{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FKTIPVOAZ2URJ2GPRJB5733F4I","short_pith_number":"pith:FKTIPVOA","canonical_record":{"source":{"id":"1604.01932","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-07T09:23:48Z","cross_cats_sorted":[],"title_canon_sha256":"ca53903c79c2d57e41a071c36ffe2cc317b0c31e8b0040e176d04b12645519dd","abstract_canon_sha256":"cf8ca759166ec4d2cfc79b66c1d5c00f3d2844d6039745d6788264a80e5af469"},"schema_version":"1.0"},"canonical_sha256":"2aa687d5c0cea914e8cf8a43dfef65e205e60662ae190e7fa68a326a50980473","source":{"kind":"arxiv","id":"1604.01932","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01932","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01932v1","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01932","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"pith_short_12","alias_value":"FKTIPVOAZ2UR","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FKTIPVOAZ2URJ2GP","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FKTIPVOA","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FKTIPVOAZ2URJ2GPRJB5733F4I","target":"record","payload":{"canonical_record":{"source":{"id":"1604.01932","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-07T09:23:48Z","cross_cats_sorted":[],"title_canon_sha256":"ca53903c79c2d57e41a071c36ffe2cc317b0c31e8b0040e176d04b12645519dd","abstract_canon_sha256":"cf8ca759166ec4d2cfc79b66c1d5c00f3d2844d6039745d6788264a80e5af469"},"schema_version":"1.0"},"canonical_sha256":"2aa687d5c0cea914e8cf8a43dfef65e205e60662ae190e7fa68a326a50980473","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:49.964692Z","signature_b64":"OSdnAygcBByeWS0vmyBiN9256uxrLeihwLhv1CMwe5ARyVjPhFujeCRS7LFfIrp3Ofr7mtTijAQP/8tzwYhNCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2aa687d5c0cea914e8cf8a43dfef65e205e60662ae190e7fa68a326a50980473","last_reissued_at":"2026-05-18T01:10:49.964176Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:49.964176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.01932","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":"2026-05-18T01:10:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lPHl6/aMjjMlNMSOclAaN4XKSWdUQpo8HG8rYlYWZik3kXMRN0J3r+Q5LHc3Fhdl4IZzxl82ff9DTGmL7ZDwDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T09:48:15.633852Z"},"content_sha256":"3c7d253857cc9e24457e40e2fbc9f18d68f0d9da6e7a82181d16fab28761e9fd","schema_version":"1.0","event_id":"sha256:3c7d253857cc9e24457e40e2fbc9f18d68f0d9da6e7a82181d16fab28761e9fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FKTIPVOAZ2URJ2GPRJB5733F4I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fourier-positivity constraints on QCD dipole models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Bertrand G. Giraud, Robi Peschanski","submitted_at":"2016-04-07T09:23:48Z","abstract_excerpt":"Fourier-positivity, i.e. the mathematical property that a function has a positive Fourier transform, can be used as a constraint on the parametrization of QCD dipole-target cross-sections or Wilson line correlators in transverse position (r) space. They are Bessel transforms of positive transverse momentum dependent gluon distributions. Using mathematical Fourier-positivity constraints on the limit r -> 0 behavior of the dipole amplitudes, we identify the common origin of the violation of Fourier-positivity for various, however phenomenologically convenient, dipole models. It is due to the beh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01932","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":""},"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":"2026-05-18T01:10:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Y4gZ/VRbPEOqcSAMkHMEbFRJzgEK5kBHa4zhruR+e9ldqHpCb88fd4ujT1NlMIMHLTbu8LWqRqjqEGfkOW1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T09:48:15.634188Z"},"content_sha256":"d7480651c45e6afca9ad392ad827804d410b78c4d0ca15c45114ef5145aa2ecc","schema_version":"1.0","event_id":"sha256:d7480651c45e6afca9ad392ad827804d410b78c4d0ca15c45114ef5145aa2ecc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FKTIPVOAZ2URJ2GPRJB5733F4I/bundle.json","state