{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:KXSZVTTZYKBEEW4Y362AUUUXYD","short_pith_number":"pith:KXSZVTTZ","schema_version":"1.0","canonical_sha256":"55e59ace79c282425b98dfb40a5297c0f030a31c5252f963747b8b99992f4101","source":{"kind":"arxiv","id":"1101.0069","version":1},"attestation_state":"computed","paper":{"title":"Fractal Inspired Models of Quark and Gluon Distributions and Longitudinal Structure Function FL(x, Q2) at small x","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Akbari Jahan, D. K. Choudhury","submitted_at":"2010-12-30T11:30:53Z","abstract_excerpt":"In recent years, Fractal Inspired Models of quark and gluon densities at small x have been proposed. In this paper, we investigate longitudinal structure function F-L (x, Q2) within this approach. We make predictions using the QCD based approximate relation between the longitudinal structure function and the gluon density. As the Altarelli-Martinelli equation for the longitudinal structure function cannot be applied to Model I due to the presence of a singularity in the Bjorken x-space we consider Model II only. The qualitative feature of the prediction of Model II is found to be compatible wi"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1101.0069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-12-30T11:30:53Z","cross_cats_sorted":[],"title_canon_sha256":"44f02c6179bf516d18594690e102f764fdbe56d38e7485b65d0a6da967eb157d","abstract_canon_sha256":"e05f07f22b786c1f4436b2181b81e9af26a47ba4a1c82cbe7276db50142d454e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:17.837086Z","signature_b64":"rGPrYOqMLb0q8JCdaJaWuEeeOs2Cl6EJO/3WrG9gmY9eZvT1CR0yyf8IDxWH7rKPHh/cWj9KTX7fftUBzu9JBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55e59ace79c282425b98dfb40a5297c0f030a31c5252f963747b8b99992f4101","last_reissued_at":"2026-05-18T02:53:17.836414Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:17.836414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractal Inspired Models of Quark and Gluon Distributions and Longitudinal Structure Function FL(x, Q2) at small x","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Akbari Jahan, D. K. Choudhury","submitted_at":"2010-12-30T11:30:53Z","abstract_excerpt":"In recent years, Fractal Inspired Models of quark and gluon densities at small x have been proposed. In this paper, we investigate longitudinal structure function F-L (x, Q2) within this approach. We make predictions using the QCD based approximate relation between the longitudinal structure function and the gluon density. As the Altarelli-Martinelli equation for the longitudinal structure function cannot be applied to Model I due to the presence of a singularity in the Bjorken x-space we consider Model II only. The qualitative feature of the prediction of Model II is found to be compatible wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0069","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1101.0069","created_at":"2026-05-18T02:53:17.836510+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.0069v1","created_at":"2026-05-18T02:53:17.836510+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0069","created_at":"2026-05-18T02:53:17.836510+00:00"},{"alias_kind":"pith_short_12","alias_value":"KXSZVTTZYKBE","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"KXSZVTTZYKBEEW4Y","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"KXSZVTTZ","created_at":"2026-05-18T12:26:09.077623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KXSZVTTZYKBEEW4Y362AUUUXYD","json":"https://pith.science/pith/KXSZVTTZYKBEEW4Y362AUUUXYD.json","graph_json":"https://pith.science/api/pith-number/KXSZVTTZYKBEEW4Y362AUUUXYD/graph.json","events_json":"https://pith.science/api/pith-number/KXSZVTTZYKBEEW4Y362AUUUXYD/events.json","paper":"https://pith.science/paper/KXSZVTTZ"},"agent_actions":{"view_html":"https://pith.science/pith/KXSZVTTZYKBEEW4Y362AUUUXYD","download_json":"https://pith.science/pith/KXSZVTTZYKBEEW4Y362AUUUXYD.json","view_paper":"https://pith.science/paper/KXSZVTTZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.0069&json=true","fetch_graph":"https://pith.science/api/pith-number/KXSZVTTZYKBEEW4Y362AUUUXYD/graph.json","fetch_events":"https://pith.science/api/pith-number/KXSZVTTZYKBEEW4Y362AUUUXYD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KXSZVTTZYKBEEW4Y362AUUUXYD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KXSZVTTZYKBEEW4Y362AUUUXYD/action/storage_attestation","attest_author":"https://pith.science/pith/KXSZVTTZYKBEEW4Y362AUUUXYD/action/author_attestation","sign_citation":"https://pith.science/pith/KXSZVTTZYKBEEW4Y362AUUUXYD/action/citation_signature","submit_replication":"https://pith.science/pith/KXSZVTTZYKBEEW4Y362AUUUXYD/action/replication_record"}},"created_at":"2026-05-18T02:53:17.836510+00:00","updated_at":"2026-05-18T02:53:17.836510+00:00"}