{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:OWA4NFNKYVNMNXZO2DYXQHVMHM","short_pith_number":"pith:OWA4NFNK","canonical_record":{"source":{"id":"2406.04410","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-06T18:00:23Z","cross_cats_sorted":[],"title_canon_sha256":"08c97ed034c4c3a6434f53bf1f73d917827a0f22ff894d2ba1b6bd15e0813ae2","abstract_canon_sha256":"849d83b9292c9c486aee96af91b5bdfd7d6a6b6504ef1fa2c97559b830535407"},"schema_version":"1.0"},"canonical_sha256":"7581c695aac55ac6df2ed0f1781eac3b087dbfecec26a0d77b1721e8c184eb7c","source":{"kind":"arxiv","id":"2406.04410","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.04410","created_at":"2026-07-05T09:46:47Z"},{"alias_kind":"arxiv_version","alias_value":"2406.04410v2","created_at":"2026-07-05T09:46:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.04410","created_at":"2026-07-05T09:46:47Z"},{"alias_kind":"pith_short_12","alias_value":"OWA4NFNKYVNM","created_at":"2026-07-05T09:46:47Z"},{"alias_kind":"pith_short_16","alias_value":"OWA4NFNKYVNMNXZO","created_at":"2026-07-05T09:46:47Z"},{"alias_kind":"pith_short_8","alias_value":"OWA4NFNK","created_at":"2026-07-05T09:46:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:OWA4NFNKYVNMNXZO2DYXQHVMHM","target":"record","payload":{"canonical_record":{"source":{"id":"2406.04410","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-06T18:00:23Z","cross_cats_sorted":[],"title_canon_sha256":"08c97ed034c4c3a6434f53bf1f73d917827a0f22ff894d2ba1b6bd15e0813ae2","abstract_canon_sha256":"849d83b9292c9c486aee96af91b5bdfd7d6a6b6504ef1fa2c97559b830535407"},"schema_version":"1.0"},"canonical_sha256":"7581c695aac55ac6df2ed0f1781eac3b087dbfecec26a0d77b1721e8c184eb7c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:46:47.545477Z","signature_b64":"+xwllnrf9IyoR+FN7Dnr5bmElzLMELsT6rdF6I2vnwKTiSeTyRscgscWVUjz417m3wxkht55sFBjjTLdEPRCBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7581c695aac55ac6df2ed0f1781eac3b087dbfecec26a0d77b1721e8c184eb7c","last_reissued_at":"2026-07-05T09:46:47.544969Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:46:47.544969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.04410","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":"2026-07-05T09:46:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hM2WVb5F9LQVlfhdLWzb+zExOy6cj/O5vaaq0HC/uwnjjHiWsUoCqx0+LKqx1oJwzORDqnuuV6nxlNzTFHAxAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T19:47:16.410323Z"},"content_sha256":"015c6fbde1217218272b1057380302c7d7cdd9d40407989ddc52f6a111dc9016","schema_version":"1.0","event_id":"sha256:015c6fbde1217218272b1057380302c7d7cdd9d40407989ddc52f6a111dc9016"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:OWA4NFNKYVNMNXZO2DYXQHVMHM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Unitarity of Bespoke Amplitudes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anastasia Volovich, He-Chen Weng, Marcus Spradlin, Rishabh Bhardwaj","submitted_at":"2024-06-06T18:00:23Z","abstract_excerpt":"We use partial wave unitarity to constrain various bespoke four-point amplitudes. We start by constructing bespoke generalizations of the type I superstring amplitude, which we show satisfy dual resonance and have suitable high-energy limits. By analyzing the behavior of partial wave coefficients for highly massive states, we strictly rule out all bespoke amplitudes with asymptotically non-linear Regge trajectories and place constraints on the first few non-trivial parameters in asymptotically linear cases. Finally, we argue that while a large class of unitary bespoke amplitudes fails to satis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.04410","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.04410/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:46:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pR0AcodDFTWsGh1KXUqWZp12rO591sfL6dbRvWh1IXSwJ55IRthdvh+LqTdGpy0WvBBIRRfPgqGW/gvUCC3ICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T19:47:16.410807Z"},"content_sha256":"cac6d3bd338a55ada92413f431f48938193ecf0ae70c52690ff489838779f209","schema_version":"1.0","event_id":"sha256:cac6d3bd338a55ada92413f431f48938193ecf0ae70c52690ff489838779f209"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OWA4NFNKYVNMNXZO2DYXQHVMHM/bundle.json","state_url":"https://pith.science