{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:I72TI5DWIPFICXQPNC2EI46ADS","short_pith_number":"pith:I72TI5DW","schema_version":"1.0","canonical_sha256":"47f534747643ca815e0f68b44473c01c98409d8033b759cbd8fa420bce3d70dc","source":{"kind":"arxiv","id":"hep-ph/0703003","version":2},"attestation_state":"computed","paper":{"title":"Analytic Expression for the Joint x and Q^2 Dependences of the Structure Functions of Deep Inelastic Scattering","license":"","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Chung-I Tan (Brown), Edmond L. Berger (Argonne), M. M. Block (Northwestern)","submitted_at":"2007-02-28T22:19:56Z","abstract_excerpt":"We obtain a good analytic fit to the joint Bjorken-x and Q^2 dependences of ZEUS data on the deep inelastic structure function F_2(x, Q^2). At fixed virtuality Q^2, as we showed previously, our expression is an expansion in powers of log (1/x) that satisfies the Froissart bound. Here we show that for each x, the Q^2 dependence of the data is well described by an expansion in powers of log Q^2. The resulting analytic expression allows us to predict the logarithmic derivatives {({\\partial}^n F_2^p/{{(\\partial\\ln Q^2}})^n)}_x for n = 1,2 and to compare the results successfully with other data. We"},"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":"hep-ph/0703003","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-02-28T22:19:56Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"00d3208a49fe646365f03e38b1326fc4e6714fd734d2634ea7520714f8c82499","abstract_canon_sha256":"af82edf5e3325a7acadff64e85fa4341b1978eef9946efdb6c4f6c9a793b68df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:31:41.347637Z","signature_b64":"uQCPAecUFu07urJTVHf8wqsPk8GpptZlex+/cEtm37wHutzFE6/cc3JnjVEC/Uy2p2mJ92ccbblaklycTiSJBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47f534747643ca815e0f68b44473c01c98409d8033b759cbd8fa420bce3d70dc","last_reissued_at":"2026-07-04T15:31:41.347291Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:31:41.347291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic Expression for the Joint x and Q^2 Dependences of the Structure Functions of Deep Inelastic Scattering","license":"","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Chung-I Tan (Brown), Edmond L. Berger (Argonne), M. M. Block (Northwestern)","submitted_at":"2007-02-28T22:19:56Z","abstract_excerpt":"We obtain a good analytic fit to the joint Bjorken-x and Q^2 dependences of ZEUS data on the deep inelastic structure function F_2(x, Q^2). At fixed virtuality Q^2, as we showed previously, our expression is an expansion in powers of log (1/x) that satisfies the Froissart bound. Here we show that for each x, the Q^2 dependence of the data is well described by an expansion in powers of log Q^2. The resulting analytic expression allows us to predict the logarithmic derivatives {({\\partial}^n F_2^p/{{(\\partial\\ln Q^2}})^n)}_x for n = 1,2 and to compare the results successfully with other data. We"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0703003","kind":"arxiv","version":2},"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/hep-ph/0703003/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0703003","created_at":"2026-07-04T15:31:41.347360+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0703003v2","created_at":"2026-07-04T15:31:41.347360+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0703003","created_at":"2026-07-04T15:31:41.347360+00:00"},{"alias_kind":"pith_short_12","alias_value":"I72TI5DWIPFI","created_at":"2026-07-04T15:31:41.347360+00:00"},{"alias_kind":"pith_short_16","alias_value":"I72TI5DWIPFICXQP","created_at":"2026-07-04T15:31:41.347360+00:00"},{"alias_kind":"pith_short_8","alias_value":"I72TI5DW","created_at":"2026-07-04T15:31:41.347360+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.10665","citing_title":"Exploring ultra-high energy neutrino experiments through the lens of the transport equation","ref_index":36,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I72TI5DWIPFICXQPNC2EI46ADS","json":"https://pith.science/pith/I72TI5DWIPFICXQPNC2EI46ADS.json","graph_json":"https://pith.science/api/pith-number/I72TI5DWIPFICXQPNC2EI46ADS/graph.json","events_json":"https://pith.science/api/pith-number/I72TI5DWIPFICXQPNC2EI46ADS/events.json","paper":"https://pith.science/paper/I72TI5DW"},"agent_actions":{"view_html":"https://pith.science/pith/I72TI5DWIPFICXQPNC2EI46ADS","download_json":"https://pith.science/pith/I72TI5DWIPFICXQPNC2EI46ADS.json","view_paper":"https://pith.science/paper/I72TI5DW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0703003&json=true","fetch_graph":"https://pith.science/api/pith-number/I72TI5DWIPFICXQPNC2EI46ADS/graph.json","fetch_events":"https://pith.science/api/pith-number/I72TI5DWIPFICXQPNC2EI46ADS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I72TI5DWIPFICXQPNC2EI46ADS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I72TI5DWIPFICXQPNC2EI46ADS/action/storage_attestation","attest_author":"https://pith.science/pith/I72TI5DWIPFICXQPNC2EI46ADS/action/author_attestation","sign_citation":"https://pith.science/pith/I72TI5DWIPFICXQPNC2EI46ADS/action/citation_signature","submit_replication":"https://pith.science/pith/I72TI5DWIPFICXQPNC2EI46ADS/action/replication_record"}},"created_at":"2026-07-04T15:31:41.347360+00:00","updated_at":"2026-07-04T15:31:41.347360+00:00"}