{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NBDGRCDZ72OWPLLEF3K5UMBYPC","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":"3d3cb34b01f69d78d96c7262513bb759bcf58ac289f9dca2d016317e7a323448","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2019-04-21T18:35:34Z","title_canon_sha256":"d7f4f13ef3e586fec4cf0c9d41dbd2c20a23b06d24c59b6dd1935037467ee8a1"},"schema_version":"1.0","source":{"id":"1904.11364","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.11364","created_at":"2026-05-17T23:47:45Z"},{"alias_kind":"arxiv_version","alias_value":"1904.11364v1","created_at":"2026-05-17T23:47:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.11364","created_at":"2026-05-17T23:47:45Z"},{"alias_kind":"pith_short_12","alias_value":"NBDGRCDZ72OW","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"NBDGRCDZ72OWPLLE","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"NBDGRCDZ","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:da390a4ab767da8ad5924cac9c42f2fa3d9e97cff41f37e6af49b8030e373d4e","target":"graph","created_at":"2026-05-17T23:47:45Z","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":"A new method is given for proving the global existence of the solution to nonlinear Volterra integral equations. A bound on the solution is derived. The results are based on a nonlinear inequality proved by the author earlier.","authors_text":"Alexander G. Ramm","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2019-04-21T18:35:34Z","title":"Global existence of solutions to nonlinear Volterra integral equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11364","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:a00ebfdc5f31dbb9e3cd6e899288983c01981162abc99defe062aaf3f931d3d8","target":"record","created_at":"2026-05-17T23:47:45Z","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":"3d3cb34b01f69d78d96c7262513bb759bcf58ac289f9dca2d016317e7a323448","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2019-04-21T18:35:34Z","title_canon_sha256":"d7f4f13ef3e586fec4cf0c9d41dbd2c20a23b06d24c59b6dd1935037467ee8a1"},"schema_version":"1.0","source":{"id":"1904.11364","kind":"arxiv","version":1}},"canonical_sha256":"6846688879fe9d67ad642ed5da303878ba3b0df3074bb84aa13a625dbde3e9bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6846688879fe9d67ad642ed5da303878ba3b0df3074bb84aa13a625dbde3e9bf","first_computed_at":"2026-05-17T23:47:45.123111Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:45.123111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8zoptdyRmLf9yBletgIo/nT9+QlLWffmH92Qt4Fm/syYULpA95y/DzqKRjv7AooxvP42IeVKSzkWl3chR49CDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:45.123672Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.11364","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a00ebfdc5f31dbb9e3cd6e899288983c01981162abc99defe062aaf3f931d3d8","sha256:da390a4ab767da8ad5924cac9c42f2fa3d9e97cff41f37e6af49b8030e373d4e"],"state_sha256":"73d27574e96f0b668cb40c6e4bf40b7c29d441767d31290a05eb7fc503c29064"}