{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:46ZGOA2UOM3UPGISUL3EF5WQAM","short_pith_number":"pith:46ZGOA2U","canonical_record":{"source":{"id":"2007.12667","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-24T17:33:16Z","cross_cats_sorted":[],"title_canon_sha256":"58829bacb05fca41cdd657f86902fbc92b0999995d49b09476c84d32c0b82b9f","abstract_canon_sha256":"652d20984e32b1abf623a8b3cec16f03cee79d108ca4631b2994dc9ca2aca60a"},"schema_version":"1.0"},"canonical_sha256":"e7b26703547337479912a2f642f6d0030bf63953a3b297ee4fb746d27795003b","source":{"kind":"arxiv","id":"2007.12667","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.12667","created_at":"2026-07-05T02:03:37Z"},{"alias_kind":"arxiv_version","alias_value":"2007.12667v2","created_at":"2026-07-05T02:03:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.12667","created_at":"2026-07-05T02:03:37Z"},{"alias_kind":"pith_short_12","alias_value":"46ZGOA2UOM3U","created_at":"2026-07-05T02:03:37Z"},{"alias_kind":"pith_short_16","alias_value":"46ZGOA2UOM3UPGIS","created_at":"2026-07-05T02:03:37Z"},{"alias_kind":"pith_short_8","alias_value":"46ZGOA2U","created_at":"2026-07-05T02:03:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:46ZGOA2UOM3UPGISUL3EF5WQAM","target":"record","payload":{"canonical_record":{"source":{"id":"2007.12667","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-24T17:33:16Z","cross_cats_sorted":[],"title_canon_sha256":"58829bacb05fca41cdd657f86902fbc92b0999995d49b09476c84d32c0b82b9f","abstract_canon_sha256":"652d20984e32b1abf623a8b3cec16f03cee79d108ca4631b2994dc9ca2aca60a"},"schema_version":"1.0"},"canonical_sha256":"e7b26703547337479912a2f642f6d0030bf63953a3b297ee4fb746d27795003b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:03:37.617582Z","signature_b64":"0Rb2gtZooCkIuKAsOD4gcHdHk/eKwJjl9sCDJ4jzqJskKVFJU8t79mwewoC4UJevNoeoEHa4R2AipZ2t9lyWAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7b26703547337479912a2f642f6d0030bf63953a3b297ee4fb746d27795003b","last_reissued_at":"2026-07-05T02:03:37.617119Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:03:37.617119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2007.12667","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":"2026-07-05T02:03:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/qkxGTVPbHIdGZw9QF68djJq5r7yPrlB15zgKdSPIKPRRX4C2sh9+YvRht9HdC+9L3yD5vODxhW3LXd/mTzSDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:27:47.162139Z"},"content_sha256":"49345a373fcdeb2b57d749ce84b2dd7009f2888224b78595c538935c246bda03","schema_version":"1.0","event_id":"sha256:49345a373fcdeb2b57d749ce84b2dd7009f2888224b78595c538935c246bda03"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:46ZGOA2UOM3UPGISUL3EF5WQAM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Positivity Bounds and the Massless Spin-2 Pole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andrew J. Tolley, Claudia de Rham, Lasma Alberte, Sumer Jaitly","submitted_at":"2020-07-24T17:33:16Z","abstract_excerpt":"The presence of a massless spin-2 field in an effective field theory results in a $t$-channel pole in the scattering amplitudes that precludes the application of standard positivity bounds. Despite this, recent arguments based on compactification to three dimensions have suggested that positivity bounds may be applied to the $t$-channel pole subtracted amplitude. If correct this would have deep implications for UV physics and the Weak Gravity Conjecture. Within the context of a simple renormalizable field theory coupled to gravity we find that applying these arguments would constrain the low-e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.12667","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/2007.12667/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":"2026-07-05T02:03:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cYGfVCYyaIxlP1+lwrrvm9z9IM8d58AITJf+cLrzPo9qJ/xL4pc0IaL/W5GqGPPMhYtgGc18uRond6J9nkAMDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:27:47.162670Z"},"content_sha256":"e3ff0095d7c2c1f2ca7dc1e36a6dd8bd55ba3ef1a68399384ce99eb7f51122f2","schema_version":"1.0","event_id":"sha256:e3ff0095d7c2c1f2ca7dc1e36a6dd8bd55ba3ef1a68399384ce99eb7f51122f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/46ZGOA2UOM3UPGISUL3EF5WQAM/bundle.json","state_url":"https://pith.science