{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:46ZX75J42XKUQY5PWKLUJKVTUH","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":"ecc00fffddef033dbb18019f1ef32ad48783e4372883c5364f6f440908f81b36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-10-14T15:29:47Z","title_canon_sha256":"57247f085280779bbf71744593593d6ac6cb69ee144339b550a39af828ce2882"},"schema_version":"1.0","source":{"id":"1310.5618","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5618","created_at":"2026-05-18T03:09:34Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5618v1","created_at":"2026-05-18T03:09:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5618","created_at":"2026-05-18T03:09:34Z"},{"alias_kind":"pith_short_12","alias_value":"46ZX75J42XKU","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"46ZX75J42XKUQY5P","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"46ZX75J4","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:6d230ceab4ec1cd553e1d0c9249f31146d5d09c590b4e2e891ad2e220aa2e4f7","target":"graph","created_at":"2026-05-18T03:09:34Z","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":"The study of the global mapping properties of arbitrary Dirichlet L-functions is undertaken. The results are applied to the proof of the Generalized Riemann Hypothesis.","authors_text":"Dorin Ghisa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-10-14T15:29:47Z","title":"On The Generalized Riemann Hypothesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5618","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":"sha256:563883a60ad62292f29816deeb8fe65926de477d328441fde4e678ae4556843a","target":"record","created_at":"2026-05-18T03:09:34Z","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":"ecc00fffddef033dbb18019f1ef32ad48783e4372883c5364f6f440908f81b36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-10-14T15:29:47Z","title_canon_sha256":"57247f085280779bbf71744593593d6ac6cb69ee144339b550a39af828ce2882"},"schema_version":"1.0","source":{"id":"1310.5618","kind":"arxiv","version":1}},"canonical_sha256":"e7b37ff53cd5d54863afb29744aab3a1fd08541cc2553eaa9584dab1ccf8ba7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7b37ff53cd5d54863afb29744aab3a1fd08541cc2553eaa9584dab1ccf8ba7c","first_computed_at":"2026-05-18T03:09:34.758516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:34.758516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UiLVZOcasznsTVzgGx4pg0NthPz6L2VS1wRkLU3cD71PTLRukoyrvGl58PpuciLh+3y9U0PjtCimqtKU9dDaDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:34.759115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.5618","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:563883a60ad62292f29816deeb8fe65926de477d328441fde4e678ae4556843a","sha256:6d230ceab4ec1cd553e1d0c9249f31146d5d09c590b4e2e891ad2e220aa2e4f7"],"state_sha256":"a0ffc3ac1c4f475910e096a4cb545ac9421343923a7b6f92923ce52618517af8"}