{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:PJC3XVCP4VBNC7NEKNGPPTYP5S","short_pith_number":"pith:PJC3XVCP","schema_version":"1.0","canonical_sha256":"7a45bbd44fe542d17da4534cf7cf0feca6c2ce2568d62d21df23e442b98ed09e","source":{"kind":"arxiv","id":"1505.02735","version":2},"attestation_state":"computed","paper":{"title":"On existence and uniqueness of solutions of thermal phase field models with a general class of nonlinearities","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Anderson L.A. de Araujo, Bianca M.R. Calsavara, Jos\\'e L. Boldrini","submitted_at":"2015-05-11T19:07:15Z","abstract_excerpt":"We prove the existence and uniqueness of solutions for a family of nonlinear parabolic systems related to phase field models taking in account variations of temperature and the possibility of a general class of nonlinearities. The present results generalizes in certain aspects the already published ones in the literature."},"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":"1505.02735","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AP","submitted_at":"2015-05-11T19:07:15Z","cross_cats_sorted":[],"title_canon_sha256":"7eb374a71341e1d3a8bf629d697f6a61e2f9a310176a06a0621b2679c7f605a3","abstract_canon_sha256":"7ecc873054d3e2d366dc0cf75a214c3100c6a2323e7acaa0b31bb6a764aa7c3b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:16.214398Z","signature_b64":"fJ3XFprq58joDnbexU/h8RUwRuFUMerMux31gh9eM+YOs8+CzUtqD8R0urXP77/4cqlItg8adeShYoXTHLW3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a45bbd44fe542d17da4534cf7cf0feca6c2ce2568d62d21df23e442b98ed09e","last_reissued_at":"2026-05-18T02:14:16.213643Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:16.213643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On existence and uniqueness of solutions of thermal phase field models with a general class of nonlinearities","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Anderson L.A. de Araujo, Bianca M.R. Calsavara, Jos\\'e L. Boldrini","submitted_at":"2015-05-11T19:07:15Z","abstract_excerpt":"We prove the existence and uniqueness of solutions for a family of nonlinear parabolic systems related to phase field models taking in account variations of temperature and the possibility of a general class of nonlinearities. The present results generalizes in certain aspects the already published ones in the literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02735","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":"1505.02735","created_at":"2026-05-18T02:14:16.213780+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.02735v2","created_at":"2026-05-18T02:14:16.213780+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02735","created_at":"2026-05-18T02:14:16.213780+00:00"},{"alias_kind":"pith_short_12","alias_value":"PJC3XVCP4VBN","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"PJC3XVCP4VBNC7NE","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"PJC3XVCP","created_at":"2026-05-18T12:29:37.295048+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/PJC3XVCP4VBNC7NEKNGPPTYP5S","json":"https://pith.science/pith/PJC3XVCP4VBNC7NEKNGPPTYP5S.json","graph_json":"https://pith.science/api/pith-number/PJC3XVCP4VBNC7NEKNGPPTYP5S/graph.json","events_json":"https://pith.science/api/pith-number/PJC3XVCP4VBNC7NEKNGPPTYP5S/events.json","paper":"https://pith.science/paper/PJC3XVCP"},"agent_actions":{"view_html":"https://pith.science/pith/PJC3XVCP4VBNC7NEKNGPPTYP5S","download_json":"https://pith.science/pith/PJC3XVCP4VBNC7NEKNGPPTYP5S.json","view_paper":"https://pith.science/paper/PJC3XVCP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.02735&json=true","fetch_graph":"https://pith.science/api/pith-number/PJC3XVCP4VBNC7NEKNGPPTYP5S/graph.json","fetch_events":"https://pith.science/api/pith-number/PJC3XVCP4VBNC7NEKNGPPTYP5S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PJC3XVCP4VBNC7NEKNGPPTYP5S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PJC3XVCP4VBNC7NEKNGPPTYP5S/action/storage_attestation","attest_author":"https://pith.science/pith/PJC3XVCP4VBNC7NEKNGPPTYP5S/action/author_attestation","sign_citation":"https://pith.science/pith/PJC3XVCP4VBNC7NEKNGPPTYP5S/action/citation_signature","submit_replication":"https://pith.science/pith/PJC3XVCP4VBNC7NEKNGPPTYP5S/action/replication_record"}},"created_at":"2026-05-18T02:14:16.213780+00:00","updated_at":"2026-05-18T02:14:16.213780+00:00"}