{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OMDW4D36UAWVANI6EUER4JXXQG","short_pith_number":"pith:OMDW4D36","canonical_record":{"source":{"id":"1710.07140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-10-19T13:43:53Z","cross_cats_sorted":[],"title_canon_sha256":"f4468680a2cdf17c65d234c130dcd855cbf9538c3dde8ae1f8ee59c90b84313c","abstract_canon_sha256":"d706ba446196618e04323a2aa27cc2e44dd9de6346e8ea1f1e509c1589ce460d"},"schema_version":"1.0"},"canonical_sha256":"73076e0f7ea02d50351e25091e26f781a1ec92459edd9d1aa3a557d115b00b26","source":{"kind":"arxiv","id":"1710.07140","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07140","created_at":"2026-05-18T00:27:42Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07140v1","created_at":"2026-05-18T00:27:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07140","created_at":"2026-05-18T00:27:42Z"},{"alias_kind":"pith_short_12","alias_value":"OMDW4D36UAWV","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OMDW4D36UAWVANI6","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OMDW4D36","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OMDW4D36UAWVANI6EUER4JXXQG","target":"record","payload":{"canonical_record":{"source":{"id":"1710.07140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-10-19T13:43:53Z","cross_cats_sorted":[],"title_canon_sha256":"f4468680a2cdf17c65d234c130dcd855cbf9538c3dde8ae1f8ee59c90b84313c","abstract_canon_sha256":"d706ba446196618e04323a2aa27cc2e44dd9de6346e8ea1f1e509c1589ce460d"},"schema_version":"1.0"},"canonical_sha256":"73076e0f7ea02d50351e25091e26f781a1ec92459edd9d1aa3a557d115b00b26","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:42.530647Z","signature_b64":"GCd2wF1xOHRkkKvgaDSjEGJvWqXe6+3kCIzPGHJq9NOxuJoHGHNDEwo+/gOdVt/dkl2wg6OhegBp0sOVEcutDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73076e0f7ea02d50351e25091e26f781a1ec92459edd9d1aa3a557d115b00b26","last_reissued_at":"2026-05-18T00:27:42.529964Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:42.529964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.07140","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:27:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KhaqVkJwuXGk73I+VNRpMKjOI9s6zTWTxrTCc8tqFJqRzmUSg1ZUzH8CcUeE4veL1Yzca9iFONAggJclEgfGBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:01:25.119123Z"},"content_sha256":"aff6dd6ee7e11e7408035f6a95017c62986091e98e22f4a7d38bf402dc92c1e0","schema_version":"1.0","event_id":"sha256:aff6dd6ee7e11e7408035f6a95017c62986091e98e22f4a7d38bf402dc92c1e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OMDW4D36UAWVANI6EUER4JXXQG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Lower Bound on Inelasticity in Pion-Pion Scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Andr\\'e Martin, S. M. Roy","submitted_at":"2017-10-19T13:43:53Z","abstract_excerpt":"Assuming that the pion-pion scattering amplitude and its absorptive part are analytic inside an ellipse in $t$- plane with foci $t=0$, $u=0$ and right extremity $t=4 m_{\\pi}^2 +\\epsilon $, ($\\epsilon > 0$), except for cuts prescribed by Mandelstam representation for $t\\geq 4 m_{\\pi}^2$, $u\\geq 4 m_{\\pi}^2$ , and bounded by $s^N$ on the boundary of this domain, we prove that for $s\\rightarrow \\infty$, \\sigma_{inel} (s) > \\frac{Const}{s^{5/2} }\\exp {[-\\frac{\\sqrt{s}}{4} (N+5/2) \\ln {s} ]}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07140","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:27:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OmaAZuTDX1q2+l1ChPob/W6AKB2V53CY2kWqvHR3qs1R+XTVsonOtWWfBWscT/oI8G8nI7FjlQoZI+dhm9mZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:01:25.119471Z"},"content_sha256":"9bb97ea9983dc6a8ba7baa24337fcfaf9c41ce0b900ce505502f8dc6fda9a765","schema_version":"1.0","event_id":"sha256:9bb97ea9983dc6a8ba7baa24337fcfaf9c41ce0b900ce505502f8dc6fda9a765"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OMDW4D36UAWVANI6EUER4JXXQG/bundle.json","state_url":"https://pith.science/pith/