{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:324I7ZB4PE2ZP7J4AUFVWAU3A2","short_pith_number":"pith:324I7ZB4","canonical_record":{"source":{"id":"1707.08135","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-25T18:03:22Z","cross_cats_sorted":[],"title_canon_sha256":"26f48ec211651a7c85623fb4d8a5ef70ffe7f4e24a080a0564043cbf56debaf0","abstract_canon_sha256":"f6392939319a2d75ed2027741c40849776d85295607837894b4b4d9f820508ff"},"schema_version":"1.0"},"canonical_sha256":"deb88fe43c793597fd3c050b5b029b069d01b1cabe89728ca31706525a5d5b35","source":{"kind":"arxiv","id":"1707.08135","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08135","created_at":"2026-05-18T00:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08135v2","created_at":"2026-05-18T00:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08135","created_at":"2026-05-18T00:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"324I7ZB4PE2Z","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"324I7ZB4PE2ZP7J4","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"324I7ZB4","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:324I7ZB4PE2ZP7J4AUFVWAU3A2","target":"record","payload":{"canonical_record":{"source":{"id":"1707.08135","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-25T18:03:22Z","cross_cats_sorted":[],"title_canon_sha256":"26f48ec211651a7c85623fb4d8a5ef70ffe7f4e24a080a0564043cbf56debaf0","abstract_canon_sha256":"f6392939319a2d75ed2027741c40849776d85295607837894b4b4d9f820508ff"},"schema_version":"1.0"},"canonical_sha256":"deb88fe43c793597fd3c050b5b029b069d01b1cabe89728ca31706525a5d5b35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:36.011015Z","signature_b64":"ltXvlH3wAPxiT8gTzw9qGO1F/SwjBBM4ABS9fYgiO+F8FUNdQqCkMBmbergJe6BtdIso2UVzmO6wQErCapI2BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"deb88fe43c793597fd3c050b5b029b069d01b1cabe89728ca31706525a5d5b35","last_reissued_at":"2026-05-18T00:32:36.010208Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:36.010208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.08135","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pDnW4ooEqU3x42GVqrh80FI/pWVmYSKZEaAOpRgXdZNcHMhGu7zUlov0U01/2SPRiBqiq/VB4Z8AiYKYbLmuBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:14:40.035216Z"},"content_sha256":"5c340c76a1f1c4b9854cdb2bebdf7ab30462c6c2fa2c1ea854daeccd386bdf31","schema_version":"1.0","event_id":"sha256:5c340c76a1f1c4b9854cdb2bebdf7ab30462c6c2fa2c1ea854daeccd386bdf31"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:324I7ZB4PE2ZP7J4AUFVWAU3A2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Note on S-Matrix Bootstrap for Amplitudes with Linear Spectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Pranjal Nayak, Rohan R. Poojary, Ronak M Soni","submitted_at":"2017-07-25T18:03:22Z","abstract_excerpt":"We work out constraints imposed by channel duality and analyticity on tree-level amplitudes of four identical real scalars, with the assumptions of a linear spectrum of exchanged particles and Regge asymptotic behaviour. We reduce the requirement of channel duality to a countably infinite set of equations in the general case. We show that channel duality uniquely fixes the soft Regge behaviour of the amplitudes to that found in String theory, $(-s)^{2t}$. Specialising to the case of tachyonic external particles, we use channel duality to show that the amplitude can be any one in an infinite-di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08135","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1DgvTsKM7G1JYbsvprrMY3rFxfdRuxRKzyeimESBkWkXFFcGDZjsrcHRDt3KR+BGYvT1BvAN2gxGGeUIwvZ/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:14:40.036033Z"},"content_sha256":"69f32e316d35b704e46c882f3616995d19d9ca273b18386bb89f10a55b3109e2","schema_version":"1.0","event_id":"sha256:69f32e316d35b704e46c882f3616995d19d9ca273b18386bb89f10a55b3109e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/324I7ZB4PE2ZP7J4AUFVWAU3A2/bundle.json","state_url":"https://pith.science/pith/324I7ZB4PE2ZP7J4AUFVWAU3A2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