{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:JTW2LPKESWXX33PABGEFJ7N36C","short_pith_number":"pith:JTW2LPKE","canonical_record":{"source":{"id":"2310.02231","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-10-03T17:41:46Z","cross_cats_sorted":[],"title_canon_sha256":"8f649930c29202a1b153bc921362d1817fcb5c450f68d72c8823fc1c1a36ae95","abstract_canon_sha256":"adcdac31f3da315e66cd332ab975cb79cd060cf293169db98a8d4b1b0cf3b87f"},"schema_version":"1.0"},"canonical_sha256":"4ceda5bd4495af7dede0098854fdbbf090216aac554a3d98a0252cb4e194e805","source":{"kind":"arxiv","id":"2310.02231","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.02231","created_at":"2026-07-05T06:56:51Z"},{"alias_kind":"arxiv_version","alias_value":"2310.02231v1","created_at":"2026-07-05T06:56:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.02231","created_at":"2026-07-05T06:56:51Z"},{"alias_kind":"pith_short_12","alias_value":"JTW2LPKESWXX","created_at":"2026-07-05T06:56:51Z"},{"alias_kind":"pith_short_16","alias_value":"JTW2LPKESWXX33PA","created_at":"2026-07-05T06:56:51Z"},{"alias_kind":"pith_short_8","alias_value":"JTW2LPKE","created_at":"2026-07-05T06:56:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:JTW2LPKESWXX33PABGEFJ7N36C","target":"record","payload":{"canonical_record":{"source":{"id":"2310.02231","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-10-03T17:41:46Z","cross_cats_sorted":[],"title_canon_sha256":"8f649930c29202a1b153bc921362d1817fcb5c450f68d72c8823fc1c1a36ae95","abstract_canon_sha256":"adcdac31f3da315e66cd332ab975cb79cd060cf293169db98a8d4b1b0cf3b87f"},"schema_version":"1.0"},"canonical_sha256":"4ceda5bd4495af7dede0098854fdbbf090216aac554a3d98a0252cb4e194e805","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:56:51.671823Z","signature_b64":"gnz0j6cCpie6yhMRVMYjZLYkHj8Co0XzIKLU9z5jm7nKl658eEKPWeSKCqosvoyLm+bZpHIjQztUPvaW2+0lBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ceda5bd4495af7dede0098854fdbbf090216aac554a3d98a0252cb4e194e805","last_reissued_at":"2026-07-05T06:56:51.671358Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:56:51.671358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.02231","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":"2026-07-05T06:56:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y5Z23KOqen3Yzga5qKUXv01o4n4pOqe8AADaNX8Ec7MvMJt3lQ0Ts8dwDnRkDoPQpFH7rk1JXIvZ5B2U6IldDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T11:48:49.358470Z"},"content_sha256":"85dfd8ed7fbd7676c691b581e8edd598b9383d881b6c167b13d3d6c7e754640b","schema_version":"1.0","event_id":"sha256:85dfd8ed7fbd7676c691b581e8edd598b9383d881b6c167b13d3d6c7e754640b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:JTW2LPKESWXX33PABGEFJ7N36C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin-Spin Coupling at Small $x$: Worm-Gear and Pretzelosity TMDs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M. Gabriel Santiago","submitted_at":"2023-10-03T17:41:46Z","abstract_excerpt":"We study the small-$x$ asymptotics of the leading-twist quark transverse momentum dependent parton distribution functions (TMDs) which encode couplings between the polarization of the quarks and that of their parent hadron, with at least one of the two polarizations in the transverse direction: the two worm-gear TMDs $g_{1T}$ and $h_{1L}^{\\perp}$, and the pretzelosity $h_{1T}^{\\perp}$. We apply the recently developed Light Cone Operator Treatment, finding that in the flavor non-singlet sector all three TMDs reduce in the small-$x$ limit to previously known polarized dipole amplitudes, and thus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.02231","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/2310.02231/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":"2026-07-05T06:56:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Vah8bwOXwkWzkxVFQCr5OK2q5G5Y92VQFTU3QNIAcPFiMdCswsDe5uE1BOuALlgogf62MwAJ1a0vGBWWg3oAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T11:48:49.359026Z"},"content_sha256":"ae39f6a752ddd2c02256ba5a52453c9b7c8c4463490aa519a1c724bd48ab362f","schema_version":"1.0","event_id":"sha256:ae39f6a752ddd2c02256ba5a52453c9b7c8c4463490aa519a1c724bd48ab362f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JTW2LPKESWXX33PABGEFJ7N36C/bundle.json","state_url":"https://pith