{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:S6RAZXWVWFTKKYZCDKF2G4GE5T","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"99f6e4cfeb1ada9305002dae9cc4c738603da3922367b61442d82bd13ec74abc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-02-25T14:08:20Z","title_canon_sha256":"b79055181406cd30d9a05074b823ca6b78178cf400c61e05b70dd4c460e8b06a"},"schema_version":"1.0","source":{"id":"1502.07168","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07168","created_at":"2026-05-18T02:26:10Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07168v2","created_at":"2026-05-18T02:26:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07168","created_at":"2026-05-18T02:26:10Z"},{"alias_kind":"pith_short_12","alias_value":"S6RAZXWVWFTK","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S6RAZXWVWFTKKYZC","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S6RAZXWV","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:cc184ef3fc1d84bce7491dbbd493530d498b9d5c5d1783ba424fc36292c8dd63","target":"graph","created_at":"2026-05-18T02:26:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We prove an epiperimetric inequality for the thin obstacle problem, extending the pioneering results by Weiss on the classical obstacle problem (Invent. Math. 138 (1999), no. 1, 23-50). This inequality provides the means to study the rate of converge of the rescaled solutions to their limits, as well as the regularity properties of the free boundary.","authors_text":"Emanuele Spadaro, Matteo Focardi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-02-25T14:08:20Z","title":"An Epiperimetric Inequality for the Thin Obstacle problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07168","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dc8a33278a609ce2757f5b3d5f8b7cd243b78c32bb2dc8c2c2fe3d7be7001642","target":"record","created_at":"2026-05-18T02:26:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"99f6e4cfeb1ada9305002dae9cc4c738603da3922367b61442d82bd13ec74abc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-02-25T14:08:20Z","title_canon_sha256":"b79055181406cd30d9a05074b823ca6b78178cf400c61e05b70dd4c460e8b06a"},"schema_version":"1.0","source":{"id":"1502.07168","kind":"arxiv","version":2}},"canonical_sha256":"97a20cded5b166a563221a8ba370c4ecd88495a4cee77e0bc2543fa6f5529e4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97a20cded5b166a563221a8ba370c4ecd88495a4cee77e0bc2543fa6f5529e4e","first_computed_at":"2026-05-18T02:26:10.034293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:10.034293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tWfVt/wgVxq3Kk7UwAPGhITdn/YfTz8fEkt5BTJIaiGAmQ0WzC8+ACEhSPHUwx1ZS7lWMK//hmRU483b9mXzCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:10.034848Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.07168","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc8a33278a609ce2757f5b3d5f8b7cd243b78c32bb2dc8c2c2fe3d7be7001642","sha256:cc184ef3fc1d84bce7491dbbd493530d498b9d5c5d1783ba424fc36292c8dd63"],"state_sha256":"ec7540e4dc9cb6b8468f0136d895e60dc4223d98f0ef93dad78f93a62b298793"}