{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:TTFPNBZY5IIJDF4XWOQO2G25V5","short_pith_number":"pith:TTFPNBZY","canonical_record":{"source":{"id":"1008.2759","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-08-16T20:00:08Z","cross_cats_sorted":[],"title_canon_sha256":"0560d0a8fe23b721b06fbb636ec3f14c69736a49d3d1e6872774116729cd0f69","abstract_canon_sha256":"dde2512b8d15d7daefcab5e51b11f89ed1c0be58d974e812e1d68a5dc1fe5649"},"schema_version":"1.0"},"canonical_sha256":"9ccaf68738ea10919797b3a0ed1b5daf56e168ea81bb983229ba651df51c8c26","source":{"kind":"arxiv","id":"1008.2759","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2759","created_at":"2026-05-18T03:57:50Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2759v2","created_at":"2026-05-18T03:57:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2759","created_at":"2026-05-18T03:57:50Z"},{"alias_kind":"pith_short_12","alias_value":"TTFPNBZY5IIJ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"TTFPNBZY5IIJDF4X","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"TTFPNBZY","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:TTFPNBZY5IIJDF4XWOQO2G25V5","target":"record","payload":{"canonical_record":{"source":{"id":"1008.2759","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-08-16T20:00:08Z","cross_cats_sorted":[],"title_canon_sha256":"0560d0a8fe23b721b06fbb636ec3f14c69736a49d3d1e6872774116729cd0f69","abstract_canon_sha256":"dde2512b8d15d7daefcab5e51b11f89ed1c0be58d974e812e1d68a5dc1fe5649"},"schema_version":"1.0"},"canonical_sha256":"9ccaf68738ea10919797b3a0ed1b5daf56e168ea81bb983229ba651df51c8c26","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:50.723445Z","signature_b64":"AB39LlBpiBvWZQeLsnBZSh0zZxVi0pBmrXXG5L0GkjFKfD7Dyot/rEknmZ1x3qucasgacDwVeWWURpjfBp1+CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ccaf68738ea10919797b3a0ed1b5daf56e168ea81bb983229ba651df51c8c26","last_reissued_at":"2026-05-18T03:57:50.722660Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:50.722660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.2759","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":"2026-05-18T03:57:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nO2tpNAElG78N48oLZFUTZOIdiJ9G+kBYXsN9EIN40+XVbK1Qt3wpdGvLfMwJX/lZTQdigQ5avsk/YfWjocFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:48:09.986722Z"},"content_sha256":"d6dfcad87115cebd63fbb4240490319218cd85eb96c097b6029176ae4833a819","schema_version":"1.0","event_id":"sha256:d6dfcad87115cebd63fbb4240490319218cd85eb96c097b6029176ae4833a819"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:TTFPNBZY5IIJDF4XWOQO2G25V5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"1-loop matching and NNLL resummation for all partonic 2 to 2 processes in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Matthew D. Schwartz, Randall Kelley","submitted_at":"2010-08-16T20:00:08Z","abstract_excerpt":"The Wilson Coefficients for all 4-parton operators which arise in matching QCD to Soft-Collinear Effective Theory (SCET) are computed at 1-loop. Any dijet observable calculated in SCET beyond leading order will require these results. The Wilson coefficients are separated by spin and color, although most applications will involve only the spin-averaged hard functions. The anomalous dimensions for the Wilson coefficients are given to 2-loop order, and the renormalization group equations are solved explicitly. This will allow for analytical resummation of dijet observables to next-to-next-to-lead"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2759","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":"2026-05-18T03:57:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZRbR3Qb6ZG7zOW3RgKet32wV06klhU5olhPD1ebifgP9QdISfxAoGCN1cEN63ktIa7ipoDyeneMv7HHOIb2yAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:48:09.987590Z"},"content_sha256":"6ac104ca750b6c64a82136343d0cafd9342ae434a3c9dc760dd38887b828dca9","schema_version":"1.0","event_id":"sha256:6ac104ca750b6c64a82136343d0cafd9342ae434a3c9dc760dd38887b828dca9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TTFPNBZY5IIJDF4XWOQO2G25V5/bundle.json","state_url":"https://pith.science