{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2WQWWQIYY4RZFKIWMMBD4ZRWUI","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":"47cbc3af1a6480dac8cc41a807dbcb623397336259245b40ecbb86435e92100b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-06-21T18:29:40Z","title_canon_sha256":"7f727664fa8a348254e6d8f68eb6f01b9fcf2e26b863b020a8d1c62ab557120d"},"schema_version":"1.0","source":{"id":"1306.5210","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5210","created_at":"2026-05-18T02:57:23Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5210v6","created_at":"2026-05-18T02:57:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5210","created_at":"2026-05-18T02:57:23Z"},{"alias_kind":"pith_short_12","alias_value":"2WQWWQIYY4RZ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2WQWWQIYY4RZFKIW","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2WQWWQIY","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:90b6e1b5481269222a11a58f274dabf3f0676d28ad4afe240c91e9dff72b2390","target":"graph","created_at":"2026-05-18T02:57:23Z","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":"We determine the scale of the logarithm in the Froissart bound on total cross-sections using absolute bounds on the D-wave below threshold for $\\pi\\pi$ scattering. E.g. for $\\pi^0 \\pi^0$ scattering we show that for c.m. energy $\\sqrt{s}\\rightarrow \\infty $, $\\bar{\\sigma}_{tot}(s,\\infty)\\equiv s\\int_{s} ^{\\infty} ds'\\sigma_{tot}(s')/s'^2 \\leq \\pi (m_{\\pi})^{-2} [\\ln (s/s_0)+(1/2)\\ln \\ln (s/s_0) +1]^2$ where $m_\\pi^2/s_0= 17\\pi \\sqrt{\\pi/2} $ .","authors_text":"Andr\\'e Martin (CERN, Geneva), Mumbai), S. M. Roy (HBCSE, Tata Institute of Fundamental Research","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-06-21T18:29:40Z","title":"Froissart Bound on Total Cross-section without Unknown Constants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5210","kind":"arxiv","version":6},"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":"sha256:297c6e31f84504635b3c8dbffe986e66a8b12c11cbfb680d51772e80ea41a073","target":"record","created_at":"2026-05-18T02:57:23Z","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":"47cbc3af1a6480dac8cc41a807dbcb623397336259245b40ecbb86435e92100b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-06-21T18:29:40Z","title_canon_sha256":"7f727664fa8a348254e6d8f68eb6f01b9fcf2e26b863b020a8d1c62ab557120d"},"schema_version":"1.0","source":{"id":"1306.5210","kind":"arxiv","version":6}},"canonical_sha256":"d5a16b4118c72392a91663023e6636a20c78b83d9f8ae21007bd50a574dfb9ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5a16b4118c72392a91663023e6636a20c78b83d9f8ae21007bd50a574dfb9ce","first_computed_at":"2026-05-18T02:57:23.800576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:23.800576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K6FGfKmzKeaEMvl4fpgUgJhRh1kRRCDp49WxqFVuUsHKsaC9/IyQI+F1y5mUrfC+XKLfmLj8JzKrzEq10CXCCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:23.801087Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5210","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:297c6e31f84504635b3c8dbffe986e66a8b12c11cbfb680d51772e80ea41a073","sha256:90b6e1b5481269222a11a58f274dabf3f0676d28ad4afe240c91e9dff72b2390"],"state_sha256":"c7b5c2d634efba5ea3f9003743b1d2eb27a4dd66b58dc7f1c5319d1b736e5a5f"}