{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:W5O2F7MA6SNUFBYGAPJNS6YGD6","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":"7140c1d7cbcd6d3e3f3337ef0387ee9788e7c2a68921f58cfb1110cbeeda4d87","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-30T19:26:12Z","title_canon_sha256":"2aaaea010bdc54a139063c22e4a8696dda2a3ef99064e1ffca7adf8762e73fd8"},"schema_version":"1.0","source":{"id":"1508.07623","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07623","created_at":"2026-05-18T01:34:31Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07623v1","created_at":"2026-05-18T01:34:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07623","created_at":"2026-05-18T01:34:31Z"},{"alias_kind":"pith_short_12","alias_value":"W5O2F7MA6SNU","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W5O2F7MA6SNUFBYG","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W5O2F7MA","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:dcf020608c2fa17f2636c95e4aab35d32841811e5f86cdc27f0bb5485f20bf9c","target":"graph","created_at":"2026-05-18T01:34:31Z","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":"In this paper we establish the exact growth of the solution of the singular quasilinear p-parabolic obstacle problem near the free boundary from which we deduce its porosity.","authors_text":"Abdeslem Lyaghfouri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-30T19:26:12Z","title":"Porosity of the Free Boundary in the Singular p-Parabolic Obstacle Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07623","kind":"arxiv","version":1},"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":"sha256:9425ef2ff629c75cd943bd54ded0e23810fd65e72a15a531066fa61dbad96c6f","target":"record","created_at":"2026-05-18T01:34:31Z","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":"7140c1d7cbcd6d3e3f3337ef0387ee9788e7c2a68921f58cfb1110cbeeda4d87","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-30T19:26:12Z","title_canon_sha256":"2aaaea010bdc54a139063c22e4a8696dda2a3ef99064e1ffca7adf8762e73fd8"},"schema_version":"1.0","source":{"id":"1508.07623","kind":"arxiv","version":1}},"canonical_sha256":"b75da2fd80f49b42870603d2d97b061f844ad00564bc2edd6bae66e9b8c78171","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b75da2fd80f49b42870603d2d97b061f844ad00564bc2edd6bae66e9b8c78171","first_computed_at":"2026-05-18T01:34:31.832333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:31.832333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7TEg9sYVPDfKFs7OiPFf9izxVPlBtXlJx/q46GEkGEzWkyICMuDQV506AZ1toWY2Ly7aXY4NH8awrTjAAqdkCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:31.832840Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07623","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9425ef2ff629c75cd943bd54ded0e23810fd65e72a15a531066fa61dbad96c6f","sha256:dcf020608c2fa17f2636c95e4aab35d32841811e5f86cdc27f0bb5485f20bf9c"],"state_sha256":"92a614ca15d55d2406bc492c236586c4df09bf413555ea2c15896377be2e20cc"}