{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:47JQK5FWVOIKVYJ3X3RYKIICFF","short_pith_number":"pith:47JQK5FW","schema_version":"1.0","canonical_sha256":"e7d30574b6ab90aae13bbee3852102295eacd354650fab940cb6491d26ce91ac","source":{"kind":"arxiv","id":"1508.02026","version":1},"attestation_state":"computed","paper":{"title":"On the shape of the free boundary of variational inequalities with gradient constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Mohammad Safdari","submitted_at":"2015-08-09T14:19:34Z","abstract_excerpt":"In this paper we derive an estimate on the number of local maxima of the free boundary of some variational inequalities with pointwise gradient constraints. This also gives an estimate on the number of connected components of the free boundary."},"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":"1508.02026","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-09T14:19:34Z","cross_cats_sorted":[],"title_canon_sha256":"625a56aa395f220753732d821fee8912c23aee391c4afd8bc1435fa7c85d4c7f","abstract_canon_sha256":"716607a272e7faec7fb5cb98a40d82b18f732f43cdcaaf2bce80368273dfeaf2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:51.126354Z","signature_b64":"fR/Cs7oS+iT0Id98MMjNi/ApUR1vhtNvJ2dtqTjChLqvefD2sj72S65ZMq9/4fB44ldh2NH2TuMZW31WVkYnDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7d30574b6ab90aae13bbee3852102295eacd354650fab940cb6491d26ce91ac","last_reissued_at":"2026-05-18T00:11:51.125127Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:51.125127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the shape of the free boundary of variational inequalities with gradient constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Mohammad Safdari","submitted_at":"2015-08-09T14:19:34Z","abstract_excerpt":"In this paper we derive an estimate on the number of local maxima of the free boundary of some variational inequalities with pointwise gradient constraints. This also gives an estimate on the number of connected components of the free boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02026","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":"1508.02026","created_at":"2026-05-18T00:11:51.125334+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.02026v1","created_at":"2026-05-18T00:11:51.125334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02026","created_at":"2026-05-18T00:11:51.125334+00:00"},{"alias_kind":"pith_short_12","alias_value":"47JQK5FWVOIK","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"47JQK5FWVOIKVYJ3","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"47JQK5FW","created_at":"2026-05-18T12:29:05.191682+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/47JQK5FWVOIKVYJ3X3RYKIICFF","json":"https://pith.science/pith/47JQK5FWVOIKVYJ3X3RYKIICFF.json","graph_json":"https://pith.science/api/pith-number/47JQK5FWVOIKVYJ3X3RYKIICFF/graph.json","events_json":"https://pith.science/api/pith-number/47JQK5FWVOIKVYJ3X3RYKIICFF/events.json","paper":"https://pith.science/paper/47JQK5FW"},"agent_actions":{"view_html":"https://pith.science/pith/47JQK5FWVOIKVYJ3X3RYKIICFF","download_json":"https://pith.science/pith/47JQK5FWVOIKVYJ3X3RYKIICFF.json","view_paper":"https://pith.science/paper/47JQK5FW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.02026&json=true","fetch_graph":"https://pith.science/api/pith-number/47JQK5FWVOIKVYJ3X3RYKIICFF/graph.json","fetch_events":"https://pith.science/api/pith-number/47JQK5FWVOIKVYJ3X3RYKIICFF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/47JQK5FWVOIKVYJ3X3RYKIICFF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/47JQK5FWVOIKVYJ3X3RYKIICFF/action/storage_attestation","attest_author":"https://pith.science/pith/47JQK5FWVOIKVYJ3X3RYKIICFF/action/author_attestation","sign_citation":"https://pith.science/pith/47JQK5FWVOIKVYJ3X3RYKIICFF/action/citation_signature","submit_replication":"https://pith.science/pith/47JQK5FWVOIKVYJ3X3RYKIICFF/action/replication_record"}},"created_at":"2026-05-18T00:11:51.125334+00:00","updated_at":"2026-05-18T00:11:51.125334+00:00"}