{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:SMND6R73KXJHJOW5CKNFBHY365","short_pith_number":"pith:SMND6R73","schema_version":"1.0","canonical_sha256":"931a3f47fb55d274badd129a509f1bf77424c9764da5c6fd9d10a4b114f2a057","source":{"kind":"arxiv","id":"1703.08962","version":2},"attestation_state":"computed","paper":{"title":"Entropy spikes as a signature of Lifshitz transitions in the Dirac materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A.A. Varlamov, A.V. Kavokin, S.G. Sharapov, V.P. Gusynin, V.Yu. Tsaran","submitted_at":"2017-03-27T08:00:36Z","abstract_excerpt":"We demonstrate theoretically that the characteristic feature of a 2D system undergoing $N$ consequent Lifshitz topological transitions is the occurrence of spikes of entropy per particle $s$ of a magnitude $\\pm \\ln 2/(J-1/2)$ with $2 \\leq J \\leq N$ at low temperatures. We derive a general expression for $s$ as a function of chemical potential, temperature and gap magnitude for the gapped Dirac materials. Inside the smallest gap, the dependence of $s$ on the chemical potential exhibits a dip-and-peak structure in the temperature vicinity of the Dirac point. The spikes of the entropy per particl"},"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":"1703.08962","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-03-27T08:00:36Z","cross_cats_sorted":[],"title_canon_sha256":"994d97afc15b6d806bf498e8d351a7546ab767d1a6e701cd26882676e1775659","abstract_canon_sha256":"26eb0a000bd6b7ce057c4435471396d582cf1eb877de3455cb8280d7d181ed82"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:19.311182Z","signature_b64":"Q34uVYuKvKEiLY8H6siWqEGthiYuIf6AduIrwy1Ohi+52YnA7WirnHLLd5swrihrgZQIO5S4/q2ZF5LUC2NCDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"931a3f47fb55d274badd129a509f1bf77424c9764da5c6fd9d10a4b114f2a057","last_reissued_at":"2026-05-18T00:36:19.310599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:19.310599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entropy spikes as a signature of Lifshitz transitions in the Dirac materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A.A. Varlamov, A.V. Kavokin, S.G. Sharapov, V.P. Gusynin, V.Yu. Tsaran","submitted_at":"2017-03-27T08:00:36Z","abstract_excerpt":"We demonstrate theoretically that the characteristic feature of a 2D system undergoing $N$ consequent Lifshitz topological transitions is the occurrence of spikes of entropy per particle $s$ of a magnitude $\\pm \\ln 2/(J-1/2)$ with $2 \\leq J \\leq N$ at low temperatures. We derive a general expression for $s$ as a function of chemical potential, temperature and gap magnitude for the gapped Dirac materials. Inside the smallest gap, the dependence of $s$ on the chemical potential exhibits a dip-and-peak structure in the temperature vicinity of the Dirac point. The spikes of the entropy per particl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08962","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":""},"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":"1703.08962","created_at":"2026-05-18T00:36:19.310696+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.08962v2","created_at":"2026-05-18T00:36:19.310696+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08962","created_at":"2026-05-18T00:36:19.310696+00:00"},{"alias_kind":"pith_short_12","alias_value":"SMND6R73KXJH","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"SMND6R73KXJHJOW5","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"SMND6R73","created_at":"2026-05-18T12:31:43.269735+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/SMND6R73KXJHJOW5CKNFBHY365","json":"https://pith.science/pith/SMND6R73KXJHJOW5CKNFBHY365.json","graph_json":"https://pith.science/api/pith-number/SMND6R73KXJHJOW5CKNFBHY365/graph.json","events_json":"https://pith.science/api/pith-number/SMND6R73KXJHJOW5CKNFBHY365/events.json","paper":"https://pith.science/paper/SMND6R73"},"agent_actions":{"view_html":"https://pith.science/pith/SMND6R73KXJHJOW5CKNFBHY365","download_json":"https://pith.science/pith/SMND6R73KXJHJOW5CKNFBHY365.json","view_paper":"https://pith.science/paper/SMND6R73","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.08962&json=true","fetch_graph":"https://pith.science/api/pith-number/SMND6R73KXJHJOW5CKNFBHY365/graph.json","fetch_events":"https://pith.science/api/pith-number/SMND6R73KXJHJOW5CKNFBHY365/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SMND6R73KXJHJOW5CKNFBHY365/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SMND6R73KXJHJOW5CKNFBHY365/action/storage_attestation","attest_author":"https://pith.science/pith/SMND6R73KXJHJOW5CKNFBHY365/action/author_attestation","sign_citation":"https://pith.science/pith/SMND6R73KXJHJOW5CKNFBHY365/action/citation_signature","submit_replication":"https://pith.science/pith/SMND6R73KXJHJOW5CKNFBHY365/action/replication_record"}},"created_at":"2026-05-18T00:36:19.310696+00:00","updated_at":"2026-05-18T00:36:19.310696+00:00"}