{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:IBKXQSZ7JKGYCO2UMUXVENV3RN","short_pith_number":"pith:IBKXQSZ7","schema_version":"1.0","canonical_sha256":"4055784b3f4a8d813b54652f5236bb8b745d719d1fd6d8d21d876d02d29a3e65","source":{"kind":"arxiv","id":"1503.04175","version":4},"attestation_state":"computed","paper":{"title":"Exponent relations at quantum phase transitions, with applications to metallic quantum ferromagnets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"D. Belitz, T.R. Kirkpatrick","submitted_at":"2015-03-13T18:11:22Z","abstract_excerpt":"Relations between critical exponents, or scaling laws, at both continuous and discontinuous quantum phase transitions are derived and discussed. In general there are multiple dynamical exponents at these transitions, which complicates the scaling description. Some rigorous inequalities are derived, and the conditions needed for these inequalities to be equalities are discussed. New scaling laws involving the specific-heat exponents are derived and and contrasted with their counterparts at classical phase transitions. We also generalize the ideas of Fisher and Berker and others for applying (fi"},"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":"1503.04175","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-13T18:11:22Z","cross_cats_sorted":[],"title_canon_sha256":"9aad0be751e3d1a55257ce0259c5a58221ab0ced14b3b6e038e44616a2ce344e","abstract_canon_sha256":"c3d173f587ec3a164d259813fe9f85fa37871764e9e0cea7dcb34dcaf1294b72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:12.977592Z","signature_b64":"5LxVmhdiS/UKjSlRzrD+5r1FQMfgP+HVXKGy6UTEa2MeHRdzlwFgd4QUj8YtSi3zXPdDZm2HXPMqKqWoLXLVBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4055784b3f4a8d813b54652f5236bb8b745d719d1fd6d8d21d876d02d29a3e65","last_reissued_at":"2026-05-18T01:34:12.976865Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:12.976865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exponent relations at quantum phase transitions, with applications to metallic quantum ferromagnets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"D. Belitz, T.R. Kirkpatrick","submitted_at":"2015-03-13T18:11:22Z","abstract_excerpt":"Relations between critical exponents, or scaling laws, at both continuous and discontinuous quantum phase transitions are derived and discussed. In general there are multiple dynamical exponents at these transitions, which complicates the scaling description. Some rigorous inequalities are derived, and the conditions needed for these inequalities to be equalities are discussed. New scaling laws involving the specific-heat exponents are derived and and contrasted with their counterparts at classical phase transitions. We also generalize the ideas of Fisher and Berker and others for applying (fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04175","kind":"arxiv","version":4},"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":"1503.04175","created_at":"2026-05-18T01:34:12.976992+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.04175v4","created_at":"2026-05-18T01:34:12.976992+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04175","created_at":"2026-05-18T01:34:12.976992+00:00"},{"alias_kind":"pith_short_12","alias_value":"IBKXQSZ7JKGY","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"IBKXQSZ7JKGYCO2U","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"IBKXQSZ7","created_at":"2026-05-18T12:29:25.134429+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/IBKXQSZ7JKGYCO2UMUXVENV3RN","json":"https://pith.science/pith/IBKXQSZ7JKGYCO2UMUXVENV3RN.json","graph_json":"https://pith.science/api/pith-number/IBKXQSZ7JKGYCO2UMUXVENV3RN/graph.json","events_json":"https://pith.science/api/pith-number/IBKXQSZ7JKGYCO2UMUXVENV3RN/events.json","paper":"https://pith.science/paper/IBKXQSZ7"},"agent_actions":{"view_html":"https://pith.science/pith/IBKXQSZ7JKGYCO2UMUXVENV3RN","download_json":"https://pith.science/pith/IBKXQSZ7JKGYCO2UMUXVENV3RN.json","view_paper":"https://pith.science/paper/IBKXQSZ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.04175&json=true","fetch_graph":"https://pith.science/api/pith-number/IBKXQSZ7JKGYCO2UMUXVENV3RN/graph.json","fetch_events":"https://pith.science/api/pith-number/IBKXQSZ7JKGYCO2UMUXVENV3RN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IBKXQSZ7JKGYCO2UMUXVENV3RN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IBKXQSZ7JKGYCO2UMUXVENV3RN/action/storage_attestation","attest_author":"https://pith.science/pith/IBKXQSZ7JKGYCO2UMUXVENV3RN/action/author_attestation","sign_citation":"https://pith.science/pith/IBKXQSZ7JKGYCO2UMUXVENV3RN/action/citation_signature","submit_replication":"https://pith.science/pith/IBKXQSZ7JKGYCO2UMUXVENV3RN/action/replication_record"}},"created_at":"2026-05-18T01:34:12.976992+00:00","updated_at":"2026-05-18T01:34:12.976992+00:00"}