{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:J3RQ3SWPDVSNOGY454LAY7NLCF","short_pith_number":"pith:J3RQ3SWP","canonical_record":{"source":{"id":"2106.05301","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-09T18:00:13Z","cross_cats_sorted":[],"title_canon_sha256":"d60e2956653714a78b79757fd22b887840f3bc7b396428028d81030bbb88752e","abstract_canon_sha256":"1d79d4bcafa973fb0a4fa45ffd3ca2cce9b3c5dd5cfb8b0b6a8ea5b662155e5a"},"schema_version":"1.0"},"canonical_sha256":"4ee30dcacf1d64d71b1cef160c7dab117cf5f6c570452303241de7f5a2f7e438","source":{"kind":"arxiv","id":"2106.05301","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.05301","created_at":"2026-07-05T03:33:44Z"},{"alias_kind":"arxiv_version","alias_value":"2106.05301v2","created_at":"2026-07-05T03:33:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.05301","created_at":"2026-07-05T03:33:44Z"},{"alias_kind":"pith_short_12","alias_value":"J3RQ3SWPDVSN","created_at":"2026-07-05T03:33:44Z"},{"alias_kind":"pith_short_16","alias_value":"J3RQ3SWPDVSNOGY4","created_at":"2026-07-05T03:33:44Z"},{"alias_kind":"pith_short_8","alias_value":"J3RQ3SWP","created_at":"2026-07-05T03:33:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:J3RQ3SWPDVSNOGY454LAY7NLCF","target":"record","payload":{"canonical_record":{"source":{"id":"2106.05301","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-09T18:00:13Z","cross_cats_sorted":[],"title_canon_sha256":"d60e2956653714a78b79757fd22b887840f3bc7b396428028d81030bbb88752e","abstract_canon_sha256":"1d79d4bcafa973fb0a4fa45ffd3ca2cce9b3c5dd5cfb8b0b6a8ea5b662155e5a"},"schema_version":"1.0"},"canonical_sha256":"4ee30dcacf1d64d71b1cef160c7dab117cf5f6c570452303241de7f5a2f7e438","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:33:44.326147Z","signature_b64":"5MZ3vwyaakrix8Ef1DT5MrVtu0pYoFzMbQAu0u+9R7Zz6B/3baAOl5L3fF/k3ZedOYLGTOp1RHP+S8xymangCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ee30dcacf1d64d71b1cef160c7dab117cf5f6c570452303241de7f5a2f7e438","last_reissued_at":"2026-07-05T03:33:44.325634Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:33:44.325634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2106.05301","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":"2026-07-05T03:33:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sMnQICIdUmnOHWZjy6GqdmtTqsskWPMri8AJbNMKooWnQOrc9rwDsxsMYBAbnaeTcFfYpYKkU6tTA218vgKkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:56:19.112213Z"},"content_sha256":"a2032b1fe1a1656fcb45833c702c3c1dfec388aefb6f425751deb53eca989118","schema_version":"1.0","event_id":"sha256:a2032b1fe1a1656fcb45833c702c3c1dfec388aefb6f425751deb53eca989118"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:J3RQ3SWPDVSNOGY454LAY7NLCF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spinning amplitudes from scalar amplitudes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Arnab Rudra, Mahesh KN Balasubramanian, Raj Patil","submitted_at":"2021-06-09T18:00:13Z","abstract_excerpt":"We provide a systematic method to compute tree-level scattering amplitudes with spinning external states from amplitudes with scalar external states in arbitrary spacetime dimensions. We write down analytic answers for various scattering amplitudes, including the four graviton amplitude due to the massive spin $J$ exchange. We verify the results by computing angular distributions in 3 + 1 dimensions using various identities involving Jacobi polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.05301","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/2106.05301/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":"2026-07-05T03:33:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ti3S8g9aGOwSXpoK5HRdIJkm4C7nrLv03eCPSDKh+qCqEyIJocHqGz13lzfPi11i8xlDv3GeK9ykeqQS4jSyBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:56:19.113179Z"},"content_sha256":"ab6ac7baabf3e4029deef11ab639e500da5777bb77920a8cbeda7bbd0bb56745","schema_version":"1.0","event_id":"sha256:ab6ac7baabf3e4029deef11ab639e500da5777bb77920a8cbeda7bbd0bb56745"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J3RQ3SWPDVSNOGY454LAY7NLCF/bundle.json","state_url":"https