{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ILX2J7JK6BRDFSPH675A2FV5UN","short_pith_number":"pith:ILX2J7JK","canonical_record":{"source":{"id":"2412.19868","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-ph","submitted_at":"2024-12-27T09:27:32Z","cross_cats_sorted":["hep-th","physics.comp-ph"],"title_canon_sha256":"02049fe561aa34f66d579b023a986f7874a839456344f9067079ec4027335f11","abstract_canon_sha256":"4c1ce27526e84acde58b4fc049c0c4f9f8618683691325b51a2c57a7848c1ad3"},"schema_version":"1.0"},"canonical_sha256":"42efa4fd2af06232c9e7f7fa0d16bda37e77c67bc0a51d376238bb1f4a55e910","source":{"kind":"arxiv","id":"2412.19868","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.19868","created_at":"2026-07-05T09:55:16Z"},{"alias_kind":"arxiv_version","alias_value":"2412.19868v1","created_at":"2026-07-05T09:55:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.19868","created_at":"2026-07-05T09:55:16Z"},{"alias_kind":"pith_short_12","alias_value":"ILX2J7JK6BRD","created_at":"2026-07-05T09:55:16Z"},{"alias_kind":"pith_short_16","alias_value":"ILX2J7JK6BRDFSPH","created_at":"2026-07-05T09:55:16Z"},{"alias_kind":"pith_short_8","alias_value":"ILX2J7JK","created_at":"2026-07-05T09:55:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ILX2J7JK6BRDFSPH675A2FV5UN","target":"record","payload":{"canonical_record":{"source":{"id":"2412.19868","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-ph","submitted_at":"2024-12-27T09:27:32Z","cross_cats_sorted":["hep-th","physics.comp-ph"],"title_canon_sha256":"02049fe561aa34f66d579b023a986f7874a839456344f9067079ec4027335f11","abstract_canon_sha256":"4c1ce27526e84acde58b4fc049c0c4f9f8618683691325b51a2c57a7848c1ad3"},"schema_version":"1.0"},"canonical_sha256":"42efa4fd2af06232c9e7f7fa0d16bda37e77c67bc0a51d376238bb1f4a55e910","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:55:16.676188Z","signature_b64":"l6tCD7qfuwXntsysF/eiuj9pdQyePRnmGUAhS9HCUbqJ4LubuAw8QMCV8aBD9+GYD7HIoEaQ5JYtJBCgA4ntCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42efa4fd2af06232c9e7f7fa0d16bda37e77c67bc0a51d376238bb1f4a55e910","last_reissued_at":"2026-07-05T09:55:16.675731Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:55:16.675731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.19868","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:55:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7dIreGq2tTCa71ind5HqwV+WeD26QMqRqpLAU6P2gC/QDtjX1rl1k1ooYqI67cGHaqvk/ua5ehXdbXFhOcK8Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:42:44.350650Z"},"content_sha256":"94c4e8daf61ae573349dd9d15034256f6ddd30b93c7f44af5f77747213ccec2f","schema_version":"1.0","event_id":"sha256:94c4e8daf61ae573349dd9d15034256f6ddd30b93c7f44af5f77747213ccec2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ILX2J7JK6BRDFSPH675A2FV5UN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rational-function interpolation from p-adic evaluations in scattering amplitude calculations","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["hep-th","physics.comp-ph"],"primary_cat":"hep-ph","authors_text":"Herschel A. Chawdhry","submitted_at":"2024-12-27T09:27:32Z","abstract_excerpt":"Numerical interpolation techniques are widely employed for calculating large rational functions in scattering amplitude computations. It has been observed in recent years that these rational functions greatly simplify upon partial fractioning. In this conference proceedings paper, based on the article [H. A. Chawdhry, Phys. Rev. D 110, 056028 (2024)], a technique is presented to interpolate such rational functions directly in partial-fractioned form, from evaluations at special integer points chosen for their properties under a p-adic absolute value. It is shown that the technique can require "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.19868","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.19868/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:55:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kNovEzdCM4PlGcgT070BLoXoIn8/whT/poFfftmFq+9/OZQAIbuMNkSqSTSZauef9KGSCbxCjt0Z6UYdvvBKDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:42:44.351332Z"},"content_sha256":"e28aefa8bf7c62c21aef02a5e79d56d993dbbc96b1804e96ab3fb9f5173a4496","schema_version":"1.0","event_id":"sha256:e28aefa8bf7c62c21aef02a5e79d56d993dbbc96b1804e96ab3fb9f5173a4496"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ILX2J7JK6BRDFSPH675A2FV5UN/bundle.json","state_url":"https://pith.science/pith/ILX2J7JK6BRDFSPH675A2FV5UN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ILX2J7JK6BRDFSPH675A2FV5UN/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":"2026-08-11T11:42:44Z","links":{"resolver":"https://pith.science/pith/ILX2J7JK6BRDFSPH675A2FV5UN","bundle":"https://pith.science/pith/ILX2J7JK6BRDFSPH675A2FV5UN/bundle.json","state":"https://pith.science/pith/ILX2J7JK6BRDFSPH675A2FV5UN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ILX2J7JK6BRDFSPH675A2FV5UN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ILX2J7JK6BRDFSPH675A2FV5UN","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":"4c1ce27526e84acde58b4fc049c0c4f9f8618683691325b51a2c57a7848c1ad3","cross_cats_sorted":["hep-th","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-ph","submitted_at":"2024-12-27T09:27:32Z","title_canon_sha256":"02049fe561aa34f66d579b023a986f7874a839456344f9067079ec4027335f11"},"schema_version":"1.0","source":{"id":"2412.19868","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.19868","created_at":"2026-07-05T09:55:16Z"},{"alias_kind":"arxiv_version","alias_value":"2412.19868v1","created_at":"2026-07-05T09:55:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.19868","created_at":"2026-07-05T09:55:16Z"},{"alias_kind":"pith_short_12","alias_value":"ILX2J7JK6BRD","created_at":"2026-07-05T09:55:16Z"},{"alias_kind":"pith_short_16","alias_value":"ILX2J7JK6BRDFSPH","created_at":"2026-07-05T09:55:16Z"},{"alias_kind":"pith_short_8","alias_value":"ILX2J7JK","created_at":"2026-07-05T09:55:16Z"}],"graph_snapshots":[{"event_id":"sha256:e28aefa8bf7c62c21aef02a5e79d56d993dbbc96b1804e96ab3fb9f5173a4496","target":"graph","created_at":"2026-07-05T09:55:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.19868/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Numerical interpolation techniques are widely employed for calculating large rational functions in scattering amplitude computations. It has been observed in recent years that these rational functions greatly simplify upon partial fractioning. In this conference proceedings paper, based on the article [H. A. Chawdhry, Phys. Rev. D 110, 056028 (2024)], a technique is presented to interpolate such rational functions directly in partial-fractioned form, from evaluations at special integer points chosen for their properties under a p-adic absolute value. It is shown that the technique can require ","authors_text":"Herschel A. Chawdhry","cross_cats":["hep-th","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-ph","submitted_at":"2024-12-27T09:27:32Z","title":"Rational-function interpolation from p-adic evaluations in scattering amplitude calculations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.19868","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":"sha256:94c4e8daf61ae573349dd9d15034256f6ddd30b93c7f44af5f77747213ccec2f","target":"record","created_at":"2026-07-05T09:55:16Z","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":"4c1ce27526e84acde58b4fc049c0c4f9f8618683691325b51a2c57a7848c1ad3","cross_cats_sorted":["hep-th","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-ph","submitted_at":"2024-12-27T09:27:32Z","title_canon_sha256":"02049fe561aa34f66d579b023a986f7874a839456344f9067079ec4027335f11"},"schema_version":"1.0","source":{"id":"2412.19868","kind":"arxiv","version":1}},"canonical_sha256":"42efa4fd2af06232c9e7f7fa0d16bda37e77c67bc0a51d376238bb1f4a55e910","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42efa4fd2af06232c9e7f7fa0d16bda37e77c67bc0a51d376238bb1f4a55e910","first_computed_at":"2026-07-05T09:55:16.675731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:55:16.675731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l6tCD7qfuwXntsysF/eiuj9pdQyePRnmGUAhS9HCUbqJ4LubuAw8QMCV8aBD9+GYD7HIoEaQ5JYtJBCgA4ntCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:55:16.676188Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.19868","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94c4e8daf61ae573349dd9d15034256f6ddd30b93c7f44af5f77747213ccec2f","sha256:e28aefa8bf7c62c21aef02a5e79d56d993dbbc96b1804e96ab3fb9f5173a4496"],"state_sha256":"cc075cc9e36bcb3cd51e7898c980d7bc1d2ab128707bd60bfa5b9a7521cf654e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"20Q2gkTanAd3E+gvHOQPO0rSOxBM2BcFHwCCpDITvInMvqZcFzRV8X4RGNGjAYwRk2Brf/uAfaPhQzFoY2aKDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T11:42:44.358094Z","bundle_sha256":"770245079cf1ca11dec7d5a93fc39306568b8bdd3b5fa48c28437ce1e70eca1c"}}