{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:RRNNRFLPZVEIGF466F5WQXPATI","short_pith_number":"pith:RRNNRFLP","canonical_record":{"source":{"id":"2008.01744","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-08-04T18:02:40Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c24e4339b9f8badb73cfc1010a65d2e21e091616929c0d78229f32a81fed6e8e","abstract_canon_sha256":"66df3adc5235b22cbee7a522ae08d18db2a68a3b524cea76868458208b5c6704"},"schema_version":"1.0"},"canonical_sha256":"8c5ad8956fcd4883179ef17b685de09a33f3336abd36d4345e49ce738098fc0d","source":{"kind":"arxiv","id":"2008.01744","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.01744","created_at":"2026-07-05T01:24:54Z"},{"alias_kind":"arxiv_version","alias_value":"2008.01744v1","created_at":"2026-07-05T01:24:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.01744","created_at":"2026-07-05T01:24:54Z"},{"alias_kind":"pith_short_12","alias_value":"RRNNRFLPZVEI","created_at":"2026-07-05T01:24:54Z"},{"alias_kind":"pith_short_16","alias_value":"RRNNRFLPZVEIGF46","created_at":"2026-07-05T01:24:54Z"},{"alias_kind":"pith_short_8","alias_value":"RRNNRFLP","created_at":"2026-07-05T01:24:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:RRNNRFLPZVEIGF466F5WQXPATI","target":"record","payload":{"canonical_record":{"source":{"id":"2008.01744","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-08-04T18:02:40Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c24e4339b9f8badb73cfc1010a65d2e21e091616929c0d78229f32a81fed6e8e","abstract_canon_sha256":"66df3adc5235b22cbee7a522ae08d18db2a68a3b524cea76868458208b5c6704"},"schema_version":"1.0"},"canonical_sha256":"8c5ad8956fcd4883179ef17b685de09a33f3336abd36d4345e49ce738098fc0d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:24:54.467714Z","signature_b64":"h+OnSFT+yuvjiZtnvyCxRbStF2AkFLzEBzI6mOhh5cCHhlvycOFOKnSRTWxzaT9dwKCjoQoapddEXJ7YUiLnBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c5ad8956fcd4883179ef17b685de09a33f3336abd36d4345e49ce738098fc0d","last_reissued_at":"2026-07-05T01:24:54.467225Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:24:54.467225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.01744","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":"2026-07-05T01:24:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HDDk6ZiA+NjTuVenTIXzwiDBvsNZDOhUAnx6Du7w7gdYbZtGHwc9hbboZfllpsrzRiMMKl+vPWqi82CEHIjOAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T03:34:30.547142Z"},"content_sha256":"5d161d8d9f8e8a68d7fb92780bd0791ee5115a2ed1f47cb57a245f0b3941aefd","schema_version":"1.0","event_id":"sha256:5d161d8d9f8e8a68d7fb92780bd0791ee5115a2ed1f47cb57a245f0b3941aefd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:RRNNRFLPZVEIGF466F5WQXPATI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Calculation of transverse momentum dependent distributions beyond the leading power","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Alexey Vladimirov, Valentin Moos","submitted_at":"2020-08-04T18:02:40Z","abstract_excerpt":"We compute the contribution of twist-2 and twist-3 parton distribution functions to the small-$b$ expansion for transverse momentum dependent (TMD) distributions at all powers of $b$. The computation is done by the twist-decomposition method based on the spinor formalism for all eight quark TMD distributions. The newly computed terms are accompanied by the prefactor $(M^2b^2)^n$ and represent the target-mass corrections to the resummed cross-section. For the first time, a non-trivial expression for the pretzelosity distribution is derived."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.01744","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2008.01744/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:24:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"04Id/pUktZh52HJvcsVSuDQ0NbEPrn54JwxWrNblhTLZMejVHy0aieRa4dzKuAmGzBF5jCq/2eHkiGisBcsyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T03:34:30.547635Z"},"content_sha256":"184475b53abad405ff70c051b06b83619100f52af2c545134922ca4690a872ad","schema_version":"1.0","event_id":"sha256:184475b53abad405ff70c051b06b83619100f52af2c545134922ca4690a872ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RRNNRFLPZVEIGF466F5WQXPATI/bundle.json","state_url":"https://pith