{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7NEDRNOX4LXDU7DMMAPT4IHMDF","short_pith_number":"pith:7NEDRNOX","canonical_record":{"source":{"id":"1507.00047","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-30T21:49:28Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"ddc7c2cd25f767cd76e66318f3e295dc6f184a3f9c65561cce48d232da3094eb","abstract_canon_sha256":"2a3d5f9513710b6d5896ef0f208e47f258eb4d2d570b94b3b24d2f114bd8c576"},"schema_version":"1.0"},"canonical_sha256":"fb4838b5d7e2ee3a7c6c601f3e20ec1943c1dbac1ccca7248970ff29c4f15b47","source":{"kind":"arxiv","id":"1507.00047","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.00047","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"arxiv_version","alias_value":"1507.00047v2","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.00047","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"pith_short_12","alias_value":"7NEDRNOX4LXD","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7NEDRNOX4LXDU7DM","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7NEDRNOX","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7NEDRNOX4LXDU7DMMAPT4IHMDF","target":"record","payload":{"canonical_record":{"source":{"id":"1507.00047","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-30T21:49:28Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"ddc7c2cd25f767cd76e66318f3e295dc6f184a3f9c65561cce48d232da3094eb","abstract_canon_sha256":"2a3d5f9513710b6d5896ef0f208e47f258eb4d2d570b94b3b24d2f114bd8c576"},"schema_version":"1.0"},"canonical_sha256":"fb4838b5d7e2ee3a7c6c601f3e20ec1943c1dbac1ccca7248970ff29c4f15b47","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:29.213606Z","signature_b64":"MQdgKLIPjNzkey1052koSKHoLjtbGSYLBIOLkrNY7LLGnPc4w3lIO6kM01rhNppZtlMmRbQ7A023lj1UFDEfAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb4838b5d7e2ee3a7c6c601f3e20ec1943c1dbac1ccca7248970ff29c4f15b47","last_reissued_at":"2026-05-18T01:01:29.213170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:29.213170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.00047","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XsxsdI2M6N48CHg2rZK+JtF7gEg2WVil3D9Fy5M1DbokrAxT3M6jHR1bt7Hkykwe99lQ/d8l6L6hMLeZkAmdCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T12:17:25.733386Z"},"content_sha256":"289e0ea46906fa1690a9eb46893cf4630848b8fe85d01ad9e6dc32e92886b7be","schema_version":"1.0","event_id":"sha256:289e0ea46906fa1690a9eb46893cf4630848b8fe85d01ad9e6dc32e92886b7be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7NEDRNOX4LXDU7DMMAPT4IHMDF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-loop corrections to the soft anomalous dimension in multi-leg scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Claude Duhr, Einan Gardi, {\\O}yvind Almelid","submitted_at":"2015-06-30T21:49:28Z","abstract_excerpt":"We present the three-loop result for the soft anomalous dimension governing long-distance singularities of multi-leg gauge-theory scattering amplitudes of massless partons. We compute all contributing webs involving semi-infinite Wilson lines at three loops and obtain the complete three-loop correction to the dipole formula. We find that non-dipole corrections appear already for three coloured partons, where the correction is a constant without kinematic dependence. Kinematic dependence appears only through conformally-invariant cross ratios for four coloured partons or more, and the result ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.00047","kind":"arxiv","version":2},"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":"2026-05-18T01:01:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l/trViZBWpbvl0boaxgDdreHpLS0QwbyxJ+A7XAoCsLhQzkQ2hDfD3ZcZ4Vcet/3eUb5mabiMwbf+zVpnBSJBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T12:17:25.733749Z"},"content_sha256":"8cc2c156a9dee1e7d04028262eb442fdd9c87068b751914b20b9e6ddd457fd3f","schema_version":"1.0","event_id":"sha256:8cc2c156a9dee1e7d04028262eb442fdd9c87068b751914b20b9e6ddd457fd3f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7NEDRNOX4LXDU7DMMAPT4IHMDF/bundle.json","state_url":"https://pith.science/pith/7NEDRNOX4LXDU7DMMAPT4IHMDF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7NEDRNOX4LXDU7DMMAPT4IHMDF/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":"2026-05-21T12:17:25Z","links":{"resolver":"https://pith.science/pith/7NEDRNOX4LXDU7DMMAPT4IHMDF","bundle":"https://pith.science/pith/7NEDRNOX4LXDU7DMMAPT4IHMDF/bundle.json","state":"https://pith.science/pith/7NEDRNOX4LXDU7DMMAPT4IHMDF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7NEDRNOX4LXDU7DMMAPT4IHMDF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7NEDRNOX4LXDU7DMMAPT4IHMDF","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":"2a3d5f9513710b6d5896ef0f208e47f258eb4d2d570b94b3b24d2f114bd8c576","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-30T21:49:28Z","title_canon_sha256":"ddc7c2cd25f767cd76e66318f3e295dc6f184a3f9c65561cce48d232da3094eb"},"schema_version":"1.0","source":{"id":"1507.00047","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.00047","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"arxiv_version","alias_value":"1507.00047v2","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.00047","created_at":"2026-05-18T01:01:29Z"},{"alias_kind":"pith_short_12","alias_value":"7NEDRNOX4LXD","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7NEDRNOX4LXDU7DM","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7NEDRNOX","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:8cc2c156a9dee1e7d04028262eb442fdd9c87068b751914b20b9e6ddd457fd3f","target":"graph","created_at":"2026-05-18T01:01:29Z","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 present the three-loop result for the soft anomalous dimension governing long-distance singularities of multi-leg gauge-theory scattering amplitudes of massless partons. We compute all contributing webs involving semi-infinite Wilson lines at three loops and obtain the complete three-loop correction to the dipole formula. We find that non-dipole corrections appear already for three coloured partons, where the correction is a constant without kinematic dependence. Kinematic dependence appears only through conformally-invariant cross ratios for four coloured partons or more, and the result ca","authors_text":"Claude Duhr, Einan Gardi, {\\O}yvind Almelid","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-30T21:49:28Z","title":"Three-loop corrections to the soft anomalous dimension in multi-leg scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.00047","kind":"arxiv","version":2},"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":"sha256:289e0ea46906fa1690a9eb46893cf4630848b8fe85d01ad9e6dc32e92886b7be","target":"record","created_at":"2026-05-18T01:01:29Z","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":"2a3d5f9513710b6d5896ef0f208e47f258eb4d2d570b94b3b24d2f114bd8c576","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-30T21:49:28Z","title_canon_sha256":"ddc7c2cd25f767cd76e66318f3e295dc6f184a3f9c65561cce48d232da3094eb"},"schema_version":"1.0","source":{"id":"1507.00047","kind":"arxiv","version":2}},"canonical_sha256":"fb4838b5d7e2ee3a7c6c601f3e20ec1943c1dbac1ccca7248970ff29c4f15b47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb4838b5d7e2ee3a7c6c601f3e20ec1943c1dbac1ccca7248970ff29c4f15b47","first_computed_at":"2026-05-18T01:01:29.213170Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:29.213170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MQdgKLIPjNzkey1052koSKHoLjtbGSYLBIOLkrNY7LLGnPc4w3lIO6kM01rhNppZtlMmRbQ7A023lj1UFDEfAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:29.213606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.00047","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:289e0ea46906fa1690a9eb46893cf4630848b8fe85d01ad9e6dc32e92886b7be","sha256:8cc2c156a9dee1e7d04028262eb442fdd9c87068b751914b20b9e6ddd457fd3f"],"state_sha256":"fdec06b873fd4a50b9e1d82f0cc3b325d4a9a1021cfcf943a46407ff5f83791a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mUC3NSXm3S1i3J1Aj7/JA3Ldc5GBDgYM39jWoJONExJ+liSkK/2zQPuTn0f9qmoYvpsK3iPi3lHbgY5HsdyrAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T12:17:25.735817Z","bundle_sha256":"628041e2688ce3d5bbdd3c38c542ebda42f0162169bceaaf1851f3dfd45b7783"}}