{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:RZ3DQX3EB6TBO3R7G5HP57WY2S","short_pith_number":"pith:RZ3DQX3E","schema_version":"1.0","canonical_sha256":"8e76385f640fa6176e3f374efefed8d4abd4f0b5c0841832bda6e90eb0fa8ad7","source":{"kind":"arxiv","id":"2411.14422","version":2},"attestation_state":"computed","paper":{"title":"Bootstrapping the Chiral-Gravitational Anomaly","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Alex Pomarol, Francesco Sciotti, Teng Ma, Zi-Yu Dong","submitted_at":"2024-11-21T18:55:09Z","abstract_excerpt":"We analyze causality and unitarity constraints in graviton scattering amplitudes, aiming to establish new bounds on theories with $U(1)$-gravitational anomalies, such as axion models or strongly-coupled gauge theories. For this purpose, we show the necessity of coupling these theories to gravity. We obtain a universal scale $\\Lambda_{\\rm caus}$ at which states with $J\\geq 4$ must appear in the theory. We show that this scale can lie below the quantum gravity scale. For axion models, we get $\\Lambda_{\\rm caus}\\sim\\sqrt{M_P f_a}$ where $f_a$ is the axion decay constant. In strongly-coupled gauge"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2411.14422","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-11-21T18:55:09Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"b4aabdb058a4030bdc64e882d2fad60dc33169049a28b9c1abd3eb8c7a5b2432","abstract_canon_sha256":"11be4720d2d3f1c39c8c092cdb23bb724d06a678d06d528a490ddffd48ad5504"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:00:43.851341Z","signature_b64":"nDB+B0d3z+aVvIAbofhm5fvwFw2H0eh89VD1Qo67xMoGsnFwsrdi6On3nesBAbCvdi7Da5RFWQ/h+BXA+LnpAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e76385f640fa6176e3f374efefed8d4abd4f0b5c0841832bda6e90eb0fa8ad7","last_reissued_at":"2026-07-05T10:00:43.850904Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:00:43.850904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bootstrapping the Chiral-Gravitational Anomaly","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Alex Pomarol, Francesco Sciotti, Teng Ma, Zi-Yu Dong","submitted_at":"2024-11-21T18:55:09Z","abstract_excerpt":"We analyze causality and unitarity constraints in graviton scattering amplitudes, aiming to establish new bounds on theories with $U(1)$-gravitational anomalies, such as axion models or strongly-coupled gauge theories. For this purpose, we show the necessity of coupling these theories to gravity. We obtain a universal scale $\\Lambda_{\\rm caus}$ at which states with $J\\geq 4$ must appear in the theory. We show that this scale can lie below the quantum gravity scale. For axion models, we get $\\Lambda_{\\rm caus}\\sim\\sqrt{M_P f_a}$ where $f_a$ is the axion decay constant. In strongly-coupled gauge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14422","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/2411.14422/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2411.14422","created_at":"2026-07-05T10:00:43.850960+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.14422v2","created_at":"2026-07-05T10:00:43.850960+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14422","created_at":"2026-07-05T10:00:43.850960+00:00"},{"alias_kind":"pith_short_12","alias_value":"RZ3DQX3EB6TB","created_at":"2026-07-05T10:00:43.850960+00:00"},{"alias_kind":"pith_short_16","alias_value":"RZ3DQX3EB6TBO3R7","created_at":"2026-07-05T10:00:43.850960+00:00"},{"alias_kind":"pith_short_8","alias_value":"RZ3DQX3E","created_at":"2026-07-05T10:00:43.850960+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.19420","citing_title":"Bootstrapping Pion Form Factors at Large $N$","ref_index":34,"is_internal_anchor":false},{"citing_arxiv_id":"2605.21582","citing_title":"Multipositivity Constrains the Chiral Lagrangian","ref_index":39,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20319","citing_title":"The Equivalence Principle at High Energies Completes the Spectrum","ref_index":99,"is_internal_anchor":false},{"citing_arxiv_id":"2512.13780","citing_title":"Positivity with Long-Range Interactions","ref_index":59,"is_internal_anchor":false},{"citing_arxiv_id":"2603.15755","citing_title":"Negative running of gravitational positivity","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2605.00089","citing_title":"On the Asymptotic Causal Structure in Gravitational EFTs","ref_index":39,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RZ3DQX3EB6TBO3R7G5HP57WY2S","json":"https://pith.science/pith/RZ3DQX3EB6TBO3R7G5HP57WY2S.json","graph_json":"https://pith.science/api/pith-number/RZ3DQX3EB6TBO3R7G5HP57WY2S/graph.json","events_json":"https://pith.science/api/pith-number/RZ3DQX3EB6TBO3R7G5HP57WY2S/events.json","paper":"https://pith.science/paper/RZ3DQX3E"},"agent_actions":{"view_html":"https://pith.science/pith/RZ3DQX3EB6TBO3R7G5HP57WY2S","download_json":"https://pith.science/pith/RZ3DQX3EB6TBO3R7G5HP57WY2S.json","view_paper":"https://pith.science/paper/RZ3DQX3E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.14422&json=true","fetch_graph":"https://pith.science/api/pith-number/RZ3DQX3EB6TBO3R7G5HP57WY2S/graph.json","fetch_events":"https://pith.science/api/pith-number/RZ3DQX3EB6TBO3R7G5HP57WY2S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RZ3DQX3EB6TBO3R7G5HP57WY2S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RZ3DQX3EB6TBO3R7G5HP57WY2S/action/storage_attestation","attest_author":"https://pith.science/pith/RZ3DQX3EB6TBO3R7G5HP57WY2S/action/author_attestation","sign_citation":"https://pith.science/pith/RZ3DQX3EB6TBO3R7G5HP57WY2S/action/citation_signature","submit_replication":"https://pith.science/pith/RZ3DQX3EB6TBO3R7G5HP57WY2S/action/replication_record"}},"created_at":"2026-07-05T10:00:43.850960+00:00","updated_at":"2026-07-05T10:00:43.850960+00:00"}