{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:H7S6DK6VQGIBGAHLAK36B3WGDP","short_pith_number":"pith:H7S6DK6V","schema_version":"1.0","canonical_sha256":"3fe5e1abd581901300eb02b7e0eec61bc6fe3e2759cf51454fd09573750d939e","source":{"kind":"arxiv","id":"2502.09894","version":2},"attestation_state":"computed","paper":{"title":"Minimax surfaces and the holographic entropy cone","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Brianna Grado-White, Guglielmo Grimaldi, Matthew Headrick, Veronika E. Hubeny","submitted_at":"2025-02-14T03:47:11Z","abstract_excerpt":"We study and prove properties of the minimax formulation of the HRT holographic entanglement entropy formula, which involves finding the maximal-area surface on a timelike hypersurface, or time-sheet, and then minimizing over the choice of time-sheet. In this formulation, the homology condition is imposed at the level of the spacetime: the homology regions are spacetime volumes rather spatial regions. We show in particular that the smallest minimax homology region is the entanglement wedge. The minimax prescription suggests a way to construct a graph model for time-dependent states, a weighted"},"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":"2502.09894","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-02-14T03:47:11Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7aacc896694480825e0601b263f7b942e30b87f82995a520c0a37e296b0c9fdd","abstract_canon_sha256":"cdacde6113d0672f4147c264b3cf67c80f0331d619f16cb78484010090842767"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:03:21.421792Z","signature_b64":"vmcwdxk0fwKkG++3b6eosSfL4AyUk4qMpNlhmI3C0BkiVEObcej9aFxWsUjDDcasMg+1huCOfE0NcBLZpRk1Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fe5e1abd581901300eb02b7e0eec61bc6fe3e2759cf51454fd09573750d939e","last_reissued_at":"2026-07-05T11:03:21.421287Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:03:21.421287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minimax surfaces and the holographic entropy cone","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Brianna Grado-White, Guglielmo Grimaldi, Matthew Headrick, Veronika E. Hubeny","submitted_at":"2025-02-14T03:47:11Z","abstract_excerpt":"We study and prove properties of the minimax formulation of the HRT holographic entanglement entropy formula, which involves finding the maximal-area surface on a timelike hypersurface, or time-sheet, and then minimizing over the choice of time-sheet. In this formulation, the homology condition is imposed at the level of the spacetime: the homology regions are spacetime volumes rather spatial regions. We show in particular that the smallest minimax homology region is the entanglement wedge. The minimax prescription suggests a way to construct a graph model for time-dependent states, a weighted"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09894","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/2502.09894/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":"2502.09894","created_at":"2026-07-05T11:03:21.421351+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.09894v2","created_at":"2026-07-05T11:03:21.421351+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.09894","created_at":"2026-07-05T11:03:21.421351+00:00"},{"alias_kind":"pith_short_12","alias_value":"H7S6DK6VQGIB","created_at":"2026-07-05T11:03:21.421351+00:00"},{"alias_kind":"pith_short_16","alias_value":"H7S6DK6VQGIBGAHL","created_at":"2026-07-05T11:03:21.421351+00:00"},{"alias_kind":"pith_short_8","alias_value":"H7S6DK6V","created_at":"2026-07-05T11:03:21.421351+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.26617","citing_title":"On a mixed-state extension of the holographic signal inequality","ref_index":20,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/H7S6DK6VQGIBGAHLAK36B3WGDP","json":"https://pith.science/pith/H7S6DK6VQGIBGAHLAK36B3WGDP.json","graph_json":"https://pith.science/api/pith-number/H7S6DK6VQGIBGAHLAK36B3WGDP/graph.json","events_json":"https://pith.science/api/pith-number/H7S6DK6VQGIBGAHLAK36B3WGDP/events.json","paper":"https://pith.science/paper/H7S6DK6V"},"agent_actions":{"view_html":"https://pith.science/pith/H7S6DK6VQGIBGAHLAK36B3WGDP","download_json":"https://pith.science/pith/H7S6DK6VQGIBGAHLAK36B3WGDP.json","view_paper":"https://pith.science/paper/H7S6DK6V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.09894&json=true","fetch_graph":"https://pith.science/api/pith-number/H7S6DK6VQGIBGAHLAK36B3WGDP/graph.json","fetch_events":"https://pith.science/api/pith-number/H7S6DK6VQGIBGAHLAK36B3WGDP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H7S6DK6VQGIBGAHLAK36B3WGDP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H7S6DK6VQGIBGAHLAK36B3WGDP/action/storage_attestation","attest_author":"https://pith.science/pith/H7S6DK6VQGIBGAHLAK36B3WGDP/action/author_attestation","sign_citation":"https://pith.science/pith/H7S6DK6VQGIBGAHLAK36B3WGDP/action/citation_signature","submit_replication":"https://pith.science/pith/H7S6DK6VQGIBGAHLAK36B3WGDP/action/replication_record"}},"created_at":"2026-07-05T11:03:21.421351+00:00","updated_at":"2026-07-05T11:03:21.421351+00:00"}