{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QKOHIZTYSV5ZFKF44HWTLVLMIF","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":"d87c98f63fd44b1a265c5cfafc9bdfcf20009ad21718e22de94bc5abde52c420","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-28T12:54:30Z","title_canon_sha256":"3ea8df2cd11f8948e43eda5316c8704f5e04a0b97ec46f6068d4bc444d366d47"},"schema_version":"1.0","source":{"id":"1209.6505","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.6505","created_at":"2026-05-18T03:08:38Z"},{"alias_kind":"arxiv_version","alias_value":"1209.6505v2","created_at":"2026-05-18T03:08:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.6505","created_at":"2026-05-18T03:08:38Z"},{"alias_kind":"pith_short_12","alias_value":"QKOHIZTYSV5Z","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QKOHIZTYSV5ZFKF4","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QKOHIZTY","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:48c875798974976b89c4766abe8d78cd7096eaacc73b507c5e0784e266cc0d27","target":"graph","created_at":"2026-05-18T03:08:38Z","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 investigate existence and uniqueness of solutions to the filtration equation with an inhomogeneous density in ${\\mathbb R}^N$, approaching at infinity a given continuous datum of Dirichlet type.","authors_text":"Fabio Punzo, Gabriele Grillo, Matteo Muratori","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-28T12:54:30Z","title":"Conditions at infinity for the inhomogeneous filtration equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.6505","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":"sha256:26f507c19943fc7575c96d54617d4d108f40aa28970ecfac0d965167303a11ac","target":"record","created_at":"2026-05-18T03:08:38Z","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":"d87c98f63fd44b1a265c5cfafc9bdfcf20009ad21718e22de94bc5abde52c420","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-28T12:54:30Z","title_canon_sha256":"3ea8df2cd11f8948e43eda5316c8704f5e04a0b97ec46f6068d4bc444d366d47"},"schema_version":"1.0","source":{"id":"1209.6505","kind":"arxiv","version":2}},"canonical_sha256":"829c746678957b92a8bce1ed35d56c4153158c5212c5a684285a2ac9b2856cec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"829c746678957b92a8bce1ed35d56c4153158c5212c5a684285a2ac9b2856cec","first_computed_at":"2026-05-18T03:08:38.400909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:38.400909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"egmj32uv5z3sGc/tcdJvjqxCyV4/FkosPBvM/SK1jC/sWMoch3AJ7HOMntbJ0OIyhOS9mevRIgfxRJXRNDzoAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:38.401390Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.6505","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26f507c19943fc7575c96d54617d4d108f40aa28970ecfac0d965167303a11ac","sha256:48c875798974976b89c4766abe8d78cd7096eaacc73b507c5e0784e266cc0d27"],"state_sha256":"049404afd13ad89510ea52dec36296edc7681d7c5b5e04162e86e91539682102"}