{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZS7KYFN3FNNJDEGYRNH3ZQGX6K","short_pith_number":"pith:ZS7KYFN3","canonical_record":{"source":{"id":"1209.0339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-09-03T13:15:49Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"aa92e80b41495e279575437624fd9ec56b55bd0a4f1bd7a4c36f99fdb1ff0f02","abstract_canon_sha256":"5273d4790f8685f6803c950c7c7cc78386db4cd4ac50c22f699cab2fd6c8004e"},"schema_version":"1.0"},"canonical_sha256":"ccbeac15bb2b5a9190d88b4fbcc0d7f28bd85c0fa577def1dd68518d3b543df7","source":{"kind":"arxiv","id":"1209.0339","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.0339","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1209.0339v1","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0339","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"ZS7KYFN3FNNJ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZS7KYFN3FNNJDEGY","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZS7KYFN3","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZS7KYFN3FNNJDEGYRNH3ZQGX6K","target":"record","payload":{"canonical_record":{"source":{"id":"1209.0339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-09-03T13:15:49Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"aa92e80b41495e279575437624fd9ec56b55bd0a4f1bd7a4c36f99fdb1ff0f02","abstract_canon_sha256":"5273d4790f8685f6803c950c7c7cc78386db4cd4ac50c22f699cab2fd6c8004e"},"schema_version":"1.0"},"canonical_sha256":"ccbeac15bb2b5a9190d88b4fbcc0d7f28bd85c0fa577def1dd68518d3b543df7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:48.062269Z","signature_b64":"gVXd0kbZSt+2XQwZE0gZ0aiDL/F1gIhF1oj626fjm7oNK5C2OO7bZn4oq5dV7BmKrA0dOwYeHMDelM9z0iZzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ccbeac15bb2b5a9190d88b4fbcc0d7f28bd85c0fa577def1dd68518d3b543df7","last_reissued_at":"2026-05-18T01:54:48.061526Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:48.061526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.0339","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":"2026-05-18T01:54:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GuYlFe55Sr2k70E7CdqN/i6LtNadc8E2FUE7Z1d0sXmDmI8m8Tgh6EORie7SrQIQ0x4O2uIe6GYuBs5EBCvLCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:26:24.390468Z"},"content_sha256":"148acd7b0f74c9829b8e51ed1ed611712f2fdcfc1f08fbd991d16b42c025955b","schema_version":"1.0","event_id":"sha256:148acd7b0f74c9829b8e51ed1ed611712f2fdcfc1f08fbd991d16b42c025955b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZS7KYFN3FNNJDEGYRNH3ZQGX6K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Dimensional Recurrence and Analyticity Method for Multicomponent Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Roman N. Lee, Vladimir A. Smirnov","submitted_at":"2012-09-03T13:15:49Z","abstract_excerpt":"We consider the application of the DRA method to the case of several master integrals in a given sector. We establish a connection between the homogeneous part of dimensional recurrence and maximal unitarity cuts of the corresponding integrals: a maximally cut master integral appears to be a solution of the homogeneous part of the dimensional recurrence relation. This observation allows us to make a necessary step of the DRA method, the construction of the general solution of the homogeneous equation, which, in this case, is a coupled system of difference equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0339","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":"2026-05-18T01:54:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yhki2inETuK8y12dyhWkkTCNGIIO7iVs8btiOPPbIy0mfq9koH/aDqyVTD6czthGx2+5zJll88rv9MbxLOP3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:26:24.390824Z"},"content_sha256":"51c8e713fde6ac6b078aec83e0d0f1bacef61de9ae4988b31bab010607de4c97","schema_version":"1.0","event_id":"sha256:51c8e713fde6ac6b078aec83e0d0f1bacef61de9ae4988b31bab010607de4c97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZS7KYFN3FNNJDEGYRNH3ZQGX6K/bundle.json","state_url":"https://pith.science/pith/ZS7KYFN3FNNJDEGYRNH3ZQGX6K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZS7KYFN3FNNJDEGYRNH3ZQGX6K/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":"2026-06-03T14:26:24Z","links":{"resolver":"https://pith.science/pith/ZS7KYFN3FNNJDEGYRNH3ZQGX6K","bundle":"https://pith.science/pith/ZS7KYFN3FNNJDEGYRNH3ZQGX6K/bundle.json","state":"https://pith.science/pith/ZS7KYFN3FNNJDEGYRNH3ZQGX6K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZS7KYFN3FNNJDEGYRNH3ZQGX6K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZS7KYFN3FNNJDEGYRNH3ZQGX6K","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":"5273d4790f8685f6803c950c7c7cc78386db4cd4ac50c22f699cab2fd6c8004e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-09-03T13:15:49Z","title_canon_sha256":"aa92e80b41495e279575437624fd9ec56b55bd0a4f1bd7a4c36f99fdb1ff0f02"},"schema_version":"1.0","source":{"id":"1209.0339","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.0339","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1209.0339v1","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0339","created_at":"2026-05-18T01:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"ZS7KYFN3FNNJ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZS7KYFN3FNNJDEGY","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZS7KYFN3","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:51c8e713fde6ac6b078aec83e0d0f1bacef61de9ae4988b31bab010607de4c97","target":"graph","created_at":"2026-05-18T01:54:48Z","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":"We consider the application of the DRA method to the case of several master integrals in a given sector. We establish a connection between the homogeneous part of dimensional recurrence and maximal unitarity cuts of the corresponding integrals: a maximally cut master integral appears to be a solution of the homogeneous part of the dimensional recurrence relation. This observation allows us to make a necessary step of the DRA method, the construction of the general solution of the homogeneous equation, which, in this case, is a coupled system of difference equations.","authors_text":"Roman N. Lee, Vladimir A. Smirnov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-09-03T13:15:49Z","title":"The Dimensional Recurrence and Analyticity Method for Multicomponent Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0339","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":"sha256:148acd7b0f74c9829b8e51ed1ed611712f2fdcfc1f08fbd991d16b42c025955b","target":"record","created_at":"2026-05-18T01:54:48Z","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":"5273d4790f8685f6803c950c7c7cc78386db4cd4ac50c22f699cab2fd6c8004e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-09-03T13:15:49Z","title_canon_sha256":"aa92e80b41495e279575437624fd9ec56b55bd0a4f1bd7a4c36f99fdb1ff0f02"},"schema_version":"1.0","source":{"id":"1209.0339","kind":"arxiv","version":1}},"canonical_sha256":"ccbeac15bb2b5a9190d88b4fbcc0d7f28bd85c0fa577def1dd68518d3b543df7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccbeac15bb2b5a9190d88b4fbcc0d7f28bd85c0fa577def1dd68518d3b543df7","first_computed_at":"2026-05-18T01:54:48.061526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:48.061526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gVXd0kbZSt+2XQwZE0gZ0aiDL/F1gIhF1oj626fjm7oNK5C2OO7bZn4oq5dV7BmKrA0dOwYeHMDelM9z0iZzAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:48.062269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.0339","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:148acd7b0f74c9829b8e51ed1ed611712f2fdcfc1f08fbd991d16b42c025955b","sha256:51c8e713fde6ac6b078aec83e0d0f1bacef61de9ae4988b31bab010607de4c97"],"state_sha256":"439f5d055c32c1173f5ba9b1b478fe2e5b4b6e32f3972d35e9f1e9656af0bfac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Ytc5D7doLHtZOMbZpeBe5xk3wagSI9kDuM0vVonSSqFPHxUTqgfSvmIZx4EFszcv2O0wQMcB7OYR8lqUWFlAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:26:24.392818Z","bundle_sha256":"b45fc12c54ebf21d26bcb34967456d08ac006705366637b3b5ad9cb78018af86"}}