{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:BA4KQLQ4EMYVAJRCE4CISM7XIO","short_pith_number":"pith:BA4KQLQ4","schema_version":"1.0","canonical_sha256":"0838a82e1c233150262227048933f743b5f5c1ede951b34fe9d539890df2e9ce","source":{"kind":"arxiv","id":"1808.05234","version":2},"attestation_state":"computed","paper":{"title":"Bit Threads and Holographic Monogamy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.DG","quant-ph"],"primary_cat":"hep-th","authors_text":"Bogdan Stoica, Matthew Headrick, Michael Walter, Patrick Hayden, Shawn X. Cui, Temple He","submitted_at":"2018-08-15T18:00:48Z","abstract_excerpt":"Bit threads provide an alternative description of holographic entanglement, replacing the Ryu-Takayanagi minimal surface with bulk curves connecting pairs of boundary points. We use bit threads to prove the monogamy of mutual information (MMI) property of holographic entanglement entropies. This is accomplished using the concept of a so-called multicommodity flow, adapted from the network setting, and tools from the theory of convex optimization. Based on the bit thread picture, we conjecture a general ansatz for a holographic state, involving only bipartite and perfect-tensor type entanglemen"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1808.05234","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-15T18:00:48Z","cross_cats_sorted":["math.CO","math.DG","quant-ph"],"title_canon_sha256":"1ba551b6c112229cb1d7257994941dc9717c7b5fbfcb9c51d31d434b5b76edf0","abstract_canon_sha256":"ab4d5af664be10377c08f33bd6aacabc7ab57f7f3bb611d984fea961026ad56f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:21:47.160133Z","signature_b64":"4PBKyOoVEq+wJ42Hbm8rW51usG4Mc+HPBbMPC0FrgMJ3IKK/Q8xgf43yGjldnSPWD+6kQkby/j1nbQLCDoAwAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0838a82e1c233150262227048933f743b5f5c1ede951b34fe9d539890df2e9ce","last_reissued_at":"2026-07-05T00:21:47.159645Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:21:47.159645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bit Threads and Holographic Monogamy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.DG","quant-ph"],"primary_cat":"hep-th","authors_text":"Bogdan Stoica, Matthew Headrick, Michael Walter, Patrick Hayden, Shawn X. Cui, Temple He","submitted_at":"2018-08-15T18:00:48Z","abstract_excerpt":"Bit threads provide an alternative description of holographic entanglement, replacing the Ryu-Takayanagi minimal surface with bulk curves connecting pairs of boundary points. We use bit threads to prove the monogamy of mutual information (MMI) property of holographic entanglement entropies. This is accomplished using the concept of a so-called multicommodity flow, adapted from the network setting, and tools from the theory of convex optimization. Based on the bit thread picture, we conjecture a general ansatz for a holographic state, involving only bipartite and perfect-tensor type entanglemen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05234","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/1808.05234/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1808.05234","created_at":"2026-07-05T00:21:47.159704+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.05234v2","created_at":"2026-07-05T00:21:47.159704+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05234","created_at":"2026-07-05T00:21:47.159704+00:00"},{"alias_kind":"pith_short_12","alias_value":"BA4KQLQ4EMYV","created_at":"2026-07-05T00:21:47.159704+00:00"},{"alias_kind":"pith_short_16","alias_value":"BA4KQLQ4EMYVAJRC","created_at":"2026-07-05T00:21:47.159704+00:00"},{"alias_kind":"pith_short_8","alias_value":"BA4KQLQ4","created_at":"2026-07-05T00:21:47.159704+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.00210","citing_title":"Constraints on four-party entanglement in holography","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2606.00210","citing_title":"Constraints on four-party entanglement in holography","ref_index":35,"is_internal_anchor":false},{"citing_arxiv_id":"2509.08209","citing_title":"Tripartite Correlation Signal from Multipartite Entanglement of Purification","ref_index":25,"is_internal_anchor":false},{"citing_arxiv_id":"2510.22601","citing_title":"Quantum Bit Threads and the Entropohedron","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2601.19979","citing_title":"Exploring the holographic entropy cone via reinforcement learning","ref_index":24,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BA4KQLQ4EMYVAJRCE4CISM7XIO","json":"https://pith.science/pith/BA4KQLQ4EMYVAJRCE4CISM7XIO.json","graph_json":"https://pith.science/api/pith-number/BA4KQLQ4EMYVAJRCE4CISM7XIO/graph.json","events_json":"https://pith.science/api/pith-number/BA4KQLQ4EMYVAJRCE4CISM7XIO/events.json","paper":"https://pith.science/paper/BA4KQLQ4"},"agent_actions":{"view_html":"https://pith.science/pith/BA4KQLQ4EMYVAJRCE4CISM7XIO","download_json":"https://pith.science/pith/BA4KQLQ4EMYVAJRCE4CISM7XIO.json","view_paper":"https://pith.science/paper/BA4KQLQ4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.05234&json=true","fetch_graph":"https://pith.science/api/pith-number/BA4KQLQ4EMYVAJRCE4CISM7XIO/graph.json","fetch_events":"https://pith.science/api/pith-number/BA4KQLQ4EMYVAJRCE4CISM7XIO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BA4KQLQ4EMYVAJRCE4CISM7XIO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BA4KQLQ4EMYVAJRCE4CISM7XIO/action/storage_attestation","attest_author":"https://pith.science/pith/BA4KQLQ4EMYVAJRCE4CISM7XIO/action/author_attestation","sign_citation":"https://pith.science/pith/BA4KQLQ4EMYVAJRCE4CISM7XIO/action/citation_signature","submit_replication":"https://pith.science/pith/BA4KQLQ4EMYVAJRCE4CISM7XIO/action/replication_record"}},"created_at":"2026-07-05T00:21:47.159704+00:00","updated_at":"2026-07-05T00:21:47.159704+00:00"}