/324I7ZB4PE2ZP7J4AUFVWAU3A2/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":"2026-05-31T12:14:40Z","links":{"resolver":"https://pith.science/pith/324I7ZB4PE2ZP7J4AUFVWAU3A2","bundle":"https://pith.science/pith/324I7ZB4PE2ZP7J4AUFVWAU3A2/bundle.json","state":"https://pith.science/pith/324I7ZB4PE2ZP7J4AUFVWAU3A2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/324I7ZB4PE2ZP7J4AUFVWAU3A2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:324I7ZB4PE2ZP7J4AUFVWAU3A2","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":"f6392939319a2d75ed2027741c40849776d85295607837894b4b4d9f820508ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-25T18:03:22Z","title_canon_sha256":"26f48ec211651a7c85623fb4d8a5ef70ffe7f4e24a080a0564043cbf56debaf0"},"schema_version":"1.0","source":{"id":"1707.08135","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08135","created_at":"2026-05-18T00:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08135v2","created_at":"2026-05-18T00:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08135","created_at":"2026-05-18T00:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"324I7ZB4PE2Z","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"324I7ZB4PE2ZP7J4","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"324I7ZB4","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:69f32e316d35b704e46c882f3616995d19d9ca273b18386bb89f10a55b3109e2","target":"graph","created_at":"2026-05-18T00:32:36Z","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 work out constraints imposed by channel duality and analyticity on tree-level amplitudes of four identical real scalars, with the assumptions of a linear spectrum of exchanged particles and Regge asymptotic behaviour. We reduce the requirement of channel duality to a countably infinite set of equations in the general case. We show that channel duality uniquely fixes the soft Regge behaviour of the amplitudes to that found in String theory, $(-s)^{2t}$. Specialising to the case of tachyonic external particles, we use channel duality to show that the amplitude can be any one in an infinite-di","authors_text":"Pranjal Nayak, Rohan R. Poojary, Ronak M Soni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-25T18:03:22Z","title":"A Note on S-Matrix Bootstrap for Amplitudes with Linear Spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08135","kind":"arxiv","version":2},"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":"sha256:5c340c76a1f1c4b9854cdb2bebdf7ab30462c6c2fa2c1ea854daeccd386bdf31","target":"record","created_at":"2026-05-18T00:32:36Z","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":"f6392939319a2d75ed2027741c40849776d85295607837894b4b4d9f820508ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-25T18:03:22Z","title_canon_sha256":"26f48ec211651a7c85623fb4d8a5ef70ffe7f4e24a080a0564043cbf56debaf0"},"schema_version":"1.0","source":{"id":"1707.08135","kind":"arxiv","version":2}},"canonical_sha256":"deb88fe43c793597fd3c050b5b029b069d01b1cabe89728ca31706525a5d5b35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"deb88fe43c793597fd3c050b5b029b069d01b1cabe89728ca31706525a5d5b35","first_computed_at":"2026-05-18T00:32:36.010208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:36.010208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ltXvlH3wAPxiT8gTzw9qGO1F/SwjBBM4ABS9fYgiO+F8FUNdQqCkMBmbergJe6BtdIso2UVzmO6wQErCapI2BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:36.011015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.08135","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c340c76a1f1c4b9854cdb2bebdf7ab30462c6c2fa2c1ea854daeccd386bdf31","sha256:69f32e316d35b704e46c882f3616995d19d9ca273b18386bb89f10a55b3109e2"],"state_sha256":"5b6e9d303233496ca735080bbc347f4861abb23b3e405649a3664bb20feb2b15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8pxZxmEvDv+tWYDgWRZuk2+HOC94YpBtaJD9rxEf2t0tMs1IAYqkkuIB1YfdUMTV8vTjQmV7OhjZidwMhn+nCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:14:40.039895Z","bundle_sha256":"0dceac15bda9e11e872e9003dcb5724b73439b573549d6e719969fbc9ec02f00"}}