.science/pith/RRNNRFLPZVEIGF466F5WQXPATI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RRNNRFLPZVEIGF466F5WQXPATI/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":"2026-08-07T03:34:30Z","links":{"resolver":"https://pith.science/pith/RRNNRFLPZVEIGF466F5WQXPATI","bundle":"https://pith.science/pith/RRNNRFLPZVEIGF466F5WQXPATI/bundle.json","state":"https://pith.science/pith/RRNNRFLPZVEIGF466F5WQXPATI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RRNNRFLPZVEIGF466F5WQXPATI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:RRNNRFLPZVEIGF466F5WQXPATI","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":"66df3adc5235b22cbee7a522ae08d18db2a68a3b524cea76868458208b5c6704","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-08-04T18:02:40Z","title_canon_sha256":"c24e4339b9f8badb73cfc1010a65d2e21e091616929c0d78229f32a81fed6e8e"},"schema_version":"1.0","source":{"id":"2008.01744","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.01744","created_at":"2026-07-05T01:24:54Z"},{"alias_kind":"arxiv_version","alias_value":"2008.01744v1","created_at":"2026-07-05T01:24:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.01744","created_at":"2026-07-05T01:24:54Z"},{"alias_kind":"pith_short_12","alias_value":"RRNNRFLPZVEI","created_at":"2026-07-05T01:24:54Z"},{"alias_kind":"pith_short_16","alias_value":"RRNNRFLPZVEIGF46","created_at":"2026-07-05T01:24:54Z"},{"alias_kind":"pith_short_8","alias_value":"RRNNRFLP","created_at":"2026-07-05T01:24:54Z"}],"graph_snapshots":[{"event_id":"sha256:184475b53abad405ff70c051b06b83619100f52af2c545134922ca4690a872ad","target":"graph","created_at":"2026-07-05T01:24:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2008.01744/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the contribution of twist-2 and twist-3 parton distribution functions to the small-$b$ expansion for transverse momentum dependent (TMD) distributions at all powers of $b$. The computation is done by the twist-decomposition method based on the spinor formalism for all eight quark TMD distributions. The newly computed terms are accompanied by the prefactor $(M^2b^2)^n$ and represent the target-mass corrections to the resummed cross-section. For the first time, a non-trivial expression for the pretzelosity distribution is derived.","authors_text":"Alexey Vladimirov, Valentin Moos","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-08-04T18:02:40Z","title":"Calculation of transverse momentum dependent distributions beyond the leading power"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.01744","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":"sha256:5d161d8d9f8e8a68d7fb92780bd0791ee5115a2ed1f47cb57a245f0b3941aefd","target":"record","created_at":"2026-07-05T01:24:54Z","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":"66df3adc5235b22cbee7a522ae08d18db2a68a3b524cea76868458208b5c6704","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-08-04T18:02:40Z","title_canon_sha256":"c24e4339b9f8badb73cfc1010a65d2e21e091616929c0d78229f32a81fed6e8e"},"schema_version":"1.0","source":{"id":"2008.01744","kind":"arxiv","version":1}},"canonical_sha256":"8c5ad8956fcd4883179ef17b685de09a33f3336abd36d4345e49ce738098fc0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c5ad8956fcd4883179ef17b685de09a33f3336abd36d4345e49ce738098fc0d","first_computed_at":"2026-07-05T01:24:54.467225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:24:54.467225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h+OnSFT+yuvjiZtnvyCxRbStF2AkFLzEBzI6mOhh5cCHhlvycOFOKnSRTWxzaT9dwKCjoQoapddEXJ7YUiLnBg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:24:54.467714Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.01744","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d161d8d9f8e8a68d7fb92780bd0791ee5115a2ed1f47cb57a245f0b3941aefd","sha256:184475b53abad405ff70c051b06b83619100f52af2c545134922ca4690a872ad"],"state_sha256":"a3ad92c4fbc108825359f4316f78dbdf5744475d68337f5d48054456fb505fb2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"khUua5s38G1tQQEJS5pamtEY8YwcJquaxn6hVBXufSxTNtCJRi82uGXBZudDzHWbVrIvlfepO3WiHg+RfhmAAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T03:34:30.551788Z","bundle_sha256":"143c8c72c71af4e230cfb9c0cb0f9a4e8b466053230052bfe704db1c6433f43c"}}