{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:6S7HBWATBT2B4PR3JKO7ACFSHA","short_pith_number":"pith:6S7HBWAT","schema_version":"1.0","canonical_sha256":"f4be70d8130cf41e3e3b4a9df008b2382ba81ca99830cd1261edd4ccaebc617e","source":{"kind":"arxiv","id":"1905.11337","version":1},"attestation_state":"computed","paper":{"title":"Entanglement subvolume law for 2D frustration-free spin systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Anurag Anshu, David Gosset, Itai Arad","submitted_at":"2019-05-27T16:49:28Z","abstract_excerpt":"Let $H$ be a frustration-free Hamiltonian describing a 2D grid of qudits with local interactions, a unique ground state, and local spectral gap lower bounded by a positive constant. For any bipartition defined by a vertical cut of length $L$ running from top to bottom of the grid, we prove that the corresponding entanglement entropy of the ground state of $H$ is upper bounded by $\\tilde{O}(L^{5/3})$. For the special case of a 1D chain, our result provides a new area law which improves upon prior work, in terms of the scaling with qudit dimension and spectral gap. In addition, for any bipartiti"},"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":"1905.11337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-05-27T16:49:28Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"eec111dda5a505e48b1ae97fad2584c56a9a88732c02568e9e4da074608192a5","abstract_canon_sha256":"40beaa8f0819896106df4653621f3ef33fdb7cc0dcf5daa2e03d55cbdccfeb92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:34:43.409836Z","signature_b64":"z0Y/cRLVwAy0VABq1SpVWLpTVSS+ftrJgdnigpc2QAWTl53J6U4l0rl/VDvllHX5b2JfRxYhxv02Ux1PVXRnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4be70d8130cf41e3e3b4a9df008b2382ba81ca99830cd1261edd4ccaebc617e","last_reissued_at":"2026-07-05T04:34:43.409430Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:34:43.409430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement subvolume law for 2D frustration-free spin systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Anurag Anshu, David Gosset, Itai Arad","submitted_at":"2019-05-27T16:49:28Z","abstract_excerpt":"Let $H$ be a frustration-free Hamiltonian describing a 2D grid of qudits with local interactions, a unique ground state, and local spectral gap lower bounded by a positive constant. For any bipartition defined by a vertical cut of length $L$ running from top to bottom of the grid, we prove that the corresponding entanglement entropy of the ground state of $H$ is upper bounded by $\\tilde{O}(L^{5/3})$. For the special case of a 1D chain, our result provides a new area law which improves upon prior work, in terms of the scaling with qudit dimension and spectral gap. In addition, for any bipartiti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11337","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1905.11337/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":"1905.11337","created_at":"2026-07-05T04:34:43.409498+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.11337v1","created_at":"2026-07-05T04:34:43.409498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11337","created_at":"2026-07-05T04:34:43.409498+00:00"},{"alias_kind":"pith_short_12","alias_value":"6S7HBWATBT2B","created_at":"2026-07-05T04:34:43.409498+00:00"},{"alias_kind":"pith_short_16","alias_value":"6S7HBWATBT2B4PR3","created_at":"2026-07-05T04:34:43.409498+00:00"},{"alias_kind":"pith_short_8","alias_value":"6S7HBWAT","created_at":"2026-07-05T04:34:43.409498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.01516","citing_title":"Improved local spectral gap thresholds for lattices of finite dimension","ref_index":1,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6S7HBWATBT2B4PR3JKO7ACFSHA","json":"https://pith.science/pith/6S7HBWATBT2B4PR3JKO7ACFSHA.json","graph_json":"https://pith.science/api/pith-number/6S7HBWATBT2B4PR3JKO7ACFSHA/graph.json","events_json":"https://pith.science/api/pith-number/6S7HBWATBT2B4PR3JKO7ACFSHA/events.json","paper":"https://pith.science/paper/6S7HBWAT"},"agent_actions":{"view_html":"https://pith.science/pith/6S7HBWATBT2B4PR3JKO7ACFSHA","download_json":"https://pith.science/pith/6S7HBWATBT2B4PR3JKO7ACFSHA.json","view_paper":"https://pith.science/paper/6S7HBWAT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.11337&json=true","fetch_graph":"https://pith.science/api/pith-number/6S7HBWATBT2B4PR3JKO7ACFSHA/graph.json","fetch_events":"https://pith.science/api/pith-number/6S7HBWATBT2B4PR3JKO7ACFSHA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6S7HBWATBT2B4PR3JKO7ACFSHA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6S7HBWATBT2B4PR3JKO7ACFSHA/action/storage_attestation","attest_author":"https://pith.science/pith/6S7HBWATBT2B4PR3JKO7ACFSHA/action/author_attestation","sign_citation":"https://pith.science/pith/6S7HBWATBT2B4PR3JKO7ACFSHA/action/citation_signature","submit_replication":"https://pith.science/pith/6S7HBWATBT2B4PR3JKO7ACFSHA/action/replication_record"}},"created_at":"2026-07-05T04:34:43.409498+00:00","updated_at":"2026-07-05T04:34:43.409498+00:00"}