{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:3YF6PWU4DIAOLGC4UUNLY2TPDR","short_pith_number":"pith:3YF6PWU4","schema_version":"1.0","canonical_sha256":"de0be7da9c1a00e5985ca51abc6a6f1c4fa05eea17eaa6f8c7dfe9b789552017","source":{"kind":"arxiv","id":"1302.6127","version":2},"attestation_state":"computed","paper":{"title":"Implications of a Froissart bound saturation of $\\gamma^*$-$p$ deep inelastic scattering. Part II. Ultra-high energy neutrino interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Douglas W. McKay, Loyal Durand, Martin M. Block, Phuoc Ha","submitted_at":"2013-02-25T15:37:46Z","abstract_excerpt":"In Part I (in this journal) we argued that the structure function $F_2^{\\gamma p}(x,Q^2)$ in deep inelastic $ep$ scattering, regarded as a cross section for virtual $\\gamma^*p$ scattering, has a saturated Froissart-bounded form behaving as $\\ln^2 (1/x)$ at small $x$. This form provides an excellent fit to the low $x$ HERA data, including the very low $Q^2$ regions, and can be extrapolated reliably to small $x$ using the natural variable $\\ln(1/x)$. We used our fit to derive quark distributions for values of $x$ down to $x=10^{-14}$. We use those distributions here to evaluate ultra-high energy"},"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":"1302.6127","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-02-25T15:37:46Z","cross_cats_sorted":[],"title_canon_sha256":"e53311c2619c23f9f6eea25f2bd35c21c5cec4411cf04a5ecb1835ecdf5b8328","abstract_canon_sha256":"3b78787acfbce8811c5843d8efcff697012186bbf8d0e82ae33d6541bf6c802c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:48.128656Z","signature_b64":"KyDV0I7nnCkIAOe0FxnhOoK5yyWLoyYn1tsOwa02ozzRc6X3GdBerpGe6lZhlFRYdSFuYypsbGUbM6jG8IRlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de0be7da9c1a00e5985ca51abc6a6f1c4fa05eea17eaa6f8c7dfe9b789552017","last_reissued_at":"2026-05-18T02:59:48.127876Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:48.127876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Implications of a Froissart bound saturation of $\\gamma^*$-$p$ deep inelastic scattering. Part II. Ultra-high energy neutrino interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Douglas W. McKay, Loyal Durand, Martin M. Block, Phuoc Ha","submitted_at":"2013-02-25T15:37:46Z","abstract_excerpt":"In Part I (in this journal) we argued that the structure function $F_2^{\\gamma p}(x,Q^2)$ in deep inelastic $ep$ scattering, regarded as a cross section for virtual $\\gamma^*p$ scattering, has a saturated Froissart-bounded form behaving as $\\ln^2 (1/x)$ at small $x$. This form provides an excellent fit to the low $x$ HERA data, including the very low $Q^2$ regions, and can be extrapolated reliably to small $x$ using the natural variable $\\ln(1/x)$. We used our fit to derive quark distributions for values of $x$ down to $x=10^{-14}$. We use those distributions here to evaluate ultra-high energy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6127","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":""},"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":"1302.6127","created_at":"2026-05-18T02:59:48.127999+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.6127v2","created_at":"2026-05-18T02:59:48.127999+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6127","created_at":"2026-05-18T02:59:48.127999+00:00"},{"alias_kind":"pith_short_12","alias_value":"3YF6PWU4DIAO","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"3YF6PWU4DIAOLGC4","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"3YF6PWU4","created_at":"2026-05-18T12:27:32.513160+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/3YF6PWU4DIAOLGC4UUNLY2TPDR","json":"https://pith.science/pith/3YF6PWU4DIAOLGC4UUNLY2TPDR.json","graph_json":"https://pith.science/api/pith-number/3YF6PWU4DIAOLGC4UUNLY2TPDR/graph.json","events_json":"https://pith.science/api/pith-number/3YF6PWU4DIAOLGC4UUNLY2TPDR/events.json","paper":"https://pith.science/paper/3YF6PWU4"},"agent_actions":{"view_html":"https://pith.science/pith/3YF6PWU4DIAOLGC4UUNLY2TPDR","download_json":"https://pith.science/pith/3YF6PWU4DIAOLGC4UUNLY2TPDR.json","view_paper":"https://pith.science/paper/3YF6PWU4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.6127&json=true","fetch_graph":"https://pith.science/api/pith-number/3YF6PWU4DIAOLGC4UUNLY2TPDR/graph.json","fetch_events":"https://pith.science/api/pith-number/3YF6PWU4DIAOLGC4UUNLY2TPDR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3YF6PWU4DIAOLGC4UUNLY2TPDR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3YF6PWU4DIAOLGC4UUNLY2TPDR/action/storage_attestation","attest_author":"https://pith.science/pith/3YF6PWU4DIAOLGC4UUNLY2TPDR/action/author_attestation","sign_citation":"https://pith.science/pith/3YF6PWU4DIAOLGC4UUNLY2TPDR/action/citation_signature","submit_replication":"https://pith.science/pith/3YF6PWU4DIAOLGC4UUNLY2TPDR/action/replication_record"}},"created_at":"2026-05-18T02:59:48.127999+00:00","updated_at":"2026-05-18T02:59:48.127999+00:00"}