{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QV3GQNMFEMZWEXDOCBYWYNIBMI","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":"f90a4c140ac04aaf0eac38829222c8878bde19139aa490c6b26a2f8e21035202","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-03T12:32:03Z","title_canon_sha256":"293e0ccadf4bf3960eaf9a7ceb5a955fa349f8918a01ad4e25852fdd4fdd0cd1"},"schema_version":"1.0","source":{"id":"1801.00976","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00976","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00976v4","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00976","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"pith_short_12","alias_value":"QV3GQNMFEMZW","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QV3GQNMFEMZWEXDO","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QV3GQNMF","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:bd544090381ae49291d5f5ba08a5bfb66d32564ab7764e5fbeb976099de22f1a","target":"graph","created_at":"2026-05-18T00:22:44Z","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 obtain an asymptotic representation formula for harmonic functions with respect to a linear anisotropic nonlocal operator. Furthermore we get a Bourgain-Brezis-Mironescu type limit formula for a related class of anisotropic nonlocal norms.","authors_text":"Claudia Bucur, Marco Squassina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-03T12:32:03Z","title":"Asymptotic mean value properties for fractional anisotropic operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00976","kind":"arxiv","version":4},"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":"sha256:8cd60e5b379b8a0aed52eca54c0f9b118b724372d68a1b06a51bebdcc0cb0387","target":"record","created_at":"2026-05-18T00:22:44Z","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":"f90a4c140ac04aaf0eac38829222c8878bde19139aa490c6b26a2f8e21035202","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-03T12:32:03Z","title_canon_sha256":"293e0ccadf4bf3960eaf9a7ceb5a955fa349f8918a01ad4e25852fdd4fdd0cd1"},"schema_version":"1.0","source":{"id":"1801.00976","kind":"arxiv","version":4}},"canonical_sha256":"85766835852333625c6e10716c3501620c35871aefe46633f6a4de1c6f545a42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85766835852333625c6e10716c3501620c35871aefe46633f6a4de1c6f545a42","first_computed_at":"2026-05-18T00:22:44.276849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:44.276849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dtc3qlG+fLRJdqFwlNNtwFrCoSBoIf/MAs+YkvWr7qoNhq4CAeiyDAqpfLPYwUSYTk8coSin9SQRJhVP/k2GAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:44.277334Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00976","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cd60e5b379b8a0aed52eca54c0f9b118b724372d68a1b06a51bebdcc0cb0387","sha256:bd544090381ae49291d5f5ba08a5bfb66d32564ab7764e5fbeb976099de22f1a"],"state_sha256":"465ec8491567e52a8560d0394be4319fec2af594d874a8384be52bb4c4086103"}