{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:MNBSIT7VBNWOWKMAWL3M2PQCRY","short_pith_number":"pith:MNBSIT7V","schema_version":"1.0","canonical_sha256":"6343244ff50b6ceb2980b2f6cd3e028e1d8b3451671c8c4b8570fe5a799a1136","source":{"kind":"arxiv","id":"1306.2142","version":2},"attestation_state":"computed","paper":{"title":"Energy gap at first-order quantum phase transitions: An anomalous case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Hidetoshi Nishimori, Junichi Tsuda, Yuuki Yamanaka","submitted_at":"2013-06-10T09:12:44Z","abstract_excerpt":"We show that the rate of closing of the energy gap between the ground state and the first excited state, as a function of system size, behaves in many qualitatively different ways at first-order quantum phase transitions of the infinite-range quantum XY model. Examples include polynomial, exponential and even factorially fast closing of the energy gap, all of which coexist along a single axis of the phase diagram representing the transverse field. This variety emerges depending on whether or not the transverse field assumes a rational number as well as on how the series of system size is chose"},"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":"1306.2142","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-10T09:12:44Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a1c34e60fdbd744629261a6125a953bb0af6210691e643e9c4fc852f60a003e3","abstract_canon_sha256":"b434085180c8d6bc007a4bb1c9b0d1e52d5a012fd3141e10462179461359f6ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:34.146248Z","signature_b64":"kNV3xxDe+73a4mEhoS0npJPbgU/Yv/AsoxtLl5P0WGTpTxNGs3LMK8EYI6pCmoqnUgTWRNia9tmy9Ry9k+X0Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6343244ff50b6ceb2980b2f6cd3e028e1d8b3451671c8c4b8570fe5a799a1136","last_reissued_at":"2026-05-18T03:07:34.145818Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:34.145818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Energy gap at first-order quantum phase transitions: An anomalous case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Hidetoshi Nishimori, Junichi Tsuda, Yuuki Yamanaka","submitted_at":"2013-06-10T09:12:44Z","abstract_excerpt":"We show that the rate of closing of the energy gap between the ground state and the first excited state, as a function of system size, behaves in many qualitatively different ways at first-order quantum phase transitions of the infinite-range quantum XY model. Examples include polynomial, exponential and even factorially fast closing of the energy gap, all of which coexist along a single axis of the phase diagram representing the transverse field. This variety emerges depending on whether or not the transverse field assumes a rational number as well as on how the series of system size is chose"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2142","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":"1306.2142","created_at":"2026-05-18T03:07:34.145895+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.2142v2","created_at":"2026-05-18T03:07:34.145895+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2142","created_at":"2026-05-18T03:07:34.145895+00:00"},{"alias_kind":"pith_short_12","alias_value":"MNBSIT7VBNWO","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"MNBSIT7VBNWOWKMA","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"MNBSIT7V","created_at":"2026-05-18T12:27:52.871228+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/MNBSIT7VBNWOWKMAWL3M2PQCRY","json":"https://pith.science/pith/MNBSIT7VBNWOWKMAWL3M2PQCRY.json","graph_json":"https://pith.science/api/pith-number/MNBSIT7VBNWOWKMAWL3M2PQCRY/graph.json","events_json":"https://pith.science/api/pith-number/MNBSIT7VBNWOWKMAWL3M2PQCRY/events.json","paper":"https://pith.science/paper/MNBSIT7V"},"agent_actions":{"view_html":"https://pith.science/pith/MNBSIT7VBNWOWKMAWL3M2PQCRY","download_json":"https://pith.science/pith/MNBSIT7VBNWOWKMAWL3M2PQCRY.json","view_paper":"https://pith.science/paper/MNBSIT7V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.2142&json=true","fetch_graph":"https://pith.science/api/pith-number/MNBSIT7VBNWOWKMAWL3M2PQCRY/graph.json","fetch_events":"https://pith.science/api/pith-number/MNBSIT7VBNWOWKMAWL3M2PQCRY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MNBSIT7VBNWOWKMAWL3M2PQCRY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MNBSIT7VBNWOWKMAWL3M2PQCRY/action/storage_attestation","attest_author":"https://pith.science/pith/MNBSIT7VBNWOWKMAWL3M2PQCRY/action/author_attestation","sign_citation":"https://pith.science/pith/MNBSIT7VBNWOWKMAWL3M2PQCRY/action/citation_signature","submit_replication":"https://pith.science/pith/MNBSIT7VBNWOWKMAWL3M2PQCRY/action/replication_record"}},"created_at":"2026-05-18T03:07:34.145895+00:00","updated_at":"2026-05-18T03:07:34.145895+00:00"}