{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:ZT76MR5UFCB742JJ43G3FURVMD","short_pith_number":"pith:ZT76MR5U","canonical_record":{"source":{"id":"2112.11755","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-22T09:39:54Z","cross_cats_sorted":[],"title_canon_sha256":"6756773f9ee202aa0a01fd62865def48b8afae31449bb26da0f019ec7f124857","abstract_canon_sha256":"8af5441dfce03cfe102741093edc980b2148632b16d96ca979715967eec0c475"},"schema_version":"1.0"},"canonical_sha256":"ccffe647b42883fe6929e6cdb2d23560ecc7b994cb5d86bce57f8839a789d659","source":{"kind":"arxiv","id":"2112.11755","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.11755","created_at":"2026-07-05T04:54:49Z"},{"alias_kind":"arxiv_version","alias_value":"2112.11755v4","created_at":"2026-07-05T04:54:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.11755","created_at":"2026-07-05T04:54:49Z"},{"alias_kind":"pith_short_12","alias_value":"ZT76MR5UFCB7","created_at":"2026-07-05T04:54:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZT76MR5UFCB742JJ","created_at":"2026-07-05T04:54:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZT76MR5U","created_at":"2026-07-05T04:54:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:ZT76MR5UFCB742JJ43G3FURVMD","target":"record","payload":{"canonical_record":{"source":{"id":"2112.11755","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-22T09:39:54Z","cross_cats_sorted":[],"title_canon_sha256":"6756773f9ee202aa0a01fd62865def48b8afae31449bb26da0f019ec7f124857","abstract_canon_sha256":"8af5441dfce03cfe102741093edc980b2148632b16d96ca979715967eec0c475"},"schema_version":"1.0"},"canonical_sha256":"ccffe647b42883fe6929e6cdb2d23560ecc7b994cb5d86bce57f8839a789d659","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:54:49.346962Z","signature_b64":"uFTIA78crid6vPDmztDHn2IE60c4NH4At0BHqKWkLP7ZPpw4Iu+HgNgavDc57MemcX3cP8oM1gG+Ant4X+/kCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ccffe647b42883fe6929e6cdb2d23560ecc7b994cb5d86bce57f8839a789d659","last_reissued_at":"2026-07-05T04:54:49.346524Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:54:49.346524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.11755","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:54:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CUxkk5xXk4qam5koMvviFnmn9/ufWKAZyMKvxR1yijdNhwnkR3eA3lcx1bfmrBLVrc2BP3eVKM776YiiCXgQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:40:03.090657Z"},"content_sha256":"1d9ef420b8c61bbe38ff9d91f39adf4a5768b220306bc792c41ac43e7582f16e","schema_version":"1.0","event_id":"sha256:1d9ef420b8c61bbe38ff9d91f39adf4a5768b220306bc792c41ac43e7582f16e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:ZT76MR5UFCB742JJ43G3FURVMD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crossing Symmetric Spinning S-matrix Bootstrap: EFT bounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Aninda Sinha, Kausik Ghosh, Parthiv Haldar, Prashanth Raman, Subham Dutta Chowdhury","submitted_at":"2021-12-22T09:39:54Z","abstract_excerpt":"We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy Wilson coefficients. We consider scattering of photons, gravitons in weakly coupled effective field theories. We provide general expressions for the locality/null constraints. Consideration of the positivity of the absorptive part leads to an interesting connection with the recently conjectured weak low spin dominance. We also construct the crossing symmetric a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.11755","kind":"arxiv","version":4},"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/2112.11755/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":"2026-07-05T04:54:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fetWotfFVPMcl2DQL3ZWiIhQHTiiA/Fw2iJvpjpAJ7I0rGoCJyCrwfFIJuY5GysWjDKrE9BOnY+uQrDZY2OUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:40:03.091053Z"},"content_sha256":"c8fdfeb224a43d141be52a0f8d09718b79372d710c6d7eda0e8cddcabbafd1aa","schema_version":"1.0","event_id":"sha256:c8fdfeb224a43d141be52a0f8d09718b79372d710c6d7eda0e8cddcabbafd1aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZT76MR5UFCB742JJ43G3FURVMD/bundle.json","state_url":"