{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TG2BY7HQI2CPQQRS4WZDYPCUFH","short_pith_number":"pith:TG2BY7HQ","canonical_record":{"source":{"id":"1402.0762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-02-04T15:25:41Z","cross_cats_sorted":[],"title_canon_sha256":"ef8bd8ee0bec055598d36a30bfac17177e56e4c97efbee903d4dcd0a4ddaea8f","abstract_canon_sha256":"9e9d16653e89f38ee8019b866dd0962417d91333085f30c620a1d6801a879c98"},"schema_version":"1.0"},"canonical_sha256":"99b41c7cf04684f84232e5b23c3c5429ce8a3e1d7fc1b1b91e61567b0b08ff76","source":{"kind":"arxiv","id":"1402.0762","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0762","created_at":"2026-05-18T01:44:47Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0762v1","created_at":"2026-05-18T01:44:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0762","created_at":"2026-05-18T01:44:47Z"},{"alias_kind":"pith_short_12","alias_value":"TG2BY7HQI2CP","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TG2BY7HQI2CPQQRS","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TG2BY7HQ","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TG2BY7HQI2CPQQRS4WZDYPCUFH","target":"record","payload":{"canonical_record":{"source":{"id":"1402.0762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-02-04T15:25:41Z","cross_cats_sorted":[],"title_canon_sha256":"ef8bd8ee0bec055598d36a30bfac17177e56e4c97efbee903d4dcd0a4ddaea8f","abstract_canon_sha256":"9e9d16653e89f38ee8019b866dd0962417d91333085f30c620a1d6801a879c98"},"schema_version":"1.0"},"canonical_sha256":"99b41c7cf04684f84232e5b23c3c5429ce8a3e1d7fc1b1b91e61567b0b08ff76","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:47.948119Z","signature_b64":"0SWaH7FwDzzg37cA6XsdrlafgTeOronrtFBwygoN4Ug5Lg0QDXrqZIFNsoKmgGw8r2JJcufj/hNFceqk06SvCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99b41c7cf04684f84232e5b23c3c5429ce8a3e1d7fc1b1b91e61567b0b08ff76","last_reissued_at":"2026-05-18T01:44:47.947453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:47.947453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.0762","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":"2026-05-18T01:44:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"chvpSxBEfasOhpjcBPMgZyJd86lblPPR5dVovhQ0jmBu6XXsBwubPyM94Wo+ryE7NSquTpRsuybAhOO8B1maAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:45:14.705006Z"},"content_sha256":"3d6b3f9864471df8254d656dc7df1efa8a612d37194abefe6d162b4c8c0f3be9","schema_version":"1.0","event_id":"sha256:3d6b3f9864471df8254d656dc7df1efa8a612d37194abefe6d162b4c8c0f3be9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TG2BY7HQI2CPQQRS4WZDYPCUFH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hard- Pomeron behavior of the Longitudinal Structure Function $F_{L}$ in the Next- to- Leading- Order at low $x$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"G.R.Boroun","submitted_at":"2014-02-04T15:25:41Z","abstract_excerpt":"We present an analytic formula to extract the longitudinal structure function in the next- to -leading order of the perturbation theory at low $x$, from the Regge- like behavior of the gluon distribution and the structure function at this limit. In this approach, the longitudinal structure function has the hard- Pomeron behavior. The determined values are compared with the $H1$ data and MRST model. All results can consistently be described within the framework of perturbative QCD which essentially show increases as $x$ decreases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0762","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":"2026-05-18T01:44:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O84vRkeM+nf2Z4s3nehuZfC6awMB23HapJpBkV4v1BwLMemUuDzdJfGxIRw1m22u7MbxYzX+1NZIqL0LH6L1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:45:14.705372Z"},"content_sha256":"84f6c71fc4d44b59deb5b3a95775f593b088bde0033071376dd2e69652dc5ca3","schema_version":"1.0","event_id":"sha256:84f6c71fc4d44b59deb5b3a95775f593b088bde0033071376dd2e69652dc5ca3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TG2BY7HQI2CPQQRS4WZDYPCUFH/bundle.json","state_url":"https://pith.science/pith