{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:L5VTRRTAPYG3J2SKCMFN3ACDTJ","short_pith_number":"pith:L5VTRRTA","canonical_record":{"source":{"id":"1811.05177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-13T09:30:23Z","cross_cats_sorted":[],"title_canon_sha256":"6f2223b12e3f58cfa7f0c4f86281c4295f33205ca90e168c40da624675710d9d","abstract_canon_sha256":"e1baad4e7e9e591519061bfde8ee3764c74391d7f4754d143f8c77ea16f32449"},"schema_version":"1.0"},"canonical_sha256":"5f6b38c6607e0db4ea4a130add80439a7f7d3e23f8ac252b50f3eb8cf88d161f","source":{"kind":"arxiv","id":"1811.05177","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.05177","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"arxiv_version","alias_value":"1811.05177v1","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05177","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"pith_short_12","alias_value":"L5VTRRTAPYG3","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"L5VTRRTAPYG3J2SK","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"L5VTRRTA","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:L5VTRRTAPYG3J2SKCMFN3ACDTJ","target":"record","payload":{"canonical_record":{"source":{"id":"1811.05177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-13T09:30:23Z","cross_cats_sorted":[],"title_canon_sha256":"6f2223b12e3f58cfa7f0c4f86281c4295f33205ca90e168c40da624675710d9d","abstract_canon_sha256":"e1baad4e7e9e591519061bfde8ee3764c74391d7f4754d143f8c77ea16f32449"},"schema_version":"1.0"},"canonical_sha256":"5f6b38c6607e0db4ea4a130add80439a7f7d3e23f8ac252b50f3eb8cf88d161f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:46.695067Z","signature_b64":"NGCMG6nrSGsFwmJMeTstG8u2JUaV1VZ/roaRmc/+oaCM7rnSq4gerOgnKjv3601+OTe8ULI3WBk9lqPJohZsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f6b38c6607e0db4ea4a130add80439a7f7d3e23f8ac252b50f3eb8cf88d161f","last_reissued_at":"2026-05-18T00:00:46.694654Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:46.694654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.05177","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":"2026-05-18T00:00:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8iXH2LG8iq5fWQ8UnVRRgaXKWPblw/6Kox6/ufcuA2+d6AgYDv2Fj9oDrZPMYUgr7w4bfaR+p0KKd9WNyQ+nAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:12:44.654629Z"},"content_sha256":"345a78dae500608d0e2f69ead6750975a4b7be7b0dfebca5d003bb932b3fdcb4","schema_version":"1.0","event_id":"sha256:345a78dae500608d0e2f69ead6750975a4b7be7b0dfebca5d003bb932b3fdcb4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:L5VTRRTAPYG3J2SKCMFN3ACDTJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equivalence of Coefficients Extraction of One-loop Master Integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Xiang Lv, Yang An, Yi Li, Zhongjie Huang, Zi-ang Hu","submitted_at":"2018-11-13T09:30:23Z","abstract_excerpt":"Now there are many different methods to do the PV-reduction for the one loop amplitudes. Two of them are unitarity cut method and generalized unitarity cut method. In this short paper, we present an explicit connection of these two methods, especially how the extractions of triangle and bubble coefficients are equivalent to each other."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05177","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":"2026-05-18T00:00:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JPo/AD/lczh+tBeMQQmsPIahrJCqBHZeOnzUiP8cdX6z5vgPlm9eX6gX+KyOrPyiHRPMBTqoUigKuH0Qyt9HAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T17:12:44.655239Z"},"content_sha256":"de0df17fe2f5d5bca0b638c146cb78e5fdda12b7215715277e55bc13c8fa0005","schema_version":"1.0","event_id":"sha256:de0df17fe2f5d5bca0b638c146cb78e5fdda12b7215715277e55bc13c8fa0005"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L5VTRRTAPYG3J2SKCMFN3ACDTJ/bundle.json","state_url":"https://pith.science/pith/L5VTRRTAPYG3J2SKCMFN3ACDTJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L5VTRRTAPYG3J2SKCMFN3ACDTJ/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":"2026-06-04T17:12:44Z","links":{"resolver":"https://pith.science/pith/L5VTRRTAPYG3J2SKCMFN3ACDTJ","bundle":"https://pith.science/pith/L5VTRRTAPYG3J2SKCMFN3ACDTJ/bundle.json","state":"https://pith.science/pith/L5VTRRTAPYG3J2SKCMFN3ACDTJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L5VTRRTAPYG3J2SKCMFN3ACDTJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:L5VTRRTAPYG3J2SKCMFN3ACDTJ","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":"e1baad4e7e9e591519061bfde8ee3764c74391d7f4754d143f8c77ea16f32449","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-13T09:30:23Z","title_canon_sha256":"6f2223b12e3f58cfa7f0c4f86281c4295f33205ca90e168c40da624675710d9d"},"schema_version":"1.0","source":{"id":"1811.05177","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.05177","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"arxiv_version","alias_value":"1811.05177v1","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05177","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"pith_short_12","alias_value":"L5VTRRTAPYG3","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"L5VTRRTAPYG3J2SK","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"L5VTRRTA","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:de0df17fe2f5d5bca0b638c146cb78e5fdda12b7215715277e55bc13c8fa0005","target":"graph","created_at":"2026-05-18T00:00:46Z","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":"Now there are many different methods to do the PV-reduction for the one loop amplitudes. Two of them are unitarity cut method and generalized unitarity cut method. In this short paper, we present an explicit connection of these two methods, especially how the extractions of triangle and bubble coefficients are equivalent to each other.","authors_text":"Xiang Lv, Yang An, Yi Li, Zhongjie Huang, Zi-ang Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-13T09:30:23Z","title":"Equivalence of Coefficients Extraction of One-loop Master Integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05177","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":"sha256:345a78dae500608d0e2f69ead6750975a4b7be7b0dfebca5d003bb932b3fdcb4","target":"record","created_at":"2026-05-18T00:00:46Z","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":"e1baad4e7e9e591519061bfde8ee3764c74391d7f4754d143f8c77ea16f32449","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-13T09:30:23Z","title_canon_sha256":"6f2223b12e3f58cfa7f0c4f86281c4295f33205ca90e168c40da624675710d9d"},"schema_version":"1.0","source":{"id":"1811.05177","kind":"arxiv","version":1}},"canonical_sha256":"5f6b38c6607e0db4ea4a130add80439a7f7d3e23f8ac252b50f3eb8cf88d161f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f6b38c6607e0db4ea4a130add80439a7f7d3e23f8ac252b50f3eb8cf88d161f","first_computed_at":"2026-05-18T00:00:46.694654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:46.694654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NGCMG6nrSGsFwmJMeTstG8u2JUaV1VZ/roaRmc/+oaCM7rnSq4gerOgnKjv3601+OTe8ULI3WBk9lqPJohZsDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:46.695067Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.05177","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:345a78dae500608d0e2f69ead6750975a4b7be7b0dfebca5d003bb932b3fdcb4","sha256:de0df17fe2f5d5bca0b638c146cb78e5fdda12b7215715277e55bc13c8fa0005"],"state_sha256":"b0a919be1e60190e7e7d8ff988b57e70b0bf836f3b8f6a34e5c09e25c1d6c953"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9i5xoTY/3Vc63Nxnbi23+pzIkYTGwUy4PsULLsJWTT1ZEKVIOWHbFbV39nhTOVMjRKG1Q7DuQe7tM790UYebCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T17:12:44.658274Z","bundle_sha256":"415968ff143610ce0b155398613a051b7ebcdac215bfd1ef0db58044092ff32e"}}