{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:GZR54UY4Y4JZPSV64ZYZ5GPXV5","short_pith_number":"pith:GZR54UY4","canonical_record":{"source":{"id":"2506.21013","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-06-26T05:10:00Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"a59a8a632a3a31ecd9c8029e9d7d5eb7deaa55d8f48d0f0e766752ec6e7ec1aa","abstract_canon_sha256":"ef0926faa6e8667a0cf42665aec38cbbab21bb5b7ac7a2d1877826ab331560bc"},"schema_version":"1.0"},"canonical_sha256":"3663de531cc71397cabee6719e99f7af6c5e8186368886296eb44eaf2155a7ed","source":{"kind":"arxiv","id":"2506.21013","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.21013","created_at":"2026-07-05T11:27:37Z"},{"alias_kind":"arxiv_version","alias_value":"2506.21013v1","created_at":"2026-07-05T11:27:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.21013","created_at":"2026-07-05T11:27:37Z"},{"alias_kind":"pith_short_12","alias_value":"GZR54UY4Y4JZ","created_at":"2026-07-05T11:27:37Z"},{"alias_kind":"pith_short_16","alias_value":"GZR54UY4Y4JZPSV6","created_at":"2026-07-05T11:27:37Z"},{"alias_kind":"pith_short_8","alias_value":"GZR54UY4","created_at":"2026-07-05T11:27:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:GZR54UY4Y4JZPSV64ZYZ5GPXV5","target":"record","payload":{"canonical_record":{"source":{"id":"2506.21013","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-06-26T05:10:00Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"a59a8a632a3a31ecd9c8029e9d7d5eb7deaa55d8f48d0f0e766752ec6e7ec1aa","abstract_canon_sha256":"ef0926faa6e8667a0cf42665aec38cbbab21bb5b7ac7a2d1877826ab331560bc"},"schema_version":"1.0"},"canonical_sha256":"3663de531cc71397cabee6719e99f7af6c5e8186368886296eb44eaf2155a7ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:27:37.802458Z","signature_b64":"F5b96sGPBiEjiFjnUCjE2PaWu+C/AdLD0V4iMTM8Ni83FWE91x8qzd0REnZKRGwuOtYetpIxqe+O6HPVcPwlAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3663de531cc71397cabee6719e99f7af6c5e8186368886296eb44eaf2155a7ed","last_reissued_at":"2026-07-05T11:27:37.802008Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:27:37.802008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.21013","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":"2026-07-05T11:27:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mWYDItBZRML2NMBEEl0/rS7/JAyeLryYryGbWB7Et9sgMiwJxuqu3tNwrTmH3zDWZARaU+eZBoE0xmNOVJm9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T03:59:54.577710Z"},"content_sha256":"3ed9a63aa24571c1b540504613049a68a717eacf7f371335f720700da5a9ff4c","schema_version":"1.0","event_id":"sha256:3ed9a63aa24571c1b540504613049a68a717eacf7f371335f720700da5a9ff4c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:GZR54UY4Y4JZPSV64ZYZ5GPXV5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chiral-odd generalized parton distributions in the large-$N_{c}$ limit of QCD: Next-to-leading-order contributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"June-Young Kim","submitted_at":"2025-06-26T05:10:00Z","abstract_excerpt":"We investigate the nucleon's chiral-odd generalized parton distribution functions (GPDs) in the large-$N_c$ limit of QCD. Extending previous work on the leading-order contribution in the $1/N_c$ expansion, we focus on the next-to-leading-order contributions and provide a complete set of flavor-singlet and flavor-non-singlet chiral-odd GPDs. This study includes the derivation of the spin-flavor structure of the baryon matrix element of the chiral-odd operator, the proof of the polynomiality property and associated sum rules, and numerical estimates based on the gradient expansion. The spin-flav"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.21013","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/2506.21013/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":"2026-07-05T11:27:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zaJ8XOBaBUzRpsqsGo1O+bQNO9we2c3xMxy3NGH3JzsEjhXW5LGDr4uL702BIaeduhmsdqes24AOm+4LbnssAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T03:59:54.578107Z"},"content_sha256":"e8903ff43336588a49ecdc9d889331c91cdf5ac6a31de648fd1ea2f23b042c34","schema_version":"1.0","event_id":"sha256:e8903ff43336588a49ecdc9d889331c91cdf5ac6a31de648fd1ea2f23b042c34"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZR54UY4Y4JZPSV64ZYZ5GPXV5/bundle.json","state_url":"https