/TG2BY7HQI2CPQQRS4WZDYPCUFH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TG2BY7HQI2CPQQRS4WZDYPCUFH/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":"2026-06-04T01:45:14Z","links":{"resolver":"https://pith.science/pith/TG2BY7HQI2CPQQRS4WZDYPCUFH","bundle":"https://pith.science/pith/TG2BY7HQI2CPQQRS4WZDYPCUFH/bundle.json","state":"https://pith.science/pith/TG2BY7HQI2CPQQRS4WZDYPCUFH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TG2BY7HQI2CPQQRS4WZDYPCUFH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TG2BY7HQI2CPQQRS4WZDYPCUFH","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":"9e9d16653e89f38ee8019b866dd0962417d91333085f30c620a1d6801a879c98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-02-04T15:25:41Z","title_canon_sha256":"ef8bd8ee0bec055598d36a30bfac17177e56e4c97efbee903d4dcd0a4ddaea8f"},"schema_version":"1.0","source":{"id":"1402.0762","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0762","created_at":"2026-05-18T01:44:47Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0762v1","created_at":"2026-05-18T01:44:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0762","created_at":"2026-05-18T01:44:47Z"},{"alias_kind":"pith_short_12","alias_value":"TG2BY7HQI2CP","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TG2BY7HQI2CPQQRS","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TG2BY7HQ","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:84f6c71fc4d44b59deb5b3a95775f593b088bde0033071376dd2e69652dc5ca3","target":"graph","created_at":"2026-05-18T01:44:47Z","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":"We present an analytic formula to extract the longitudinal structure function in the next- to -leading order of the perturbation theory at low $x$, from the Regge- like behavior of the gluon distribution and the structure function at this limit. In this approach, the longitudinal structure function has the hard- Pomeron behavior. The determined values are compared with the $H1$ data and MRST model. All results can consistently be described within the framework of perturbative QCD which essentially show increases as $x$ decreases.","authors_text":"G.R.Boroun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-02-04T15:25:41Z","title":"Hard- Pomeron behavior of the Longitudinal Structure Function $F_{L}$ in the Next- to- Leading- Order at low $x$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0762","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":"sha256:3d6b3f9864471df8254d656dc7df1efa8a612d37194abefe6d162b4c8c0f3be9","target":"record","created_at":"2026-05-18T01:44:47Z","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":"9e9d16653e89f38ee8019b866dd0962417d91333085f30c620a1d6801a879c98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-02-04T15:25:41Z","title_canon_sha256":"ef8bd8ee0bec055598d36a30bfac17177e56e4c97efbee903d4dcd0a4ddaea8f"},"schema_version":"1.0","source":{"id":"1402.0762","kind":"arxiv","version":1}},"canonical_sha256":"99b41c7cf04684f84232e5b23c3c5429ce8a3e1d7fc1b1b91e61567b0b08ff76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99b41c7cf04684f84232e5b23c3c5429ce8a3e1d7fc1b1b91e61567b0b08ff76","first_computed_at":"2026-05-18T01:44:47.947453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:47.947453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0SWaH7FwDzzg37cA6XsdrlafgTeOronrtFBwygoN4Ug5Lg0QDXrqZIFNsoKmgGw8r2JJcufj/hNFceqk06SvCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:47.948119Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.0762","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d6b3f9864471df8254d656dc7df1efa8a612d37194abefe6d162b4c8c0f3be9","sha256:84f6c71fc4d44b59deb5b3a95775f593b088bde0033071376dd2e69652dc5ca3"],"state_sha256":"b804fce3feff414d3f553fffa5fa0340e4ed54eaa3e309dbc2f22ce49887165c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ntbw3dp4MCQ1BE6eF0FmyGXhJ85n3gBNenY5FIMnCtTFZYE4S23vPH/LJ+x7zTs2L7Vzk/xWf3sdaRcn1JzQCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T01:45:14.707332Z","bundle_sha256":"04a4082714f4d49221feaeb3c7f7c7254db4804e06451d39619491663cf2ab83"}}