{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:G6QBGD3KNBPAGWMLGOXSDGXXBQ","short_pith_number":"pith:G6QBGD3K","canonical_record":{"source":{"id":"1304.2505","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-09T09:54:48Z","cross_cats_sorted":[],"title_canon_sha256":"e9abc7fba00b6294e893bddb7b813d7d77e41a20b4cedc2fc235e5b6bda60fbc","abstract_canon_sha256":"bd870d03c2f0e4ee99681f45aa2033328ebd13eb43593c8dd812b7d8927a2717"},"schema_version":"1.0"},"canonical_sha256":"37a0130f6a685e03598b33af219af70c332607850c80a0023b42a83700aaf761","source":{"kind":"arxiv","id":"1304.2505","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2505","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2505v3","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2505","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"pith_short_12","alias_value":"G6QBGD3KNBPA","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"G6QBGD3KNBPAGWML","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"G6QBGD3K","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:G6QBGD3KNBPAGWMLGOXSDGXXBQ","target":"record","payload":{"canonical_record":{"source":{"id":"1304.2505","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-09T09:54:48Z","cross_cats_sorted":[],"title_canon_sha256":"e9abc7fba00b6294e893bddb7b813d7d77e41a20b4cedc2fc235e5b6bda60fbc","abstract_canon_sha256":"bd870d03c2f0e4ee99681f45aa2033328ebd13eb43593c8dd812b7d8927a2717"},"schema_version":"1.0"},"canonical_sha256":"37a0130f6a685e03598b33af219af70c332607850c80a0023b42a83700aaf761","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:26.125731Z","signature_b64":"NCuCEkl4cW0EUcZEHaM68k6nCVu0Xg4XYC5FaoEIy3uXsK/L1S9dhy1ybzDotTFGKBcEbcMbQ+e49KZ5IWuLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37a0130f6a685e03598b33af219af70c332607850c80a0023b42a83700aaf761","last_reissued_at":"2026-05-18T02:48:26.125229Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:26.125229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.2505","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:48:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HoxPnhmOllAiqNg9POba5uNRUl1m9eZuQrLfsSSo839UeCcxjhrCEzJW6z7SByMk1JQo4hSwog0jNdIY8LSDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T14:16:08.426765Z"},"content_sha256":"a0493c3a62a5f8a1355281c7d7ec05d720f187d7022491b2fcf9220951477465","schema_version":"1.0","event_id":"sha256:a0493c3a62a5f8a1355281c7d7ec05d720f187d7022491b2fcf9220951477465"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:G6QBGD3KNBPAGWMLGOXSDGXXBQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An improved Talbot method for numerical Laplace transform inversion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Benedict Dingfelder, J.A.C. Weideman","submitted_at":"2013-04-09T09:54:48Z","abstract_excerpt":"The classical Talbot method for the computation of the inverse Laplace transform is improved for the case where the transform is analytic in the complex plane except for the negative real axis. First, by using a truncated Talbot contour rather than the classical contour that goes to infinity in the left half-plane, faster convergence is achieved. Second, a control mechanism for improving numerical stability is introduced. These two features are incorporated into a software code, whose performance is assessed on transforms from tables as well as from actual applications. It is shown that even w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2505","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:48:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8cr+cOUQlIvJ7knKZTEELMxxE4tFHgJ11BamcrFSiu3nJFKlU7e3dVwAoWwK8VRX1WrB3IFcKeuDTLLhatiACQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T14:16:08.427588Z"},"content_sha256":"cda0075a13dc4e94f470f4d1be8f4ec29dc9c42110be8be0ba43a8e3b5f27ee2","schema_version":"1.0","event_id":"sha256:cda0075a13dc4e94f470f4d1be8f4ec29dc9c42110be8be0ba43a8e3b5f27ee2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G6QBGD3KNBPAGWMLGOXSDGXXBQ/bundle.json","state_url":"https://pith.science/pith/G6QBGD3KNBPAGWMLGOXSDGXXBQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G6QBGD3KNBPAGWMLGOXSDGXXBQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-05T14:16:08Z","links":{"resolver":"https://pith.science/pith/G6QBGD3KNBPAGWMLGOXSDGXXBQ","bundle":"https://pith.science/pith/G6QBGD3KNBPAGWMLGOXSDGXXBQ/bundle.json","state":"https://pith.science/pith/G6QBGD3KNBPAGWMLGOXSDGXXBQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G6QBGD3KNBPAGWMLGOXSDGXXBQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:G6QBGD3KNBPAGWMLGOXSDGXXBQ","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":"bd870d03c2f0e4ee99681f45aa2033328ebd13eb43593c8dd812b7d8927a2717","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-09T09:54:48Z","title_canon_sha256":"e9abc7fba00b6294e893bddb7b813d7d77e41a20b4cedc2fc235e5b6bda60fbc"},"schema_version":"1.0","source":{"id":"1304.2505","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2505","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2505v3","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2505","created_at":"2026-05-18T02:48:26Z"},{"alias_kind":"pith_short_12","alias_value":"G6QBGD3KNBPA","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"G6QBGD3KNBPAGWML","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"G6QBGD3K","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:cda0075a13dc4e94f470f4d1be8f4ec29dc9c42110be8be0ba43a8e3b5f27ee2","target":"graph","created_at":"2026-05-18T02:48:26Z","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 classical Talbot method for the computation of the inverse Laplace transform is improved for the case where the transform is analytic in the complex plane except for the negative real axis. First, by using a truncated Talbot contour rather than the classical contour that goes to infinity in the left half-plane, faster convergence is achieved. Second, a control mechanism for improving numerical stability is introduced. These two features are incorporated into a software code, whose performance is assessed on transforms from tables as well as from actual applications. It is shown that even w","authors_text":"Benedict Dingfelder, J.A.C. Weideman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-09T09:54:48Z","title":"An improved Talbot method for numerical Laplace transform inversion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2505","kind":"arxiv","version":3},"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:a0493c3a62a5f8a1355281c7d7ec05d720f187d7022491b2fcf9220951477465","target":"record","created_at":"2026-05-18T02:48:26Z","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":"bd870d03c2f0e4ee99681f45aa2033328ebd13eb43593c8dd812b7d8927a2717","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-09T09:54:48Z","title_canon_sha256":"e9abc7fba00b6294e893bddb7b813d7d77e41a20b4cedc2fc235e5b6bda60fbc"},"schema_version":"1.0","source":{"id":"1304.2505","kind":"arxiv","version":3}},"canonical_sha256":"37a0130f6a685e03598b33af219af70c332607850c80a0023b42a83700aaf761","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37a0130f6a685e03598b33af219af70c332607850c80a0023b42a83700aaf761","first_computed_at":"2026-05-18T02:48:26.125229Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:26.125229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NCuCEkl4cW0EUcZEHaM68k6nCVu0Xg4XYC5FaoEIy3uXsK/L1S9dhy1ybzDotTFGKBcEbcMbQ+e49KZ5IWuLAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:26.125731Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.2505","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0493c3a62a5f8a1355281c7d7ec05d720f187d7022491b2fcf9220951477465","sha256:cda0075a13dc4e94f470f4d1be8f4ec29dc9c42110be8be0ba43a8e3b5f27ee2"],"state_sha256":"38f56be157a7380ac043545abc0ae93eb5164620f9239938685f1db01eb99491"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5IYYFGslgXDNQ6vosg5fnDKCvw+Mpqop4uNZ1OdyS6ZQfXVuOhbWgBBLv0CaBMQZfefeKWygu14AcSFJJqH3BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T14:16:08.431222Z","bundle_sha256":"26033e69e5c13078fa16464219b084e7672c1a790befc08dda7eea4f80933527"}}