{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4S6C53YGQBKHDB7NPAU6EROV3F","short_pith_number":"pith:4S6C53YG","schema_version":"1.0","canonical_sha256":"e4bc2eef0680547187ed7829e245d5d94472c46e335eada51c3f27bced54e337","source":{"kind":"arxiv","id":"1703.01157","version":1},"attestation_state":"computed","paper":{"title":"A free boundary optimization problem for the $\\infty$-Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jos\\'e Miguel Urbano, Rafayel Teymurazyan","submitted_at":"2017-03-03T13:44:25Z","abstract_excerpt":"We study a free boundary optimization problem in heat conduction, ruled by the infinity-Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries."},"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":"1703.01157","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-03T13:44:25Z","cross_cats_sorted":[],"title_canon_sha256":"07db6d8c0ed32da08372535315ea7dc665acc2d9c12477821b4fe39b6d4a1fbf","abstract_canon_sha256":"87bca0a6795cdecc55d77a6d4a41052839af4063d8d87b65f8e57176b5d84b56"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:35.845378Z","signature_b64":"MZjZPWYkgmmCEQ+E8OZQuJuPux1OAC4qj2BdCUhq6EwCBXaBo+lRcI0AqmIVyNxS/P7wt/v1e6Mnwg4rFKxvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4bc2eef0680547187ed7829e245d5d94472c46e335eada51c3f27bced54e337","last_reissued_at":"2026-05-18T00:49:35.844836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:35.844836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A free boundary optimization problem for the $\\infty$-Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jos\\'e Miguel Urbano, Rafayel Teymurazyan","submitted_at":"2017-03-03T13:44:25Z","abstract_excerpt":"We study a free boundary optimization problem in heat conduction, ruled by the infinity-Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01157","kind":"arxiv","version":1},"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":"1703.01157","created_at":"2026-05-18T00:49:35.844922+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.01157v1","created_at":"2026-05-18T00:49:35.844922+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01157","created_at":"2026-05-18T00:49:35.844922+00:00"},{"alias_kind":"pith_short_12","alias_value":"4S6C53YGQBKH","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"4S6C53YGQBKHDB7N","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"4S6C53YG","created_at":"2026-05-18T12:31:00.734936+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/4S6C53YGQBKHDB7NPAU6EROV3F","json":"https://pith.science/pith/4S6C53YGQBKHDB7NPAU6EROV3F.json","graph_json":"https://pith.science/api/pith-number/4S6C53YGQBKHDB7NPAU6EROV3F/graph.json","events_json":"https://pith.science/api/pith-number/4S6C53YGQBKHDB7NPAU6EROV3F/events.json","paper":"https://pith.science/paper/4S6C53YG"},"agent_actions":{"view_html":"https://pith.science/pith/4S6C53YGQBKHDB7NPAU6EROV3F","download_json":"https://pith.science/pith/4S6C53YGQBKHDB7NPAU6EROV3F.json","view_paper":"https://pith.science/paper/4S6C53YG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.01157&json=true","fetch_graph":"https://pith.science/api/pith-number/4S6C53YGQBKHDB7NPAU6EROV3F/graph.json","fetch_events":"https://pith.science/api/pith-number/4S6C53YGQBKHDB7NPAU6EROV3F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4S6C53YGQBKHDB7NPAU6EROV3F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4S6C53YGQBKHDB7NPAU6EROV3F/action/storage_attestation","attest_author":"https://pith.science/pith/4S6C53YGQBKHDB7NPAU6EROV3F/action/author_attestation","sign_citation":"https://pith.science/pith/4S6C53YGQBKHDB7NPAU6EROV3F/action/citation_signature","submit_replication":"https://pith.science/pith/4S6C53YGQBKHDB7NPAU6EROV3F/action/replication_record"}},"created_at":"2026-05-18T00:49:35.844922+00:00","updated_at":"2026-05-18T00:49:35.844922+00:00"}