{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:SHVLDX7LVF7VRMBSWNLVAVJJ5U","short_pith_number":"pith:SHVLDX7L","schema_version":"1.0","canonical_sha256":"91eab1dfeba97f58b032b357505529ed01371749012e8d3c3e04646c7a306dac","source":{"kind":"arxiv","id":"1404.0808","version":1},"attestation_state":"computed","paper":{"title":"A lower bound on the Longitudinal Structure Function at small x from a self-similarity based model of Proton","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":"2014-04-03T08:54:46Z","abstract_excerpt":"Self-similarity based model of proton structure function at small \\textit{x} was reported in the literature sometime back. The phenomenological validity of the model is in the kinematical region $ 6.2\\, \\times \\, 10^{-7} \\leq x \\leq 10^{-2}$ and $ 0.045 \\leq Q^{2} \\leq 120 \\, \\mathrm{GeV^{2}} $. We use momentum sum rule to pin down the corresponding self-similarity based gluon distribution function valid in the same kinematical region. The model is then used to compute bound on the longitudinal structure function $F_{L}\\left(x,Q^{2} \\right)$ for Altarelli-Martinelli equation in QCD and is comp"},"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":"1404.0808","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-04-03T08:54:46Z","cross_cats_sorted":[],"title_canon_sha256":"03c295e4f23a9edb49885ccbeccaf35cc5c558d85d520400d6d06e1e35f34058","abstract_canon_sha256":"ce6310bef4e2e679713b8f744ed39e5b626ad77e72c48e4e9953a36923251292"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:17.113940Z","signature_b64":"3EuZ21i+JHcqOwm66Lhs7CQJZh+K2nGQDsGsPDqS9oWROkBzVZ8eZ9/NL/Mo2iSU44BMfiMABtfoTUWGRWh2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91eab1dfeba97f58b032b357505529ed01371749012e8d3c3e04646c7a306dac","last_reissued_at":"2026-05-18T02:53:17.113129Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:17.113129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A lower bound on the Longitudinal Structure Function at small x from a self-similarity based model of Proton","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":"2014-04-03T08:54:46Z","abstract_excerpt":"Self-similarity based model of proton structure function at small \\textit{x} was reported in the literature sometime back. The phenomenological validity of the model is in the kinematical region $ 6.2\\, \\times \\, 10^{-7} \\leq x \\leq 10^{-2}$ and $ 0.045 \\leq Q^{2} \\leq 120 \\, \\mathrm{GeV^{2}} $. We use momentum sum rule to pin down the corresponding self-similarity based gluon distribution function valid in the same kinematical region. The model is then used to compute bound on the longitudinal structure function $F_{L}\\left(x,Q^{2} \\right)$ for Altarelli-Martinelli equation in QCD and is comp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0808","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":"1404.0808","created_at":"2026-05-18T02:53:17.113238+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.0808v1","created_at":"2026-05-18T02:53:17.113238+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0808","created_at":"2026-05-18T02:53:17.113238+00:00"},{"alias_kind":"pith_short_12","alias_value":"SHVLDX7LVF7V","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"SHVLDX7LVF7VRMBS","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"SHVLDX7L","created_at":"2026-05-18T12:28:49.207871+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/SHVLDX7LVF7VRMBSWNLVAVJJ5U","json":"https://pith.science/pith/SHVLDX7LVF7VRMBSWNLVAVJJ5U.json","graph_json":"https://pith.science/api/pith-number/SHVLDX7LVF7VRMBSWNLVAVJJ5U/graph.json","events_json":"https://pith.science/api/pith-number/SHVLDX7LVF7VRMBSWNLVAVJJ5U/events.json","paper":"https://pith.science/paper/SHVLDX7L"},"agent_actions":{"view_html":"https://pith.science/pith/SHVLDX7LVF7VRMBSWNLVAVJJ5U","download_json":"https://pith.science/pith/SHVLDX7LVF7VRMBSWNLVAVJJ5U.json","view_paper":"https://pith.science/paper/SHVLDX7L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.0808&json=true","fetch_graph":"https://pith.science/api/pith-number/SHVLDX7LVF7VRMBSWNLVAVJJ5U/graph.json","fetch_events":"https://pith.science/api/pith-number/SHVLDX7LVF7VRMBSWNLVAVJJ5U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SHVLDX7LVF7VRMBSWNLVAVJJ5U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SHVLDX7LVF7VRMBSWNLVAVJJ5U/action/storage_attestation","attest_author":"https://pith.science/pith/SHVLDX7LVF7VRMBSWNLVAVJJ5U/action/author_attestation","sign_citation":"https://pith.science/pith/SHVLDX7LVF7VRMBSWNLVAVJJ5U/action/citation_signature","submit_replication":"https://pith.science/pith/SHVLDX7LVF7VRMBSWNLVAVJJ5U/action/replication_record"}},"created_at":"2026-05-18T02:53:17.113238+00:00","updated_at":"2026-05-18T02:53:17.113238+00:00"}