{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:6E3ERUYBFK4FN2JEESK4RVKF2S","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":"e7aa02ad70d94ab4174d9583e51e44cf428034b8c551369acb38ca3a8dc95e82","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-06-13T22:40:39Z","title_canon_sha256":"19657a159d6e55a93db5ff75a9a3ced1a7364a92a86bca1ea5cc4d0e20d1457c"},"schema_version":"1.0","source":{"id":"2206.06509","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.06509","created_at":"2026-07-05T06:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"2206.06509v3","created_at":"2026-07-05T06:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.06509","created_at":"2026-07-05T06:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"6E3ERUYBFK4F","created_at":"2026-07-05T06:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6E3ERUYBFK4FN2JE","created_at":"2026-07-05T06:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6E3ERUYB","created_at":"2026-07-05T06:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:2e9c8f983d43a915905256b96c0cc5722f0bd85c889fa75554ce9c7b1074e5ce","target":"graph","created_at":"2026-07-05T06:30:01Z","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/2206.06509/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce an inhomogeneous model of free fermions on a $(D-1)$-dimensional lattice with $D(D-1)/2$ continuous parameters that control the hopping strength between adjacent sites. We solve this model exactly, and find that the eigenfunctions are given by multidimensional generalizations of Krawtchouk polynomials. We construct a Heun operator that commutes with the chopped correlation matrix, and compute the entanglement entropy numerically for $D=2,3,4$, for a wide range of parameters. For $D=2$, we observe oscillations in the sub-leading contribution to the entanglement entropy, for which w","authors_text":"Gilles Parez, Lo\\\"ic Poulain d'Andecy, Luc Vinet, Nicolas Cramp\\'e, Pierre-Antoine Bernard, Rafael I. Nepomechie","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-06-13T22:40:39Z","title":"Entanglement of inhomogeneous free fermions on hyperplane lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.06509","kind":"arxiv","version":3},"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":"sha256:34b6cdfc3552b06bf6f5aeb47d66503adfb7460266da2a6185df200d9f441b47","target":"record","created_at":"2026-07-05T06:30:01Z","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":"e7aa02ad70d94ab4174d9583e51e44cf428034b8c551369acb38ca3a8dc95e82","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2022-06-13T22:40:39Z","title_canon_sha256":"19657a159d6e55a93db5ff75a9a3ced1a7364a92a86bca1ea5cc4d0e20d1457c"},"schema_version":"1.0","source":{"id":"2206.06509","kind":"arxiv","version":3}},"canonical_sha256":"f13648d3012ab856e9242495c8d545d4bc8fd3bf773ae24578c32b9051eab627","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f13648d3012ab856e9242495c8d545d4bc8fd3bf773ae24578c32b9051eab627","first_computed_at":"2026-07-05T06:30:01.446623Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:30:01.446623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kpd3+/LmU9Bq11/yfE0tVNNQIl4G22VJkKA5rqweGnY9F/di+V7fdDmGvw22phvKJlzZb6Sjeyvza97XVHCEAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:30:01.447739Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.06509","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34b6cdfc3552b06bf6f5aeb47d66503adfb7460266da2a6185df200d9f441b47","sha256:2e9c8f983d43a915905256b96c0cc5722f0bd85c889fa75554ce9c7b1074e5ce"],"state_sha256":"5e78790c485408d7822df433b016ff233d728b3618d05f070ee5b37c6763d4e2"}