{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:KVYDWZWYVH27HFNYUUMXX3ZBKI","short_pith_number":"pith:KVYDWZWY","canonical_record":{"source":{"id":"1204.4120","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-18T16:13:22Z","cross_cats_sorted":[],"title_canon_sha256":"ae60b528157ad5f436b7d26fac30e7f0ef8b494c76b73ef8c61f89e48c46a98d","abstract_canon_sha256":"998c9ff7644a9511ad039f4ea3eb55a15b1623e313e0f1cbf96ec5b3c65ae52e"},"schema_version":"1.0"},"canonical_sha256":"55703b66d8a9f5f395b8a5197bef215237098f23312f12fbde0c6b5f1dc8804a","source":{"kind":"arxiv","id":"1204.4120","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4120","created_at":"2026-05-18T03:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4120v1","created_at":"2026-05-18T03:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4120","created_at":"2026-05-18T03:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"KVYDWZWYVH27","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KVYDWZWYVH27HFNY","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KVYDWZWY","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:KVYDWZWYVH27HFNYUUMXX3ZBKI","target":"record","payload":{"canonical_record":{"source":{"id":"1204.4120","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-18T16:13:22Z","cross_cats_sorted":[],"title_canon_sha256":"ae60b528157ad5f436b7d26fac30e7f0ef8b494c76b73ef8c61f89e48c46a98d","abstract_canon_sha256":"998c9ff7644a9511ad039f4ea3eb55a15b1623e313e0f1cbf96ec5b3c65ae52e"},"schema_version":"1.0"},"canonical_sha256":"55703b66d8a9f5f395b8a5197bef215237098f23312f12fbde0c6b5f1dc8804a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:30.772414Z","signature_b64":"WpUt/Ia5hIWmjTY3CuzKRsfgoPOsFoFigTh3oNngb0VVzqsN9wB8tA76B2euEeBxR4t9Tbbsg+yCoQkfnQJJBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55703b66d8a9f5f395b8a5197bef215237098f23312f12fbde0c6b5f1dc8804a","last_reissued_at":"2026-05-18T03:31:30.771720Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:30.771720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.4120","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":"2026-05-18T03:31:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kBtMIW/6j4uURCEiMNGPBatwBJ9AW5TuiZeUCnyxYSQCXmGYeqzGRkeb/uh9noF+5b1LultiSTeqLtnWrqcIAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:52:32.759102Z"},"content_sha256":"55fdb3830ccef67eb5cb78367bca62313a966d13b9e3ba4f231dfad2f75ee884","schema_version":"1.0","event_id":"sha256:55fdb3830ccef67eb5cb78367bca62313a966d13b9e3ba4f231dfad2f75ee884"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:KVYDWZWYVH27HFNYUUMXX3ZBKI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One loop integrals reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hao-Ran Chang, Yi Sun","submitted_at":"2012-04-18T16:13:22Z","abstract_excerpt":"By further examining the symmetry of external momenta and masses in Feynman integrals, we fulfilled the method proposed by Battistel and Dallabona, and showed that recursion relations in this method can be applied to simplify Feynman integrals directly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4120","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":""},"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":"2026-05-18T03:31:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5LyDIhqPFrSKPix3m1sgyTCA9w7FLhR7ddvvx6zw4ZWZ9YLyfqPsTdVUg0b+iY8ldWRBnSSRt3WS6nX+1GzOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:52:32.759458Z"},"content_sha256":"0e7f31b5761d76c6fc07e4fa0cf0c2edc2495e66a7731deb53bea56f469130f4","schema_version":"1.0","event_id":"sha256:0e7f31b5761d76c6fc07e4fa0cf0c2edc2495e66a7731deb53bea56f469130f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KVYDWZWYVH27HFNYUUMXX3ZBKI/bundle.json","state_url":"https://pith.science/pith/KVYDWZWYVH27HFNYUUMXX3ZBKI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KVYDWZWYVH27HFNYUUMXX3ZBKI/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":"2026-06-08T23:52:32Z","links":{"resolver":"https://pith.science/pith/KVYDWZWYVH27HFNYUUMXX3ZBKI","bundle":"https://pith.science/pith/KVYDWZWYVH27HFNYUUMXX3ZBKI/bundle.json","state":"https://pith.science/pith/KVYDWZWYVH27HFNYUUMXX3ZBKI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KVYDWZWYVH27HFNYUUMXX3ZBKI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KVYDWZWYVH27HFNYUUMXX3ZBKI","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":"998c9ff7644a9511ad039f4ea3eb55a15b1623e313e0f1cbf96ec5b3c65ae52e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-18T16:13:22Z","title_canon_sha256":"ae60b528157ad5f436b7d26fac30e7f0ef8b494c76b73ef8c61f89e48c46a98d"},"schema_version":"1.0","source":{"id":"1204.4120","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4120","created_at":"2026-05-18T03:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4120v1","created_at":"2026-05-18T03:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4120","created_at":"2026-05-18T03:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"KVYDWZWYVH27","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KVYDWZWYVH27HFNY","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KVYDWZWY","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:0e7f31b5761d76c6fc07e4fa0cf0c2edc2495e66a7731deb53bea56f469130f4","target":"graph","created_at":"2026-05-18T03:31:30Z","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":"By further examining the symmetry of external momenta and masses in Feynman integrals, we fulfilled the method proposed by Battistel and Dallabona, and showed that recursion relations in this method can be applied to simplify Feynman integrals directly.","authors_text":"Hao-Ran Chang, Yi Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-18T16:13:22Z","title":"One loop integrals reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4120","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":"sha256:55fdb3830ccef67eb5cb78367bca62313a966d13b9e3ba4f231dfad2f75ee884","target":"record","created_at":"2026-05-18T03:31:30Z","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":"998c9ff7644a9511ad039f4ea3eb55a15b1623e313e0f1cbf96ec5b3c65ae52e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-18T16:13:22Z","title_canon_sha256":"ae60b528157ad5f436b7d26fac30e7f0ef8b494c76b73ef8c61f89e48c46a98d"},"schema_version":"1.0","source":{"id":"1204.4120","kind":"arxiv","version":1}},"canonical_sha256":"55703b66d8a9f5f395b8a5197bef215237098f23312f12fbde0c6b5f1dc8804a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55703b66d8a9f5f395b8a5197bef215237098f23312f12fbde0c6b5f1dc8804a","first_computed_at":"2026-05-18T03:31:30.771720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:30.771720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WpUt/Ia5hIWmjTY3CuzKRsfgoPOsFoFigTh3oNngb0VVzqsN9wB8tA76B2euEeBxR4t9Tbbsg+yCoQkfnQJJBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:30.772414Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.4120","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55fdb3830ccef67eb5cb78367bca62313a966d13b9e3ba4f231dfad2f75ee884","sha256:0e7f31b5761d76c6fc07e4fa0cf0c2edc2495e66a7731deb53bea56f469130f4"],"state_sha256":"b2b887725681cabdd87167d5120ba52b4a5dfb7dbcf68fd1495d4c8767921cc8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OJ8SrppW5YCLVtwwQ8IXh2296x+BOAy+2Up0menHFXjUI1ZFdh7DVJnHEGynJOwlwgxSJBrDZZFu5eo7XDMdBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:52:32.761296Z","bundle_sha256":"d06069e841f9d4648369ff28095972cb52d240b2553db2b84e789bf53669f15b"}}