{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:DKGIBYIAN66YTZ6WM6EFIS44RS","short_pith_number":"pith:DKGIBYIA","canonical_record":{"source":{"id":"0907.1769","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-10T10:00:48Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"367a5af7bc40441334d8838af91a0fd4eadd0d8a4394404bdf002c7530b729df","abstract_canon_sha256":"e6fdc93446caed03675689009071992a7416428b58906a4dd4acb8a7e3e077a9"},"schema_version":"1.0"},"canonical_sha256":"1a8c80e1006fbd89e7d66788544b9c8ca87c7d3f7f197964d301697b71681a98","source":{"kind":"arxiv","id":"0907.1769","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.1769","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"0907.1769v3","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.1769","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"DKGIBYIAN66Y","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DKGIBYIAN66YTZ6W","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DKGIBYIA","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:DKGIBYIAN66YTZ6WM6EFIS44RS","target":"record","payload":{"canonical_record":{"source":{"id":"0907.1769","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-10T10:00:48Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"367a5af7bc40441334d8838af91a0fd4eadd0d8a4394404bdf002c7530b729df","abstract_canon_sha256":"e6fdc93446caed03675689009071992a7416428b58906a4dd4acb8a7e3e077a9"},"schema_version":"1.0"},"canonical_sha256":"1a8c80e1006fbd89e7d66788544b9c8ca87c7d3f7f197964d301697b71681a98","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:46.649731Z","signature_b64":"gyD+SZ65ALI9RjlS+M3Dwvsflrtw5wUjFj1AjefIcEZ8MKstlSQPSTh9e4Nlx/hZOjoaFQUUP20WmqXMAAXMBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a8c80e1006fbd89e7d66788544b9c8ca87c7d3f7f197964d301697b71681a98","last_reissued_at":"2026-05-18T04:23:46.649081Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:46.649081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.1769","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":"2026-05-18T04:23:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BeeXnyf/HAc+yBerLDYxwbKgeHdavoBTscO5W8Apm27Q8DzRFau4HtX5OueC2cBXuw/joflWE35RCa3vo7WrCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T04:07:30.268007Z"},"content_sha256":"d67cd2340dfbe6a5d961dad4d8cd7a362ce1e127860c0ce8f15d2c8c58e86922","schema_version":"1.0","event_id":"sha256:d67cd2340dfbe6a5d961dad4d8cd7a362ce1e127860c0ce8f15d2c8c58e86922"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:DKGIBYIAN66YTZ6WM6EFIS44RS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"External leg amputation in conformal invariant three-point function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Indrajit Mitra","submitted_at":"2009-07-10T10:00:48Z","abstract_excerpt":"Amputation of external legs is carried out explicitly for the conformal invariant three-point function involving two spinors and one vector field. Our results are consistent with the general result that amputing an external leg in a conformal invariant Green function replaces a field by its conformal partner in the Green function. A new star-triangle relation, involving two spinors and one vector field, is derived and used for the calculation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.1769","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":"2026-05-18T04:23:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"49M8ExX6M59phzBsnxcbhorjfxdvm09+8s6QRSCQ2BPa2KQySSkx4y3dgGzd9gIJdx4D/Oa1A7jGArQ2dVE1Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T04:07:30.268464Z"},"content_sha256":"64dc39c9ba1bcd34f75e75cc20c791e93d7331e7f34307c7b13e3045ac414422","schema_version":"1.0","event_id":"sha256:64dc39c9ba1bcd34f75e75cc20c791e93d7331e7f34307c7b13e3045ac414422"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DKGIBYIAN66YTZ6WM6EFIS44RS/bundle.json","state_url":"https://pith.science/pith/DKGIBYIAN66YTZ6WM6EFIS44RS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DKGIBYIAN66YTZ6WM6EFIS44RS/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":"2026-08-13T04:07:30Z","links":{"resolver":"https://pith.science/pith/DKGIBYIAN66YTZ6WM6EFIS44RS","bundle":"https://pith.science/pith/DKGIBYIAN66YTZ6WM6EFIS44RS/bundle.json","state":"https://pith.science/pith/DKGIBYIAN66YTZ6WM6EFIS44RS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DKGIBYIAN66YTZ6WM6EFIS44RS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:DKGIBYIAN66YTZ6WM6EFIS44RS","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":"e6fdc93446caed03675689009071992a7416428b58906a4dd4acb8a7e3e077a9","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-10T10:00:48Z","title_canon_sha256":"367a5af7bc40441334d8838af91a0fd4eadd0d8a4394404bdf002c7530b729df"},"schema_version":"1.0","source":{"id":"0907.1769","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.1769","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"0907.1769v3","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.1769","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"DKGIBYIAN66Y","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DKGIBYIAN66YTZ6W","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DKGIBYIA","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:64dc39c9ba1bcd34f75e75cc20c791e93d7331e7f34307c7b13e3045ac414422","target":"graph","created_at":"2026-05-18T04:23:46Z","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":"Amputation of external legs is carried out explicitly for the conformal invariant three-point function involving two spinors and one vector field. Our results are consistent with the general result that amputing an external leg in a conformal invariant Green function replaces a field by its conformal partner in the Green function. A new star-triangle relation, involving two spinors and one vector field, is derived and used for the calculation.","authors_text":"Indrajit Mitra","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-10T10:00:48Z","title":"External leg amputation in conformal invariant three-point function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.1769","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:d67cd2340dfbe6a5d961dad4d8cd7a362ce1e127860c0ce8f15d2c8c58e86922","target":"record","created_at":"2026-05-18T04:23:46Z","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":"e6fdc93446caed03675689009071992a7416428b58906a4dd4acb8a7e3e077a9","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-10T10:00:48Z","title_canon_sha256":"367a5af7bc40441334d8838af91a0fd4eadd0d8a4394404bdf002c7530b729df"},"schema_version":"1.0","source":{"id":"0907.1769","kind":"arxiv","version":3}},"canonical_sha256":"1a8c80e1006fbd89e7d66788544b9c8ca87c7d3f7f197964d301697b71681a98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a8c80e1006fbd89e7d66788544b9c8ca87c7d3f7f197964d301697b71681a98","first_computed_at":"2026-05-18T04:23:46.649081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:46.649081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gyD+SZ65ALI9RjlS+M3Dwvsflrtw5wUjFj1AjefIcEZ8MKstlSQPSTh9e4Nlx/hZOjoaFQUUP20WmqXMAAXMBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:46.649731Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.1769","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d67cd2340dfbe6a5d961dad4d8cd7a362ce1e127860c0ce8f15d2c8c58e86922","sha256:64dc39c9ba1bcd34f75e75cc20c791e93d7331e7f34307c7b13e3045ac414422"],"state_sha256":"c7dfeb00b3663ce51360248db911cb16ada064c7f827d963f55d930eeea58db9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bnX2CofgV5N1sEVvmTyjrnaR8nqG1m9t+kmKBOWpa262Kgtf4Eca2RWqWuCTrj5SfnNJM2v44VFtSMMSCcv8CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T04:07:30.273750Z","bundle_sha256":"a83b24cd6cc08fceb8504dfe364dae668fb0a4bd71c1bd420d771afc8b793b14"}}