{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:EYXPLQ7CFGBC7ZUKNXG4BQII63","short_pith_number":"pith:EYXPLQ7C","schema_version":"1.0","canonical_sha256":"262ef5c3e229822fe68a6dcdc0c108f6d2bd4db6e8436535df8c3aeab617f67a","source":{"kind":"arxiv","id":"2007.01804","version":3},"attestation_state":"computed","paper":{"title":"Entanglement Hamiltonians for non-critical quantum chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Erik Tonni, Giuseppe Di Giulio, Ingo Peschel, Viktor Eisler","submitted_at":"2020-07-03T16:50:06Z","abstract_excerpt":"We study the entanglement Hamiltonian for finite intervals in infinite quantum chains for two different free-particle systems: coupled harmonic oscillators and fermionic hopping models with dimerization. Working in the ground state, the entanglement Hamiltonian describes again free bosons or fermions and is obtained from the correlation functions via high-precision numerics for up to several hundred sites. Far away from criticality, the dominant on-site and nearest-neighbour terms have triangular profiles that can be understood from the analytical results for a half-infinite interval. Near cri"},"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":"2007.01804","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-07-03T16:50:06Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"736bb67206bc6e62d6600aad534964b2cab38822d37725cad38646bd278d0594","abstract_canon_sha256":"6cb23cd782211d3b80fda499760ccc08b8f226566adbe0d68a8111968fa0ff70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:43:57.954364Z","signature_b64":"WeEUMOnEfYEmlZKG6q3RXxHFJcXesTQlxG0pJ9Vvc2ScJlsFY1oMIsLKOwUqKNGMLM1D9XyQDdDM1IpZEUohBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"262ef5c3e229822fe68a6dcdc0c108f6d2bd4db6e8436535df8c3aeab617f67a","last_reissued_at":"2026-07-05T01:43:57.953906Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:43:57.953906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement Hamiltonians for non-critical quantum chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Erik Tonni, Giuseppe Di Giulio, Ingo Peschel, Viktor Eisler","submitted_at":"2020-07-03T16:50:06Z","abstract_excerpt":"We study the entanglement Hamiltonian for finite intervals in infinite quantum chains for two different free-particle systems: coupled harmonic oscillators and fermionic hopping models with dimerization. Working in the ground state, the entanglement Hamiltonian describes again free bosons or fermions and is obtained from the correlation functions via high-precision numerics for up to several hundred sites. Far away from criticality, the dominant on-site and nearest-neighbour terms have triangular profiles that can be understood from the analytical results for a half-infinite interval. Near cri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.01804","kind":"arxiv","version":3},"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/2007.01804/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":"2007.01804","created_at":"2026-07-05T01:43:57.953963+00:00"},{"alias_kind":"arxiv_version","alias_value":"2007.01804v3","created_at":"2026-07-05T01:43:57.953963+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.01804","created_at":"2026-07-05T01:43:57.953963+00:00"},{"alias_kind":"pith_short_12","alias_value":"EYXPLQ7CFGBC","created_at":"2026-07-05T01:43:57.953963+00:00"},{"alias_kind":"pith_short_16","alias_value":"EYXPLQ7CFGBC7ZUK","created_at":"2026-07-05T01:43:57.953963+00:00"},{"alias_kind":"pith_short_8","alias_value":"EYXPLQ7C","created_at":"2026-07-05T01:43:57.953963+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.09669","citing_title":"Relating the modular Hamiltonian to two-point functions","ref_index":47,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EYXPLQ7CFGBC7ZUKNXG4BQII63","json":"https://pith.science/pith/EYXPLQ7CFGBC7ZUKNXG4BQII63.json","graph_json":"https://pith.science/api/pith-number/EYXPLQ7CFGBC7ZUKNXG4BQII63/graph.json","events_json":"https://pith.science/api/pith-number/EYXPLQ7CFGBC7ZUKNXG4BQII63/events.json","paper":"https://pith.science/paper/EYXPLQ7C"},"agent_actions":{"view_html":"https://pith.science/pith/EYXPLQ7CFGBC7ZUKNXG4BQII63","download_json":"https://pith.science/pith/EYXPLQ7CFGBC7ZUKNXG4BQII63.json","view_paper":"https://pith.science/paper/EYXPLQ7C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2007.01804&json=true","fetch_graph":"https://pith.science/api/pith-number/EYXPLQ7CFGBC7ZUKNXG4BQII63/graph.json","fetch_events":"https://pith.science/api/pith-number/EYXPLQ7CFGBC7ZUKNXG4BQII63/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EYXPLQ7CFGBC7ZUKNXG4BQII63/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EYXPLQ7CFGBC7ZUKNXG4BQII63/action/storage_attestation","attest_author":"https://pith.science/pith/EYXPLQ7CFGBC7ZUKNXG4BQII63/action/author_attestation","sign_citation":"https://pith.science/pith/EYXPLQ7CFGBC7ZUKNXG4BQII63/action/citation_signature","submit_replication":"https://pith.science/pith/EYXPLQ7CFGBC7ZUKNXG4BQII63/action/replication_record"}},"created_at":"2026-07-05T01:43:57.953963+00:00","updated_at":"2026-07-05T01:43:57.953963+00:00"}