/pith/OWA4NFNKYVNMNXZO2DYXQHVMHM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OWA4NFNKYVNMNXZO2DYXQHVMHM/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":"2026-08-14T19:47:16Z","links":{"resolver":"https://pith.science/pith/OWA4NFNKYVNMNXZO2DYXQHVMHM","bundle":"https://pith.science/pith/OWA4NFNKYVNMNXZO2DYXQHVMHM/bundle.json","state":"https://pith.science/pith/OWA4NFNKYVNMNXZO2DYXQHVMHM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OWA4NFNKYVNMNXZO2DYXQHVMHM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OWA4NFNKYVNMNXZO2DYXQHVMHM","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":"849d83b9292c9c486aee96af91b5bdfd7d6a6b6504ef1fa2c97559b830535407","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-06T18:00:23Z","title_canon_sha256":"08c97ed034c4c3a6434f53bf1f73d917827a0f22ff894d2ba1b6bd15e0813ae2"},"schema_version":"1.0","source":{"id":"2406.04410","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.04410","created_at":"2026-07-05T09:46:47Z"},{"alias_kind":"arxiv_version","alias_value":"2406.04410v2","created_at":"2026-07-05T09:46:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.04410","created_at":"2026-07-05T09:46:47Z"},{"alias_kind":"pith_short_12","alias_value":"OWA4NFNKYVNM","created_at":"2026-07-05T09:46:47Z"},{"alias_kind":"pith_short_16","alias_value":"OWA4NFNKYVNMNXZO","created_at":"2026-07-05T09:46:47Z"},{"alias_kind":"pith_short_8","alias_value":"OWA4NFNK","created_at":"2026-07-05T09:46:47Z"}],"graph_snapshots":[{"event_id":"sha256:cac6d3bd338a55ada92413f431f48938193ecf0ae70c52690ff489838779f209","target":"graph","created_at":"2026-07-05T09:46:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2406.04410/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use partial wave unitarity to constrain various bespoke four-point amplitudes. We start by constructing bespoke generalizations of the type I superstring amplitude, which we show satisfy dual resonance and have suitable high-energy limits. By analyzing the behavior of partial wave coefficients for highly massive states, we strictly rule out all bespoke amplitudes with asymptotically non-linear Regge trajectories and place constraints on the first few non-trivial parameters in asymptotically linear cases. Finally, we argue that while a large class of unitary bespoke amplitudes fails to satis","authors_text":"Anastasia Volovich, He-Chen Weng, Marcus Spradlin, Rishabh Bhardwaj","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-06T18:00:23Z","title":"On Unitarity of Bespoke Amplitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.04410","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":"sha256:015c6fbde1217218272b1057380302c7d7cdd9d40407989ddc52f6a111dc9016","target":"record","created_at":"2026-07-05T09:46:47Z","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":"849d83b9292c9c486aee96af91b5bdfd7d6a6b6504ef1fa2c97559b830535407","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-06T18:00:23Z","title_canon_sha256":"08c97ed034c4c3a6434f53bf1f73d917827a0f22ff894d2ba1b6bd15e0813ae2"},"schema_version":"1.0","source":{"id":"2406.04410","kind":"arxiv","version":2}},"canonical_sha256":"7581c695aac55ac6df2ed0f1781eac3b087dbfecec26a0d77b1721e8c184eb7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7581c695aac55ac6df2ed0f1781eac3b087dbfecec26a0d77b1721e8c184eb7c","first_computed_at":"2026-07-05T09:46:47.544969Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:46:47.544969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+xwllnrf9IyoR+FN7Dnr5bmElzLMELsT6rdF6I2vnwKTiSeTyRscgscWVUjz417m3wxkht55sFBjjTLdEPRCBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:46:47.545477Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.04410","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:015c6fbde1217218272b1057380302c7d7cdd9d40407989ddc52f6a111dc9016","sha256:cac6d3bd338a55ada92413f431f48938193ecf0ae70c52690ff489838779f209"],"state_sha256":"dad480a5c727021f7ff7b12fdc7d3813e9b96b2ac6604034436d47870782250c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1oYC+6Y1VvB5coFC30ZfLMeWAvZPARSUDD/rISIXUwSjLMv7qBOqmjgz7OoxD54z/gsaIqLn7QAwTeDoDV+vBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T19:47:16.431064Z","bundle_sha256":"8fb819fabf4bee0ae1b5a0d8629a2cf38de556596b0bde3d198a761cabffacdf"}}