{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:AGLIFWZPHEIY27LHB7CWH3ZJSS","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":"0b1ff1fe68e0389b9df33a1f124ca102354d9e22ca03bfee2029bbb5f79b3935","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2009-08-18T10:06:13Z","title_canon_sha256":"d8ee15511faa2a5e9870fe268cd16e343bb8709f5c11f4e84b2f10d759145374"},"schema_version":"1.0","source":{"id":"0908.2532","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.2532","created_at":"2026-05-18T04:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"0908.2532v2","created_at":"2026-05-18T04:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.2532","created_at":"2026-05-18T04:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"AGLIFWZPHEIY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AGLIFWZPHEIY27LH","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AGLIFWZP","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:27f89eeed5e39681f48e6f0281ef34fa15f7e38efcaae09188c75e53ccc67669","target":"graph","created_at":"2026-05-18T04:42:13Z","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":"Un probl\\`eme important en statistique est la d\\'etermination d'une loi de probabilit\\'e jointe \\`a partir de ses lois marginales. Dans le cas bidimensionnel, les lois de probabilit\\'e marginales f1 (x) et f2(y) sont reli\\'ees \\`a la loi jointe f(x,y) par les int\\'egrales suivant les lignes horizontale et verticale (les deux axes x et y). Ainsi, le probl\\`eme de la d\\'etermination de f(x,y) connaissant f1 (x) et f2(y) est un probl\\`eme inverse mal pos\\'e. En statistique la notion de copule est introduite pour obtenir une solution \\`a ce probl\\`eme. Un probl\\`eme similaire en tomographie \\`a ra","authors_text":"Ali Mohammad-Djafari, Doriano-Boris Pougaza, Jean-Francois Bercher","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2009-08-18T10:06:13Z","title":"Utilisation de la notion de copule en tomographie"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.2532","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:ca8cf176cfbc581ebb37b035b783a78415d5d08271490c396ae01c58966cd226","target":"record","created_at":"2026-05-18T04:42:13Z","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":"0b1ff1fe68e0389b9df33a1f124ca102354d9e22ca03bfee2029bbb5f79b3935","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2009-08-18T10:06:13Z","title_canon_sha256":"d8ee15511faa2a5e9870fe268cd16e343bb8709f5c11f4e84b2f10d759145374"},"schema_version":"1.0","source":{"id":"0908.2532","kind":"arxiv","version":2}},"canonical_sha256":"019682db2f39118d7d670fc563ef2994aca343750b59e229a9b1c4d20ae22c9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"019682db2f39118d7d670fc563ef2994aca343750b59e229a9b1c4d20ae22c9f","first_computed_at":"2026-05-18T04:42:13.811333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:13.811333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c+8aEAniGSsydYWcWfhEyYvNEQbekZ9WamapIf8jPrLAs0ObW1+p43kfXnowjJmcSTW0RvTCYXKBmqpVp0S3Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:13.811820Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.2532","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca8cf176cfbc581ebb37b035b783a78415d5d08271490c396ae01c58966cd226","sha256:27f89eeed5e39681f48e6f0281ef34fa15f7e38efcaae09188c75e53ccc67669"],"state_sha256":"2f81bc1476dc972601d495785bf25a590c40366a0f7a0f4a28b64fb328505573"}