.science/pith/JTW2LPKESWXX33PABGEFJ7N36C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JTW2LPKESWXX33PABGEFJ7N36C/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":"2026-08-10T11:48:49Z","links":{"resolver":"https://pith.science/pith/JTW2LPKESWXX33PABGEFJ7N36C","bundle":"https://pith.science/pith/JTW2LPKESWXX33PABGEFJ7N36C/bundle.json","state":"https://pith.science/pith/JTW2LPKESWXX33PABGEFJ7N36C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JTW2LPKESWXX33PABGEFJ7N36C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JTW2LPKESWXX33PABGEFJ7N36C","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":"adcdac31f3da315e66cd332ab975cb79cd060cf293169db98a8d4b1b0cf3b87f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-10-03T17:41:46Z","title_canon_sha256":"8f649930c29202a1b153bc921362d1817fcb5c450f68d72c8823fc1c1a36ae95"},"schema_version":"1.0","source":{"id":"2310.02231","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.02231","created_at":"2026-07-05T06:56:51Z"},{"alias_kind":"arxiv_version","alias_value":"2310.02231v1","created_at":"2026-07-05T06:56:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.02231","created_at":"2026-07-05T06:56:51Z"},{"alias_kind":"pith_short_12","alias_value":"JTW2LPKESWXX","created_at":"2026-07-05T06:56:51Z"},{"alias_kind":"pith_short_16","alias_value":"JTW2LPKESWXX33PA","created_at":"2026-07-05T06:56:51Z"},{"alias_kind":"pith_short_8","alias_value":"JTW2LPKE","created_at":"2026-07-05T06:56:51Z"}],"graph_snapshots":[{"event_id":"sha256:ae39f6a752ddd2c02256ba5a52453c9b7c8c4463490aa519a1c724bd48ab362f","target":"graph","created_at":"2026-07-05T06:56:51Z","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/2310.02231/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the small-$x$ asymptotics of the leading-twist quark transverse momentum dependent parton distribution functions (TMDs) which encode couplings between the polarization of the quarks and that of their parent hadron, with at least one of the two polarizations in the transverse direction: the two worm-gear TMDs $g_{1T}$ and $h_{1L}^{\\perp}$, and the pretzelosity $h_{1T}^{\\perp}$. We apply the recently developed Light Cone Operator Treatment, finding that in the flavor non-singlet sector all three TMDs reduce in the small-$x$ limit to previously known polarized dipole amplitudes, and thus","authors_text":"M. Gabriel Santiago","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-10-03T17:41:46Z","title":"Spin-Spin Coupling at Small $x$: Worm-Gear and Pretzelosity TMDs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.02231","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":"sha256:85dfd8ed7fbd7676c691b581e8edd598b9383d881b6c167b13d3d6c7e754640b","target":"record","created_at":"2026-07-05T06:56:51Z","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":"adcdac31f3da315e66cd332ab975cb79cd060cf293169db98a8d4b1b0cf3b87f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-10-03T17:41:46Z","title_canon_sha256":"8f649930c29202a1b153bc921362d1817fcb5c450f68d72c8823fc1c1a36ae95"},"schema_version":"1.0","source":{"id":"2310.02231","kind":"arxiv","version":1}},"canonical_sha256":"4ceda5bd4495af7dede0098854fdbbf090216aac554a3d98a0252cb4e194e805","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ceda5bd4495af7dede0098854fdbbf090216aac554a3d98a0252cb4e194e805","first_computed_at":"2026-07-05T06:56:51.671358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:56:51.671358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gnz0j6cCpie6yhMRVMYjZLYkHj8Co0XzIKLU9z5jm7nKl658eEKPWeSKCqosvoyLm+bZpHIjQztUPvaW2+0lBw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:56:51.671823Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.02231","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85dfd8ed7fbd7676c691b581e8edd598b9383d881b6c167b13d3d6c7e754640b","sha256:ae39f6a752ddd2c02256ba5a52453c9b7c8c4463490aa519a1c724bd48ab362f"],"state_sha256":"836a656b03c25d7b03eb5fc16a4e52b7944639b36c1458d71f8590d3903a1e67"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SCifwSE8H2USYPv7kuV7Uk61qF7FoJdU+54XSa+AiPWVnTtazn7Sp+04Y0VsiBn+waxlVk7I43UA3CebHln/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T11:48:49.364307Z","bundle_sha256":"a83ad6d535781804805a7daf8d9b5fff9dd8fdfaec5dda1838a66047b51f3c3a"}}