://pith.science/pith/J3RQ3SWPDVSNOGY454LAY7NLCF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J3RQ3SWPDVSNOGY454LAY7NLCF/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":"2026-08-08T14:56:19Z","links":{"resolver":"https://pith.science/pith/J3RQ3SWPDVSNOGY454LAY7NLCF","bundle":"https://pith.science/pith/J3RQ3SWPDVSNOGY454LAY7NLCF/bundle.json","state":"https://pith.science/pith/J3RQ3SWPDVSNOGY454LAY7NLCF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J3RQ3SWPDVSNOGY454LAY7NLCF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:J3RQ3SWPDVSNOGY454LAY7NLCF","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":"1d79d4bcafa973fb0a4fa45ffd3ca2cce9b3c5dd5cfb8b0b6a8ea5b662155e5a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-09T18:00:13Z","title_canon_sha256":"d60e2956653714a78b79757fd22b887840f3bc7b396428028d81030bbb88752e"},"schema_version":"1.0","source":{"id":"2106.05301","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.05301","created_at":"2026-07-05T03:33:44Z"},{"alias_kind":"arxiv_version","alias_value":"2106.05301v2","created_at":"2026-07-05T03:33:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.05301","created_at":"2026-07-05T03:33:44Z"},{"alias_kind":"pith_short_12","alias_value":"J3RQ3SWPDVSN","created_at":"2026-07-05T03:33:44Z"},{"alias_kind":"pith_short_16","alias_value":"J3RQ3SWPDVSNOGY4","created_at":"2026-07-05T03:33:44Z"},{"alias_kind":"pith_short_8","alias_value":"J3RQ3SWP","created_at":"2026-07-05T03:33:44Z"}],"graph_snapshots":[{"event_id":"sha256:ab6ac7baabf3e4029deef11ab639e500da5777bb77920a8cbeda7bbd0bb56745","target":"graph","created_at":"2026-07-05T03:33:44Z","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/2106.05301/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a systematic method to compute tree-level scattering amplitudes with spinning external states from amplitudes with scalar external states in arbitrary spacetime dimensions. We write down analytic answers for various scattering amplitudes, including the four graviton amplitude due to the massive spin $J$ exchange. We verify the results by computing angular distributions in 3 + 1 dimensions using various identities involving Jacobi polynomials.","authors_text":"Arnab Rudra, Mahesh KN Balasubramanian, Raj Patil","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-09T18:00:13Z","title":"Spinning amplitudes from scalar amplitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.05301","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:a2032b1fe1a1656fcb45833c702c3c1dfec388aefb6f425751deb53eca989118","target":"record","created_at":"2026-07-05T03:33:44Z","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":"1d79d4bcafa973fb0a4fa45ffd3ca2cce9b3c5dd5cfb8b0b6a8ea5b662155e5a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-09T18:00:13Z","title_canon_sha256":"d60e2956653714a78b79757fd22b887840f3bc7b396428028d81030bbb88752e"},"schema_version":"1.0","source":{"id":"2106.05301","kind":"arxiv","version":2}},"canonical_sha256":"4ee30dcacf1d64d71b1cef160c7dab117cf5f6c570452303241de7f5a2f7e438","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ee30dcacf1d64d71b1cef160c7dab117cf5f6c570452303241de7f5a2f7e438","first_computed_at":"2026-07-05T03:33:44.325634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:33:44.325634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5MZ3vwyaakrix8Ef1DT5MrVtu0pYoFzMbQAu0u+9R7Zz6B/3baAOl5L3fF/k3ZedOYLGTOp1RHP+S8xymangCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:33:44.326147Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.05301","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2032b1fe1a1656fcb45833c702c3c1dfec388aefb6f425751deb53eca989118","sha256:ab6ac7baabf3e4029deef11ab639e500da5777bb77920a8cbeda7bbd0bb56745"],"state_sha256":"c0ae935c226006b11b521f02e3a2775808de43e0a2e53b91d2128ec912a9dc3c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TgNgPnE5r95PbID/YkoP67cKCjYHcthmi5C9rdmMHG/JHepAqkk9b3Szesba+i8bYd+CAzq6O89gn5JxdqCUCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T14:56:19.119229Z","bundle_sha256":"7e2d23a9345ba8480533a4471af94b98e48b137d45946e1a441f066b484cd7b5"}}