{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZBYVN7WUCVDYXU4YI2UPSWY7WE","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":"e03d8ab845181ccccc8a74c334b6eb6098ad022fdec9ab4f242a42906ff076b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-11T10:53:16Z","title_canon_sha256":"7f3d4c9f9572c5eba63948b5b61eedf7e4d9c9e736007b02501097a478290bff"},"schema_version":"1.0","source":{"id":"1704.03235","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03235","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03235v1","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03235","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"pith_short_12","alias_value":"ZBYVN7WUCVDY","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZBYVN7WUCVDYXU4Y","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZBYVN7WU","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:0fe81875ba8919ada4870889f230603ab7113ae6fb77e557f34e56b49026304b","target":"graph","created_at":"2026-05-18T00:18:20Z","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. Compatibility of such behavior with the notion of self-similarity in a model of structure function suggested by us sometime back is now generalized to more recent improved self-similarity based models and compare with recent data as well as with the model of Block, Durand, Ha and McKay. Our analysis suggests that Froiss","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":"2017-04-11T10:53:16Z","title":"Froissart bound and self-similarity based models of proton structure functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03235","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":"sha256:57bfec344a48404d8b059cdf1b41e8a575754c8c9b3936cc0a3c70f1c6e65f0d","target":"record","created_at":"2026-05-18T00:18:20Z","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":"e03d8ab845181ccccc8a74c334b6eb6098ad022fdec9ab4f242a42906ff076b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-11T10:53:16Z","title_canon_sha256":"7f3d4c9f9572c5eba63948b5b61eedf7e4d9c9e736007b02501097a478290bff"},"schema_version":"1.0","source":{"id":"1704.03235","kind":"arxiv","version":1}},"canonical_sha256":"c87156fed415478bd39846a8f95b1fb10981fcd3df0f806b940231307fab31cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c87156fed415478bd39846a8f95b1fb10981fcd3df0f806b940231307fab31cb","first_computed_at":"2026-05-18T00:18:20.436945Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:20.436945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PdU1N53pFJPB80A4VSuPveN2yGST4l26mk/WZ5Lj1SPvBvgRlpSFOx+5R3xcNmg28mBp+g41HZx/2ks0F2ZCAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:20.437519Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03235","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57bfec344a48404d8b059cdf1b41e8a575754c8c9b3936cc0a3c70f1c6e65f0d","sha256:0fe81875ba8919ada4870889f230603ab7113ae6fb77e557f34e56b49026304b"],"state_sha256":"1811ddfcf63bc0317be9aecd8a15644c4e5db24c8cb05b7c696d3f7deb68b267"}