{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FEGHGZVTURMRVCT36JCP3CIROU","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":"b3cc35d26d4730c40f18da13b5bc9f341d8a0196ce31dd2a918fad5d545b0584","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-01-26T16:58:20Z","title_canon_sha256":"86c0686e50cdf3456b1d7c5996e134cd44b56f756f410b06b0ee621c79dcfbf2"},"schema_version":"1.0","source":{"id":"1101.5105","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5105","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5105v1","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5105","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"pith_short_12","alias_value":"FEGHGZVTURMR","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FEGHGZVTURMRVCT3","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FEGHGZVT","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:26376e612ea48de668ad5d7f2fc551bf3d3f31fa294ef42423afb9f2d3061ab8","target":"graph","created_at":"2026-05-18T04:30:46Z","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":"New simple proofs are given to some elementary approximate and explicit inversion formulas for Riesz potentials. The results are applied to reconstruction of functions from their integrals over\n  Euclidean planes in integral geometry.","authors_text":"Boris Rubin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-01-26T16:58:20Z","title":"Elementary Inversion of Riesz Potentials and Radon-John Transforms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5105","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":"sha256:4ef04f1ee696b14f3996b1b77e99d7af1a5e8a40fb8ad4a7549db2b43c6247c3","target":"record","created_at":"2026-05-18T04:30:46Z","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":"b3cc35d26d4730c40f18da13b5bc9f341d8a0196ce31dd2a918fad5d545b0584","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-01-26T16:58:20Z","title_canon_sha256":"86c0686e50cdf3456b1d7c5996e134cd44b56f756f410b06b0ee621c79dcfbf2"},"schema_version":"1.0","source":{"id":"1101.5105","kind":"arxiv","version":1}},"canonical_sha256":"290c7366b3a4591a8a7bf244fd891175156958567ce32ad66bf24605b6377598","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"290c7366b3a4591a8a7bf244fd891175156958567ce32ad66bf24605b6377598","first_computed_at":"2026-05-18T04:30:46.821828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:46.821828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F5d+v9d4GizDdhEheDow2w7FCf+JtiWeYnrUKDobp5j2gWXhB783hQfFOvyfGojyokxz8aZan525qhpkV9JoDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:46.822304Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5105","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ef04f1ee696b14f3996b1b77e99d7af1a5e8a40fb8ad4a7549db2b43c6247c3","sha256:26376e612ea48de668ad5d7f2fc551bf3d3f31fa294ef42423afb9f2d3061ab8"],"state_sha256":"67dbb6ab456babfc39a6151a2ec04e3464fd70b4d0492e64d47bce05381f551f"}