{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LR2THUB7PULJCE6JWEXDM3DUU5","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":"e9ad0fcd8fdeb809c599d68d8deb4f1e50c45666ac758c39f931bffe7ed95eff","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-28T18:46:19Z","title_canon_sha256":"a6c3ef41054a6722a0df600420408ec2d93bb79588bdccc6b80e3af21c585521"},"schema_version":"1.0","source":{"id":"1910.12909","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.12909","created_at":"2026-07-05T03:34:55Z"},{"alias_kind":"arxiv_version","alias_value":"1910.12909v2","created_at":"2026-07-05T03:34:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.12909","created_at":"2026-07-05T03:34:55Z"},{"alias_kind":"pith_short_12","alias_value":"LR2THUB7PULJ","created_at":"2026-07-05T03:34:55Z"},{"alias_kind":"pith_short_16","alias_value":"LR2THUB7PULJCE6J","created_at":"2026-07-05T03:34:55Z"},{"alias_kind":"pith_short_8","alias_value":"LR2THUB7","created_at":"2026-07-05T03:34:55Z"}],"graph_snapshots":[{"event_id":"sha256:4f9d81b6fb3c54fd0be52ebf15cc9f1b5235509241ef6f2881d14848553ae909","target":"graph","created_at":"2026-07-05T03:34:55Z","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/1910.12909/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, an effective {\\it membrane theory} was proposed that describes the ``hydrodynamic'' regime of the entanglement dynamics for general chaotic systems. Motivated by the new {\\it bit threads} formulation of holographic entanglement entropy, given in terms of a convex optimization problem based on flow maximization, or equivalently tight packing of bit threads, we reformulate the membrane theory as a max flow problem by proving a max flow-min cut theorem. In the context of holography, we explain the relation between the max flow program dual to the membrane theory and the max flow program","authors_text":"Cesar A. Ag\\'on, M\\'ark Mezei","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-28T18:46:19Z","title":"Bit Threads and the Membrane Theory of Entanglement Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.12909","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:ffbccedc7a7bfc3b3a757962a1d7f5312952d7640483253140322719e15b5fd4","target":"record","created_at":"2026-07-05T03:34:55Z","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":"e9ad0fcd8fdeb809c599d68d8deb4f1e50c45666ac758c39f931bffe7ed95eff","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-28T18:46:19Z","title_canon_sha256":"a6c3ef41054a6722a0df600420408ec2d93bb79588bdccc6b80e3af21c585521"},"schema_version":"1.0","source":{"id":"1910.12909","kind":"arxiv","version":2}},"canonical_sha256":"5c7533d03f7d169113c9b12e366c74a756449465e9b79fd2bc4eb9dbeffddda9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c7533d03f7d169113c9b12e366c74a756449465e9b79fd2bc4eb9dbeffddda9","first_computed_at":"2026-07-05T03:34:55.651371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:34:55.651371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2L7IaA8vIFIf+goZ+w6d0+4EAX+DktTqukAJl/lkLorhzFQdMY3js5W8k3ahDh8B7lwe4olY3aQVo+u1PMRLAA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:34:55.651878Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.12909","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffbccedc7a7bfc3b3a757962a1d7f5312952d7640483253140322719e15b5fd4","sha256:4f9d81b6fb3c54fd0be52ebf15cc9f1b5235509241ef6f2881d14848553ae909"],"state_sha256":"f49bf11d77dfd09a29cc4c38eb8ecf6bc8e675a2d277971be9ca0f90841e1bb8"}