{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:Y3J3OEOPYDJ45MPMLUDV6HZIIH","short_pith_number":"pith:Y3J3OEOP","canonical_record":{"source":{"id":"1803.00089","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-28T21:09:28Z","cross_cats_sorted":["cond-mat.str-el","hep-th","nlin.CD","quant-ph"],"title_canon_sha256":"3a6e3f4b1201027d3c1be1f8b274eb2e21743798ba682c32d4c97f95723243ed","abstract_canon_sha256":"d80e23414bc6c8ce57c7c3ebbf8055a8efeca478e38548b1bcfe97fa0fb09380"},"schema_version":"1.0"},"canonical_sha256":"c6d3b711cfc0d3ceb1ec5d075f1f2841facfa1f5fbb14533d1c4f8ed28a43a06","source":{"kind":"arxiv","id":"1803.00089","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00089","created_at":"2026-05-18T00:22:13Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00089v1","created_at":"2026-05-18T00:22:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00089","created_at":"2026-05-18T00:22:13Z"},{"alias_kind":"pith_short_12","alias_value":"Y3J3OEOPYDJ4","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Y3J3OEOPYDJ45MPM","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Y3J3OEOP","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:Y3J3OEOPYDJ45MPMLUDV6HZIIH","target":"record","payload":{"canonical_record":{"source":{"id":"1803.00089","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-28T21:09:28Z","cross_cats_sorted":["cond-mat.str-el","hep-th","nlin.CD","quant-ph"],"title_canon_sha256":"3a6e3f4b1201027d3c1be1f8b274eb2e21743798ba682c32d4c97f95723243ed","abstract_canon_sha256":"d80e23414bc6c8ce57c7c3ebbf8055a8efeca478e38548b1bcfe97fa0fb09380"},"schema_version":"1.0"},"canonical_sha256":"c6d3b711cfc0d3ceb1ec5d075f1f2841facfa1f5fbb14533d1c4f8ed28a43a06","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:13.378997Z","signature_b64":"RFP1Db+lezc5TS0ZJhDCZ3RZtHbbK12sWASaW5BlOGgpJR/bxQNg+5NU28zeLVJvZ4Y/uCr0HQzRIHObAwQlCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6d3b711cfc0d3ceb1ec5d075f1f2841facfa1f5fbb14533d1c4f8ed28a43a06","last_reissued_at":"2026-05-18T00:22:13.378442Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:13.378442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.00089","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":"2026-05-18T00:22:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H8SDiuSKKkZH2O24J/0b9Ujz9jOgJNgK56R9NsbR406q/hHk3GuAw+k4BrF7QPAqJ4+BD9Au5dWu2oo3hYTXDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:07:08.597423Z"},"content_sha256":"ee7452bca9bf7df1154d424a69830c69c8f517d492cc289c2544b492935cdab9","schema_version":"1.0","event_id":"sha256:ee7452bca9bf7df1154d424a69830c69c8f517d492cc289c2544b492935cdab9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:Y3J3OEOPYDJ45MPMLUDV6HZIIH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coarse-grained dynamics of operator and state entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","nlin.CD","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Adam Nahum, Cheryne Jonay, David A. Huse","submitted_at":"2018-02-28T21:09:28Z","abstract_excerpt":"We give a detailed theory for the leading coarse-grained dynamics of entanglement entropy of states and of operators in generic short-range interacting quantum many-body systems. This includes operators spreading under Heisenberg time evolution, which we find are much less entangled than \"typical\" operators of the same spatial support. Extending previous conjectures based on random circuit dynamics, we provide evidence that the leading-order entanglement dynamics of a given chaotic system are determined by a function $\\mathcal{E}(v)$, which is model-dependent, but which we argue satisfies cert"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00089","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":"2026-05-18T00:22:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7WInKIvXcO5qkk0W5ZGi1+70XY2fhWaYNY2hWwDi+r/L6C71jC/kM/w9qmx1V8xKboN9W82nOnOpK5moBcS/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T08:07:08.598041Z"},"content_sha256":"2c01f6c139e79b65cd6dcba94b5f9a3d54febb6ca595481ade3f3639c6a6f37a","schema_version":"1.0","event_id":"sha256:2c01f6c139e79b65cd6dcba94b5f9a3d54febb6ca595481ade3f3639c6a6f37a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y3J3OEOPYDJ45MPMLUDV6HZIIH/bundle.json","state_url":"https://pith.