/pith/TTFPNBZY5IIJDF4XWOQO2G25V5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TTFPNBZY5IIJDF4XWOQO2G25V5/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":"2026-05-25T16:48:09Z","links":{"resolver":"https://pith.science/pith/TTFPNBZY5IIJDF4XWOQO2G25V5","bundle":"https://pith.science/pith/TTFPNBZY5IIJDF4XWOQO2G25V5/bundle.json","state":"https://pith.science/pith/TTFPNBZY5IIJDF4XWOQO2G25V5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TTFPNBZY5IIJDF4XWOQO2G25V5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TTFPNBZY5IIJDF4XWOQO2G25V5","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":"dde2512b8d15d7daefcab5e51b11f89ed1c0be58d974e812e1d68a5dc1fe5649","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-08-16T20:00:08Z","title_canon_sha256":"0560d0a8fe23b721b06fbb636ec3f14c69736a49d3d1e6872774116729cd0f69"},"schema_version":"1.0","source":{"id":"1008.2759","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.2759","created_at":"2026-05-18T03:57:50Z"},{"alias_kind":"arxiv_version","alias_value":"1008.2759v2","created_at":"2026-05-18T03:57:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2759","created_at":"2026-05-18T03:57:50Z"},{"alias_kind":"pith_short_12","alias_value":"TTFPNBZY5IIJ","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"TTFPNBZY5IIJDF4X","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"TTFPNBZY","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:6ac104ca750b6c64a82136343d0cafd9342ae434a3c9dc760dd38887b828dca9","target":"graph","created_at":"2026-05-18T03:57:50Z","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":"The Wilson Coefficients for all 4-parton operators which arise in matching QCD to Soft-Collinear Effective Theory (SCET) are computed at 1-loop. Any dijet observable calculated in SCET beyond leading order will require these results. The Wilson coefficients are separated by spin and color, although most applications will involve only the spin-averaged hard functions. The anomalous dimensions for the Wilson coefficients are given to 2-loop order, and the renormalization group equations are solved explicitly. This will allow for analytical resummation of dijet observables to next-to-next-to-lead","authors_text":"Matthew D. Schwartz, Randall Kelley","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-08-16T20:00:08Z","title":"1-loop matching and NNLL resummation for all partonic 2 to 2 processes in QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2759","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:d6dfcad87115cebd63fbb4240490319218cd85eb96c097b6029176ae4833a819","target":"record","created_at":"2026-05-18T03:57:50Z","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":"dde2512b8d15d7daefcab5e51b11f89ed1c0be58d974e812e1d68a5dc1fe5649","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-08-16T20:00:08Z","title_canon_sha256":"0560d0a8fe23b721b06fbb636ec3f14c69736a49d3d1e6872774116729cd0f69"},"schema_version":"1.0","source":{"id":"1008.2759","kind":"arxiv","version":2}},"canonical_sha256":"9ccaf68738ea10919797b3a0ed1b5daf56e168ea81bb983229ba651df51c8c26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ccaf68738ea10919797b3a0ed1b5daf56e168ea81bb983229ba651df51c8c26","first_computed_at":"2026-05-18T03:57:50.722660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:50.722660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AB39LlBpiBvWZQeLsnBZSh0zZxVi0pBmrXXG5L0GkjFKfD7Dyot/rEknmZ1x3qucasgacDwVeWWURpjfBp1+CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:50.723445Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.2759","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6dfcad87115cebd63fbb4240490319218cd85eb96c097b6029176ae4833a819","sha256:6ac104ca750b6c64a82136343d0cafd9342ae434a3c9dc760dd38887b828dca9"],"state_sha256":"c597469c3aee285e30b0a234c942051ce84bfc7aedfd46f7cfec3549d95fd05a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ql4sl7ISWLyVDulpIGqb/QZW6yaRKzCBbquwqzBQcVwmBifSBSFuMriBuZCvlSSsZuJMR6XYUfsn3j19IS1OAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:48:09.991922Z","bundle_sha256":"220b2bb398fdc0ca447ac9b3f882d03e7d7fc972e459fcc59bed4f4908943674"}}