/pith/46ZGOA2UOM3UPGISUL3EF5WQAM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/46ZGOA2UOM3UPGISUL3EF5WQAM/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":"2026-08-13T03:27:47Z","links":{"resolver":"https://pith.science/pith/46ZGOA2UOM3UPGISUL3EF5WQAM","bundle":"https://pith.science/pith/46ZGOA2UOM3UPGISUL3EF5WQAM/bundle.json","state":"https://pith.science/pith/46ZGOA2UOM3UPGISUL3EF5WQAM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/46ZGOA2UOM3UPGISUL3EF5WQAM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:46ZGOA2UOM3UPGISUL3EF5WQAM","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":"652d20984e32b1abf623a8b3cec16f03cee79d108ca4631b2994dc9ca2aca60a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-24T17:33:16Z","title_canon_sha256":"58829bacb05fca41cdd657f86902fbc92b0999995d49b09476c84d32c0b82b9f"},"schema_version":"1.0","source":{"id":"2007.12667","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.12667","created_at":"2026-07-05T02:03:37Z"},{"alias_kind":"arxiv_version","alias_value":"2007.12667v2","created_at":"2026-07-05T02:03:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.12667","created_at":"2026-07-05T02:03:37Z"},{"alias_kind":"pith_short_12","alias_value":"46ZGOA2UOM3U","created_at":"2026-07-05T02:03:37Z"},{"alias_kind":"pith_short_16","alias_value":"46ZGOA2UOM3UPGIS","created_at":"2026-07-05T02:03:37Z"},{"alias_kind":"pith_short_8","alias_value":"46ZGOA2U","created_at":"2026-07-05T02:03:37Z"}],"graph_snapshots":[{"event_id":"sha256:e3ff0095d7c2c1f2ca7dc1e36a6dd8bd55ba3ef1a68399384ce99eb7f51122f2","target":"graph","created_at":"2026-07-05T02:03:37Z","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/2007.12667/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The presence of a massless spin-2 field in an effective field theory results in a $t$-channel pole in the scattering amplitudes that precludes the application of standard positivity bounds. Despite this, recent arguments based on compactification to three dimensions have suggested that positivity bounds may be applied to the $t$-channel pole subtracted amplitude. If correct this would have deep implications for UV physics and the Weak Gravity Conjecture. Within the context of a simple renormalizable field theory coupled to gravity we find that applying these arguments would constrain the low-e","authors_text":"Andrew J. Tolley, Claudia de Rham, Lasma Alberte, Sumer Jaitly","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-24T17:33:16Z","title":"Positivity Bounds and the Massless Spin-2 Pole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.12667","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":"sha256:49345a373fcdeb2b57d749ce84b2dd7009f2888224b78595c538935c246bda03","target":"record","created_at":"2026-07-05T02:03:37Z","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":"652d20984e32b1abf623a8b3cec16f03cee79d108ca4631b2994dc9ca2aca60a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-24T17:33:16Z","title_canon_sha256":"58829bacb05fca41cdd657f86902fbc92b0999995d49b09476c84d32c0b82b9f"},"schema_version":"1.0","source":{"id":"2007.12667","kind":"arxiv","version":2}},"canonical_sha256":"e7b26703547337479912a2f642f6d0030bf63953a3b297ee4fb746d27795003b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7b26703547337479912a2f642f6d0030bf63953a3b297ee4fb746d27795003b","first_computed_at":"2026-07-05T02:03:37.617119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:03:37.617119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Rb2gtZooCkIuKAsOD4gcHdHk/eKwJjl9sCDJ4jzqJskKVFJU8t79mwewoC4UJevNoeoEHa4R2AipZ2t9lyWAA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:03:37.617582Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.12667","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49345a373fcdeb2b57d749ce84b2dd7009f2888224b78595c538935c246bda03","sha256:e3ff0095d7c2c1f2ca7dc1e36a6dd8bd55ba3ef1a68399384ce99eb7f51122f2"],"state_sha256":"bb0e21e17bb4bf14c7dfc5fe01738eee9619f9f63722297b7f9c9b26823b6155"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2emFp5l5qxpkgRzID4MA3L0o5yMRJmiEbBD3f23f4MN85gn91Kk/hivrvwyF+P52F4P+pIGJZWD/0dbm0vQ3Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T03:27:47.167545Z","bundle_sha256":"73980bdcb1f0285fc3d057a6ea8042c80018059e29f60efbea46a9f8b73dd9cd"}}