https://pith.science/pith/ZT76MR5UFCB742JJ43G3FURVMD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZT76MR5UFCB742JJ43G3FURVMD/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":"2026-08-03T21:40:03Z","links":{"resolver":"https://pith.science/pith/ZT76MR5UFCB742JJ43G3FURVMD","bundle":"https://pith.science/pith/ZT76MR5UFCB742JJ43G3FURVMD/bundle.json","state":"https://pith.science/pith/ZT76MR5UFCB742JJ43G3FURVMD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZT76MR5UFCB742JJ43G3FURVMD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ZT76MR5UFCB742JJ43G3FURVMD","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":"8af5441dfce03cfe102741093edc980b2148632b16d96ca979715967eec0c475","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-22T09:39:54Z","title_canon_sha256":"6756773f9ee202aa0a01fd62865def48b8afae31449bb26da0f019ec7f124857"},"schema_version":"1.0","source":{"id":"2112.11755","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.11755","created_at":"2026-07-05T04:54:49Z"},{"alias_kind":"arxiv_version","alias_value":"2112.11755v4","created_at":"2026-07-05T04:54:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.11755","created_at":"2026-07-05T04:54:49Z"},{"alias_kind":"pith_short_12","alias_value":"ZT76MR5UFCB7","created_at":"2026-07-05T04:54:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZT76MR5UFCB742JJ","created_at":"2026-07-05T04:54:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZT76MR5U","created_at":"2026-07-05T04:54:49Z"}],"graph_snapshots":[{"event_id":"sha256:c8fdfeb224a43d141be52a0f8d09718b79372d710c6d7eda0e8cddcabbafd1aa","target":"graph","created_at":"2026-07-05T04:54:49Z","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/2112.11755/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy Wilson coefficients. We consider scattering of photons, gravitons in weakly coupled effective field theories. We provide general expressions for the locality/null constraints. Consideration of the positivity of the absorptive part leads to an interesting connection with the recently conjectured weak low spin dominance. We also construct the crossing symmetric a","authors_text":"Aninda Sinha, Kausik Ghosh, Parthiv Haldar, Prashanth Raman, Subham Dutta Chowdhury","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-22T09:39:54Z","title":"Crossing Symmetric Spinning S-matrix Bootstrap: EFT bounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.11755","kind":"arxiv","version":4},"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":"sha256:1d9ef420b8c61bbe38ff9d91f39adf4a5768b220306bc792c41ac43e7582f16e","target":"record","created_at":"2026-07-05T04:54:49Z","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":"8af5441dfce03cfe102741093edc980b2148632b16d96ca979715967eec0c475","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-22T09:39:54Z","title_canon_sha256":"6756773f9ee202aa0a01fd62865def48b8afae31449bb26da0f019ec7f124857"},"schema_version":"1.0","source":{"id":"2112.11755","kind":"arxiv","version":4}},"canonical_sha256":"ccffe647b42883fe6929e6cdb2d23560ecc7b994cb5d86bce57f8839a789d659","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccffe647b42883fe6929e6cdb2d23560ecc7b994cb5d86bce57f8839a789d659","first_computed_at":"2026-07-05T04:54:49.346524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:54:49.346524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uFTIA78crid6vPDmztDHn2IE60c4NH4At0BHqKWkLP7ZPpw4Iu+HgNgavDc57MemcX3cP8oM1gG+Ant4X+/kCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:54:49.346962Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.11755","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d9ef420b8c61bbe38ff9d91f39adf4a5768b220306bc792c41ac43e7582f16e","sha256:c8fdfeb224a43d141be52a0f8d09718b79372d710c6d7eda0e8cddcabbafd1aa"],"state_sha256":"9af91f5c8c95c1fe3e4d1970e880bf84af77f3fe7ebdbc8676b066a8db5f4a85"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5JaetC6VqC4UCIjXsgaJ62lXzRyOj87Mn3/WoN6QJtt9pwVnkjxjE5BsYP65wulsOvWug4gTp/EQP3BXNO1uAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T21:40:03.094125Z","bundle_sha256":"0c82e10658929d86dfb3ccc98ca2dd7a5cb5926b222e2b8c097dbed03f958f1a"}}