LPn0AtUnHd+aHA7px8qRfcJ/G6DzTwZqUIUpXfio0oxi++PQPROyNOXWTY4czfhhqMT3d+AXvJ0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:35:53.454927Z"},"content_sha256":"a7c8cc3852168d3c3f04938ea667717d43573290c033166aedfdb13ff7ee97ae","schema_version":"1.0","event_id":"sha256:a7c8cc3852168d3c3f04938ea667717d43573290c033166aedfdb13ff7ee97ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:LIZAV26S5MUK6XKGQJWJDI632H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermalization of entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"David A. Huse, Hyungwon Kim, Liangsheng Zhang","submitted_at":"2015-01-06T21:00:32Z","abstract_excerpt":"We explore the dynamics of the entanglement entropy near equilibrium in highly-entangled pure states of two quantum-chaotic spin chains undergoing unitary time evolution. We examine the relaxation to equilibrium from initial states with either less or more entanglement entropy than the equilibrium value, as well as the dynamics of the spontaneous fluctuations of the entanglement that occur in equilibrium. For the spin chain with a time-independent Hamiltonian and thus an extensive conserved energy, we find slow relaxation of the entanglement entropy near equilibration. Such slow relaxation is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01315","kind":"arxiv","version":4},"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":"2026-05-18T01:38:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"liqUFZnNNbLn2rTap45Cbmi8FKw7iYVF1HTdJ7Mhtan8glxeDW9axs9QS2QO6Y5YvUUeujagS3uxkNqn3JbvCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:35:53.455267Z"},"content_sha256":"74e1421eb22213744da8cba41a6483cb877df62118cb9fb5a3fda25fbf6ef73d","schema_version":"1.0","event_id":"sha256:74e1421eb22213744da8cba41a6483cb877df62118cb9fb5a3fda25fbf6ef73d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LIZAV26S5MUK6XKGQJWJDI632H/bundle.json","state_url":"https://pith.science/pith/LIZAV26S5MUK6XKGQJWJDI632H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LIZAV26S5MUK6XKGQJWJDI632H/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":"2026-06-26T13:35:53Z","links":{"resolver":"https://pith.science/pith/LIZAV26S5MUK6XKGQJWJDI632H","bundle":"https://pith.science/pith/LIZAV26S5MUK6XKGQJWJDI632H/bundle.json","state":"https://pith.science/pith/LIZAV26S5MUK6XKGQJWJDI632H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LIZAV26S5MUK6XKGQJWJDI632H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LIZAV26S5MUK6XKGQJWJDI632H","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":"f1c25161c57492966b9ec3c5b6afbcc0e966eedb240b8b98ddf9ed4f3a2e1618","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-06T21:00:32Z","title_canon_sha256":"9a8320e29ba8aa72e45603789ad9badee2a6b2f3da58bbe7422979980bee3d78"},"schema_version":"1.0","source":{"id":"1501.01315","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01315","created_at":"2026-05-18T01:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01315v4","created_at":"2026-05-18T01:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01315","created_at":"2026-05-18T01:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"LIZAV26S5MUK","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LIZAV26S5MUK6XKG","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LIZAV26S","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:74e1421eb22213744da8cba41a6483cb877df62118cb9fb5a3fda25fbf6ef73d","target":"graph","created_at":"2026-05-18T01:38:53Z","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 explore the dynamics of the entanglement entropy near equilibrium in highly-entangled pure states of two quantum-chaotic spin chains undergoing unitary time evolution. We examine the relaxation to equilibrium from initial states with either less or more entanglement entropy than the equilibrium value, as well as the dynamics of the spontaneous fluctuations of the entanglement that occur in equilibrium. For the spin chain with a time-independent Hamiltonian and thus an extensive conserved energy, we find slow relaxation of the entanglement entropy near equilibration. Such slow relaxation is ","authors_text":"David A. Huse, Hyungwon Kim, Liangsheng Zhang","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-06T21:00:32Z","title":"Thermalization of entanglement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01315","kind":"arxiv","version":4},"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:a7c8cc3852168d3c3f04938ea667717d43573290c033166aedfdb13ff7ee97ae","target":"record","created_at":"2026-05-18T01:38:53Z","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":"f1c25161c57492966b9ec3c5b6afbcc0e966eedb240b8b98ddf9ed4f3a2e1618","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-06T21:00:32Z","title_canon_sha256":"9a8320e29ba8aa72e45603789ad9badee2a6b2f3da58bbe7422979980bee3d78"},"schema_version":"1.0","source":{"id":"1501.01315","kind":"arxiv","version":4}},"canonical_sha256":"5a320aebd2eb28af5d46826c91a3dbd1df2210b85749e3411febc3cad787a9ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a320aebd2eb28af5d46826c91a3dbd1df2210b85749e3411febc3cad787a9ca","first_computed_at":"2026-05-18T01:38:53.955509Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:53.955509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yVVlZgGSI2DdoFhvtxUyZonY+ovVfISqkqNrzjYzoLC3hAzaW1F9RyO9QI82fI0Vz1dFRqERhap8EqQqtk3/Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:53.956067Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01315","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7c8cc3852168d3c3f04938ea667717d43573290c033166aedfdb13ff7ee97ae","sha256:74e1421eb22213744da8cba41a6483cb877df62118cb9fb5a3fda25fbf6ef73d"],"state_sha256":"3aa7d67a126bb0b9d364bbc5a15d1f76cdf748323ef3f7f2f9cad9c057488c43"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X3w/OI4cH5EWZkrP7UF79sfq1IEFNeAtNGhkkWB7lhuoDE5625V8WiCo/P545KmiL1J7RIILssEcjOanQpdUDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T13:35:53.457146Z","bundle_sha256":"35e26292ae4ef9e23affa26589d79fa5f8096293a676e7bba6e81247fbc54209"}}