{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:7HGYKX4MBIIQF4PMD3QWVG6AAC","short_pith_number":"pith:7HGYKX4M","schema_version":"1.0","canonical_sha256":"f9cd855f8c0a1102f1ec1ee16a9bc00084c6ec7268d87046e1c2c5127b545d33","source":{"kind":"arxiv","id":"2202.04197","version":2},"attestation_state":"computed","paper":{"title":"Differential entropy per particle as a probe of van Hove singularities and flat bands","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"D. O. Oriekhov, Yelizaveta Kulynych","submitted_at":"2022-02-08T23:29:17Z","abstract_excerpt":"In the present paper we derive the general expressions for the differential entropy per particle near van Hove singularities (vHs) in the density of states. The dependence of entropy per particle on chemical potential and temperature demonstrates different behavior depending on the type of vHs, and distinguishes high-order vHs with different divergence exponents and flat bands. In addition, it allows one to test the ``flatness\" of the band in experiment. We compare the analytic predictions with the numerical calculation of the differential entropy for tight-binding models of graphene, Lieb lat"},"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":"2202.04197","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-02-08T23:29:17Z","cross_cats_sorted":[],"title_canon_sha256":"fe0e8ac9c9b9de0642f03fa027c4a445a7bc5622965e0a2c8e8bb9d3119eeaf7","abstract_canon_sha256":"c6cf81634ef9ec94ec3d893b70665771687af88d6e3b98004614a99f056d02cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:40:25.788778Z","signature_b64":"C4R7Far3agqOGxTKv48tk2ji27joyV6Nx3YAzX+Kz47q1W+OfYOD4X6kbPGri3Ll0ii5mDhBr8buEWYxapBXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9cd855f8c0a1102f1ec1ee16a9bc00084c6ec7268d87046e1c2c5127b545d33","last_reissued_at":"2026-07-05T04:40:25.788312Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:40:25.788312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Differential entropy per particle as a probe of van Hove singularities and flat bands","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"D. O. Oriekhov, Yelizaveta Kulynych","submitted_at":"2022-02-08T23:29:17Z","abstract_excerpt":"In the present paper we derive the general expressions for the differential entropy per particle near van Hove singularities (vHs) in the density of states. The dependence of entropy per particle on chemical potential and temperature demonstrates different behavior depending on the type of vHs, and distinguishes high-order vHs with different divergence exponents and flat bands. In addition, it allows one to test the ``flatness\" of the band in experiment. We compare the analytic predictions with the numerical calculation of the differential entropy for tight-binding models of graphene, Lieb lat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.04197","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/2202.04197/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":"2202.04197","created_at":"2026-07-05T04:40:25.788384+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.04197v2","created_at":"2026-07-05T04:40:25.788384+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.04197","created_at":"2026-07-05T04:40:25.788384+00:00"},{"alias_kind":"pith_short_12","alias_value":"7HGYKX4MBIIQ","created_at":"2026-07-05T04:40:25.788384+00:00"},{"alias_kind":"pith_short_16","alias_value":"7HGYKX4MBIIQF4PM","created_at":"2026-07-05T04:40:25.788384+00:00"},{"alias_kind":"pith_short_8","alias_value":"7HGYKX4M","created_at":"2026-07-05T04:40:25.788384+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7HGYKX4MBIIQF4PMD3QWVG6AAC","json":"https://pith.science/pith/7HGYKX4MBIIQF4PMD3QWVG6AAC.json","graph_json":"https://pith.science/api/pith-number/7HGYKX4MBIIQF4PMD3QWVG6AAC/graph.json","events_json":"https://pith.science/api/pith-number/7HGYKX4MBIIQF4PMD3QWVG6AAC/events.json","paper":"https://pith.science/paper/7HGYKX4M"},"agent_actions":{"view_html":"https://pith.science/pith/7HGYKX4MBIIQF4PMD3QWVG6AAC","download_json":"https://pith.science/pith/7HGYKX4MBIIQF4PMD3QWVG6AAC.json","view_paper":"https://pith.science/paper/7HGYKX4M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.04197&json=true","fetch_graph":"https://pith.science/api/pith-number/7HGYKX4MBIIQF4PMD3QWVG6AAC/graph.json","fetch_events":"https://pith.science/api/pith-number/7HGYKX4MBIIQF4PMD3QWVG6AAC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7HGYKX4MBIIQF4PMD3QWVG6AAC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7HGYKX4MBIIQF4PMD3QWVG6AAC/action/storage_attestation","attest_author":"https://pith.science/pith/7HGYKX4MBIIQF4PMD3QWVG6AAC/action/author_attestation","sign_citation":"https://pith.science/pith/7HGYKX4MBIIQF4PMD3QWVG6AAC/action/citation_signature","submit_replication":"https://pith.science/pith/7HGYKX4MBIIQF4PMD3QWVG6AAC/action/replication_record"}},"created_at":"2026-07-05T04:40:25.788384+00:00","updated_at":"2026-07-05T04:40:25.788384+00:00"}