://pith.science/pith/GZR54UY4Y4JZPSV64ZYZ5GPXV5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZR54UY4Y4JZPSV64ZYZ5GPXV5/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":"2026-08-07T03:59:54Z","links":{"resolver":"https://pith.science/pith/GZR54UY4Y4JZPSV64ZYZ5GPXV5","bundle":"https://pith.science/pith/GZR54UY4Y4JZPSV64ZYZ5GPXV5/bundle.json","state":"https://pith.science/pith/GZR54UY4Y4JZPSV64ZYZ5GPXV5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZR54UY4Y4JZPSV64ZYZ5GPXV5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GZR54UY4Y4JZPSV64ZYZ5GPXV5","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":"ef0926faa6e8667a0cf42665aec38cbbab21bb5b7ac7a2d1877826ab331560bc","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-06-26T05:10:00Z","title_canon_sha256":"a59a8a632a3a31ecd9c8029e9d7d5eb7deaa55d8f48d0f0e766752ec6e7ec1aa"},"schema_version":"1.0","source":{"id":"2506.21013","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.21013","created_at":"2026-07-05T11:27:37Z"},{"alias_kind":"arxiv_version","alias_value":"2506.21013v1","created_at":"2026-07-05T11:27:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.21013","created_at":"2026-07-05T11:27:37Z"},{"alias_kind":"pith_short_12","alias_value":"GZR54UY4Y4JZ","created_at":"2026-07-05T11:27:37Z"},{"alias_kind":"pith_short_16","alias_value":"GZR54UY4Y4JZPSV6","created_at":"2026-07-05T11:27:37Z"},{"alias_kind":"pith_short_8","alias_value":"GZR54UY4","created_at":"2026-07-05T11:27:37Z"}],"graph_snapshots":[{"event_id":"sha256:e8903ff43336588a49ecdc9d889331c91cdf5ac6a31de648fd1ea2f23b042c34","target":"graph","created_at":"2026-07-05T11:27:37Z","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/2506.21013/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the nucleon's chiral-odd generalized parton distribution functions (GPDs) in the large-$N_c$ limit of QCD. Extending previous work on the leading-order contribution in the $1/N_c$ expansion, we focus on the next-to-leading-order contributions and provide a complete set of flavor-singlet and flavor-non-singlet chiral-odd GPDs. This study includes the derivation of the spin-flavor structure of the baryon matrix element of the chiral-odd operator, the proof of the polynomiality property and associated sum rules, and numerical estimates based on the gradient expansion. The spin-flav","authors_text":"June-Young Kim","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-06-26T05:10:00Z","title":"Chiral-odd generalized parton distributions in the large-$N_{c}$ limit of QCD: Next-to-leading-order contributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.21013","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":"sha256:3ed9a63aa24571c1b540504613049a68a717eacf7f371335f720700da5a9ff4c","target":"record","created_at":"2026-07-05T11:27:37Z","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":"ef0926faa6e8667a0cf42665aec38cbbab21bb5b7ac7a2d1877826ab331560bc","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-06-26T05:10:00Z","title_canon_sha256":"a59a8a632a3a31ecd9c8029e9d7d5eb7deaa55d8f48d0f0e766752ec6e7ec1aa"},"schema_version":"1.0","source":{"id":"2506.21013","kind":"arxiv","version":1}},"canonical_sha256":"3663de531cc71397cabee6719e99f7af6c5e8186368886296eb44eaf2155a7ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3663de531cc71397cabee6719e99f7af6c5e8186368886296eb44eaf2155a7ed","first_computed_at":"2026-07-05T11:27:37.802008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:27:37.802008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F5b96sGPBiEjiFjnUCjE2PaWu+C/AdLD0V4iMTM8Ni83FWE91x8qzd0REnZKRGwuOtYetpIxqe+O6HPVcPwlAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:27:37.802458Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.21013","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ed9a63aa24571c1b540504613049a68a717eacf7f371335f720700da5a9ff4c","sha256:e8903ff43336588a49ecdc9d889331c91cdf5ac6a31de648fd1ea2f23b042c34"],"state_sha256":"cb18ab08f7f80208c127ea668b950e68912e0b9fb4c1137510f391b877dba491"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iV5VR5wbxQj2mtw2rcNqC4yR21E8JJv0Bum8K5k/U6bD4czXGWXRV6X05oADZOhBP9glXhN6C/SBBvmMJ04HBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T03:59:54.581232Z","bundle_sha256":"afdbfc813a26a8ad83f0d259f019d2f6c597db6e2d25905c203aedf578ded7fb"}}