science/pith/Y3J3OEOPYDJ45MPMLUDV6HZIIH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y3J3OEOPYDJ45MPMLUDV6HZIIH/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":"2026-06-10T08:07:08Z","links":{"resolver":"https://pith.science/pith/Y3J3OEOPYDJ45MPMLUDV6HZIIH","bundle":"https://pith.science/pith/Y3J3OEOPYDJ45MPMLUDV6HZIIH/bundle.json","state":"https://pith.science/pith/Y3J3OEOPYDJ45MPMLUDV6HZIIH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y3J3OEOPYDJ45MPMLUDV6HZIIH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Y3J3OEOPYDJ45MPMLUDV6HZIIH","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":"d80e23414bc6c8ce57c7c3ebbf8055a8efeca478e38548b1bcfe97fa0fb09380","cross_cats_sorted":["cond-mat.str-el","hep-th","nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-28T21:09:28Z","title_canon_sha256":"3a6e3f4b1201027d3c1be1f8b274eb2e21743798ba682c32d4c97f95723243ed"},"schema_version":"1.0","source":{"id":"1803.00089","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00089","created_at":"2026-05-18T00:22:13Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00089v1","created_at":"2026-05-18T00:22:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00089","created_at":"2026-05-18T00:22:13Z"},{"alias_kind":"pith_short_12","alias_value":"Y3J3OEOPYDJ4","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Y3J3OEOPYDJ45MPM","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Y3J3OEOP","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:2c01f6c139e79b65cd6dcba94b5f9a3d54febb6ca595481ade3f3639c6a6f37a","target":"graph","created_at":"2026-05-18T00:22:13Z","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 give a detailed theory for the leading coarse-grained dynamics of entanglement entropy of states and of operators in generic short-range interacting quantum many-body systems. This includes operators spreading under Heisenberg time evolution, which we find are much less entangled than \"typical\" operators of the same spatial support. Extending previous conjectures based on random circuit dynamics, we provide evidence that the leading-order entanglement dynamics of a given chaotic system are determined by a function $\\mathcal{E}(v)$, which is model-dependent, but which we argue satisfies cert","authors_text":"Adam Nahum, Cheryne Jonay, David A. Huse","cross_cats":["cond-mat.str-el","hep-th","nlin.CD","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-28T21:09:28Z","title":"Coarse-grained dynamics of operator and state entanglement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00089","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:ee7452bca9bf7df1154d424a69830c69c8f517d492cc289c2544b492935cdab9","target":"record","created_at":"2026-05-18T00:22:13Z","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":"d80e23414bc6c8ce57c7c3ebbf8055a8efeca478e38548b1bcfe97fa0fb09380","cross_cats_sorted":["cond-mat.str-el","hep-th","nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-02-28T21:09:28Z","title_canon_sha256":"3a6e3f4b1201027d3c1be1f8b274eb2e21743798ba682c32d4c97f95723243ed"},"schema_version":"1.0","source":{"id":"1803.00089","kind":"arxiv","version":1}},"canonical_sha256":"c6d3b711cfc0d3ceb1ec5d075f1f2841facfa1f5fbb14533d1c4f8ed28a43a06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6d3b711cfc0d3ceb1ec5d075f1f2841facfa1f5fbb14533d1c4f8ed28a43a06","first_computed_at":"2026-05-18T00:22:13.378442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:13.378442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RFP1Db+lezc5TS0ZJhDCZ3RZtHbbK12sWASaW5BlOGgpJR/bxQNg+5NU28zeLVJvZ4Y/uCr0HQzRIHObAwQlCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:13.378997Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.00089","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee7452bca9bf7df1154d424a69830c69c8f517d492cc289c2544b492935cdab9","sha256:2c01f6c139e79b65cd6dcba94b5f9a3d54febb6ca595481ade3f3639c6a6f37a"],"state_sha256":"599a8840b1589a1b93a6e7fcf643c893ad6876963a7a680692c693f5dd822cd7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IFzH0HNLW3vldn4Dq63urSaUgqwX8mQqpEs2dZCmqZEabS9LWPq1f1nRBm46THqhE7LbPhUyXNVLDjgmZr5+Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T08:07:08.602239Z","bundle_sha256":"ff13cc0061748c53b27bce61e56f8e793dc4b8a22ff5f6e5633b18bc22d62532"}}