_url":"https://pith.science/pith/FKTIPVOAZ2URJ2GPRJB5733F4I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FKTIPVOAZ2URJ2GPRJB5733F4I/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":"2026-05-30T09:48:15Z","links":{"resolver":"https://pith.science/pith/FKTIPVOAZ2URJ2GPRJB5733F4I","bundle":"https://pith.science/pith/FKTIPVOAZ2URJ2GPRJB5733F4I/bundle.json","state":"https://pith.science/pith/FKTIPVOAZ2URJ2GPRJB5733F4I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FKTIPVOAZ2URJ2GPRJB5733F4I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FKTIPVOAZ2URJ2GPRJB5733F4I","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":"cf8ca759166ec4d2cfc79b66c1d5c00f3d2844d6039745d6788264a80e5af469","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-07T09:23:48Z","title_canon_sha256":"ca53903c79c2d57e41a071c36ffe2cc317b0c31e8b0040e176d04b12645519dd"},"schema_version":"1.0","source":{"id":"1604.01932","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01932","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01932v1","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01932","created_at":"2026-05-18T01:10:49Z"},{"alias_kind":"pith_short_12","alias_value":"FKTIPVOAZ2UR","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FKTIPVOAZ2URJ2GP","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FKTIPVOA","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:d7480651c45e6afca9ad392ad827804d410b78c4d0ca15c45114ef5145aa2ecc","target":"graph","created_at":"2026-05-18T01:10:49Z","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":"Fourier-positivity, i.e. the mathematical property that a function has a positive Fourier transform, can be used as a constraint on the parametrization of QCD dipole-target cross-sections or Wilson line correlators in transverse position (r) space. They are Bessel transforms of positive transverse momentum dependent gluon distributions. Using mathematical Fourier-positivity constraints on the limit r -> 0 behavior of the dipole amplitudes, we identify the common origin of the violation of Fourier-positivity for various, however phenomenologically convenient, dipole models. It is due to the beh","authors_text":"Bertrand G. Giraud, Robi Peschanski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-07T09:23:48Z","title":"Fourier-positivity constraints on QCD dipole models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01932","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":"sha256:3c7d253857cc9e24457e40e2fbc9f18d68f0d9da6e7a82181d16fab28761e9fd","target":"record","created_at":"2026-05-18T01:10:49Z","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":"cf8ca759166ec4d2cfc79b66c1d5c00f3d2844d6039745d6788264a80e5af469","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-07T09:23:48Z","title_canon_sha256":"ca53903c79c2d57e41a071c36ffe2cc317b0c31e8b0040e176d04b12645519dd"},"schema_version":"1.0","source":{"id":"1604.01932","kind":"arxiv","version":1}},"canonical_sha256":"2aa687d5c0cea914e8cf8a43dfef65e205e60662ae190e7fa68a326a50980473","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2aa687d5c0cea914e8cf8a43dfef65e205e60662ae190e7fa68a326a50980473","first_computed_at":"2026-05-18T01:10:49.964176Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:49.964176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OSdnAygcBByeWS0vmyBiN9256uxrLeihwLhv1CMwe5ARyVjPhFujeCRS7LFfIrp3Ofr7mtTijAQP/8tzwYhNCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:49.964692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.01932","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c7d253857cc9e24457e40e2fbc9f18d68f0d9da6e7a82181d16fab28761e9fd","sha256:d7480651c45e6afca9ad392ad827804d410b78c4d0ca15c45114ef5145aa2ecc"],"state_sha256":"a0f193dbf64aa357d001183ea9b36fafca9d36bd10ef065e92bacc1787be7bf0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j7DXLsJc1Ealx8dl5pPoSS1JeXxJNeiAq/SPuIjDeuX+zu7MchfylBM9jvjVmcaqHHoIxwxWyBASchfxUc+VAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T09:48:15.636169Z","bundle_sha256":"4e5691859b5715fe499df5152fe7f1fb6467e26dc9a550c165515b5bc494061b"}}