OMDW4D36UAWVANI6EUER4JXXQG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OMDW4D36UAWVANI6EUER4JXXQG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T16:01:25Z","links":{"resolver":"https://pith.science/pith/OMDW4D36UAWVANI6EUER4JXXQG","bundle":"https://pith.science/pith/OMDW4D36UAWVANI6EUER4JXXQG/bundle.json","state":"https://pith.science/pith/OMDW4D36UAWVANI6EUER4JXXQG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OMDW4D36UAWVANI6EUER4JXXQG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OMDW4D36UAWVANI6EUER4JXXQG","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":"d706ba446196618e04323a2aa27cc2e44dd9de6346e8ea1f1e509c1589ce460d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-10-19T13:43:53Z","title_canon_sha256":"f4468680a2cdf17c65d234c130dcd855cbf9538c3dde8ae1f8ee59c90b84313c"},"schema_version":"1.0","source":{"id":"1710.07140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07140","created_at":"2026-05-18T00:27:42Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07140v1","created_at":"2026-05-18T00:27:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07140","created_at":"2026-05-18T00:27:42Z"},{"alias_kind":"pith_short_12","alias_value":"OMDW4D36UAWV","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OMDW4D36UAWVANI6","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OMDW4D36","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:9bb97ea9983dc6a8ba7baa24337fcfaf9c41ce0b900ce505502f8dc6fda9a765","target":"graph","created_at":"2026-05-18T00:27:42Z","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":"Assuming that the pion-pion scattering amplitude and its absorptive part are analytic inside an ellipse in $t$- plane with foci $t=0$, $u=0$ and right extremity $t=4 m_{\\pi}^2 +\\epsilon $, ($\\epsilon > 0$), except for cuts prescribed by Mandelstam representation for $t\\geq 4 m_{\\pi}^2$, $u\\geq 4 m_{\\pi}^2$ , and bounded by $s^N$ on the boundary of this domain, we prove that for $s\\rightarrow \\infty$, \\sigma_{inel} (s) > \\frac{Const}{s^{5/2} }\\exp {[-\\frac{\\sqrt{s}}{4} (N+5/2) \\ln {s} ]}.","authors_text":"Andr\\'e Martin, S. M. Roy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-10-19T13:43:53Z","title":"A Lower Bound on Inelasticity in Pion-Pion Scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07140","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:aff6dd6ee7e11e7408035f6a95017c62986091e98e22f4a7d38bf402dc92c1e0","target":"record","created_at":"2026-05-18T00:27:42Z","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":"d706ba446196618e04323a2aa27cc2e44dd9de6346e8ea1f1e509c1589ce460d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-10-19T13:43:53Z","title_canon_sha256":"f4468680a2cdf17c65d234c130dcd855cbf9538c3dde8ae1f8ee59c90b84313c"},"schema_version":"1.0","source":{"id":"1710.07140","kind":"arxiv","version":1}},"canonical_sha256":"73076e0f7ea02d50351e25091e26f781a1ec92459edd9d1aa3a557d115b00b26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73076e0f7ea02d50351e25091e26f781a1ec92459edd9d1aa3a557d115b00b26","first_computed_at":"2026-05-18T00:27:42.529964Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:42.529964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GCd2wF1xOHRkkKvgaDSjEGJvWqXe6+3kCIzPGHJq9NOxuJoHGHNDEwo+/gOdVt/dkl2wg6OhegBp0sOVEcutDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:42.530647Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.07140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aff6dd6ee7e11e7408035f6a95017c62986091e98e22f4a7d38bf402dc92c1e0","sha256:9bb97ea9983dc6a8ba7baa24337fcfaf9c41ce0b900ce505502f8dc6fda9a765"],"state_sha256":"bf1ebe130cd8b510eda8e2547e180b5816d69e6270ddcce20936414ceb84687d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"42c66ghnEprBn5CGYQ5oZvDH4v+lXpuIF6Qn24FRg1TvhBFY8h2zetBm1BZLDWVE6hD1XVwAe2JagrJA3R0+CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:01:25.121376Z","bundle_sha256":"30d2862fc77bc13bfa79811e442d0fe5ed516bd69d1fc1af6b1cb3e045cd7c4e"}}