{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:XDIRXUV3ZWKZNIFTCEAZSAWJAT","short_pith_number":"pith:XDIRXUV3","schema_version":"1.0","canonical_sha256":"b8d11bd2bbcd9596a0b311019902c904d735b46df8d4b002d7fda56fb04e683f","source":{"kind":"arxiv","id":"1005.4646","version":1},"attestation_state":"computed","paper":{"title":"Computation of the Soft Anomalous Dimension Matrix in Coordinate Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Alexander Mitov, George Sterman, Ilmo Sung","submitted_at":"2010-05-25T17:51:43Z","abstract_excerpt":"We complete the coordinate space calculation of the three-parton correlation in the two-loop massive soft anomalous dimension matrix. The full answer agrees with the result found previously by a different approach. The coordinate space treatment of renormalized two-loop gluon exchange diagrams exhibits their color symmetries in a transparent fashion. We compare coordinate space calculations of the soft anomalous dimension matrix with massive and massless eikonal lines and examine its nonuniform limit at absolute threshold."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1005.4646","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-05-25T17:51:43Z","cross_cats_sorted":[],"title_canon_sha256":"b42a131e1d56fdee7d7b6bbec1696d42cc72b60c0171f5ca44583be042e56451","abstract_canon_sha256":"fe520ac957d1ad5811c52bf7f61549be2eb55215a1f8ec61c59d502643a56bc9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:59.156998Z","signature_b64":"XvFU8nb5kUxg1S0Hpb/H1iWMvU4xmenODuzvZF4HP/B2tlQ30Kew2sjRBO4Fp5AqWgUPsWF0cxf45seFsgR8Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8d11bd2bbcd9596a0b311019902c904d735b46df8d4b002d7fda56fb04e683f","last_reissued_at":"2026-05-18T04:38:59.156550Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:59.156550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computation of the Soft Anomalous Dimension Matrix in Coordinate Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Alexander Mitov, George Sterman, Ilmo Sung","submitted_at":"2010-05-25T17:51:43Z","abstract_excerpt":"We complete the coordinate space calculation of the three-parton correlation in the two-loop massive soft anomalous dimension matrix. The full answer agrees with the result found previously by a different approach. The coordinate space treatment of renormalized two-loop gluon exchange diagrams exhibits their color symmetries in a transparent fashion. We compare coordinate space calculations of the soft anomalous dimension matrix with massive and massless eikonal lines and examine its nonuniform limit at absolute threshold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4646","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1005.4646","created_at":"2026-05-18T04:38:59.156620+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.4646v1","created_at":"2026-05-18T04:38:59.156620+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4646","created_at":"2026-05-18T04:38:59.156620+00:00"},{"alias_kind":"pith_short_12","alias_value":"XDIRXUV3ZWKZ","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"XDIRXUV3ZWKZNIFT","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"XDIRXUV3","created_at":"2026-05-18T12:26:17.028572+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XDIRXUV3ZWKZNIFTCEAZSAWJAT","json":"https://pith.science/pith/XDIRXUV3ZWKZNIFTCEAZSAWJAT.json","graph_json":"https://pith.science/api/pith-number/XDIRXUV3ZWKZNIFTCEAZSAWJAT/graph.json","events_json":"https://pith.science/api/pith-number/XDIRXUV3ZWKZNIFTCEAZSAWJAT/events.json","paper":"https://pith.science/paper/XDIRXUV3"},"agent_actions":{"view_html":"https://pith.science/pith/XDIRXUV3ZWKZNIFTCEAZSAWJAT","download_json":"https://pith.science/pith/XDIRXUV3ZWKZNIFTCEAZSAWJAT.json","view_paper":"https://pith.science/paper/XDIRXUV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.4646&json=true","fetch_graph":"https://pith.science/api/pith-number/XDIRXUV3ZWKZNIFTCEAZSAWJAT/graph.json","fetch_events":"https://pith.science/api/pith-number/XDIRXUV3ZWKZNIFTCEAZSAWJAT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XDIRXUV3ZWKZNIFTCEAZSAWJAT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XDIRXUV3ZWKZNIFTCEAZSAWJAT/action/storage_attestation","attest_author":"https://pith.science/pith/XDIRXUV3ZWKZNIFTCEAZSAWJAT/action/author_attestation","sign_citation":"https://pith.science/pith/XDIRXUV3ZWKZNIFTCEAZSAWJAT/action/citation_signature","submit_replication":"https://pith.science/pith/XDIRXUV3ZWKZNIFTCEAZSAWJAT/action/replication_record"}},"created_at":"2026-05-18T04:38:59.156620+00:00","updated_at":"2026-05-18T04:38:59.156620+00:00"}