{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6TSZT4EL7G33GXMAOYQVVF72LS","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":"5b14bf19ace4e2471a4e56e9e6116907415b74c698250279eea9a9c5a917f088","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-10-12T15:49:08Z","title_canon_sha256":"f03fae993c62286888f45b4dafc066c3f4c4e99b8a14676a536e228c02c5257b"},"schema_version":"1.0","source":{"id":"1710.04911","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04911","created_at":"2026-05-18T00:32:56Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04911v1","created_at":"2026-05-18T00:32:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04911","created_at":"2026-05-18T00:32:56Z"},{"alias_kind":"pith_short_12","alias_value":"6TSZT4EL7G33","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6TSZT4EL7G33GXMA","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6TSZT4EL","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:c5c9c7fd56886176692bf0f41f7db1dfe2b2b2031b203c07d4a7eb92f5901830","target":"graph","created_at":"2026-05-18T00:32:56Z","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":"Froissart Bound implies that the total proton-proton cross-section (or equivalently structure function) cannot rise faster than the logarithmic growth $\\log^2 s \\sim \\log^2 (1/x)$, where \\textit{s} is the square of the center of mass energy and \\textit{x} is the Bjorken variable. In the present report, compatibility of such behavior will be shown in case of Transverse Momentum Dependent Parton Distributions Functions (TMDPDF) or TMDs for the model of proton based on self-similarity.","authors_text":"Baishali Saikia, D K Choudhury","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-10-12T15:49:08Z","title":"Froissart Bound and Transverse Momentum Dependent Parton Distribution Functions (TMDPDF) with self-similarity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04911","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":"sha256:76f5c538f6143bef1b001f04d4cc2251445325b0b1cc4fa781d01b2417e13ae9","target":"record","created_at":"2026-05-18T00:32:56Z","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":"5b14bf19ace4e2471a4e56e9e6116907415b74c698250279eea9a9c5a917f088","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-10-12T15:49:08Z","title_canon_sha256":"f03fae993c62286888f45b4dafc066c3f4c4e99b8a14676a536e228c02c5257b"},"schema_version":"1.0","source":{"id":"1710.04911","kind":"arxiv","version":1}},"canonical_sha256":"f4e599f08bf9b7b35d8076215a97fa5c82d832c44b4e16416e0641101000002c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4e599f08bf9b7b35d8076215a97fa5c82d832c44b4e16416e0641101000002c","first_computed_at":"2026-05-18T00:32:56.351926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:56.351926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cPaaqS+met1EgLLogrq1wY4E9LVusnzk9vBy0R7kPGY2sK0XwFXfmV7Tahz6P0JJtgPTjTLvMNOnF96JhBZ8Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:56.352562Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.04911","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76f5c538f6143bef1b001f04d4cc2251445325b0b1cc4fa781d01b2417e13ae9","sha256:c5c9c7fd56886176692bf0f41f7db1dfe2b2b2031b203c07d4a7eb92f5901830"],"state_sha256":"d3e262ba8e9ce9b1242bb64315af24e45478bd7d326528ec185ecef660ea23d2"}