{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:QLW3TED6VDOCLM6HNOAQPD2BLE","short_pith_number":"pith:QLW3TED6","schema_version":"1.0","canonical_sha256":"82edb9907ea8dc25b3c76b81078f41592c57e84b52a4d2a53e86228896990d49","source":{"kind":"arxiv","id":"1902.03250","version":4},"attestation_state":"computed","paper":{"title":"Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Brando Bellazzini, Javi Serra, Matthew Lewandowski","submitted_at":"2019-02-08T19:00:07Z","abstract_excerpt":"We derive new positivity bounds for scattering amplitudes in theories with a massless graviton in the spectrum in four spacetime dimensions, of relevance for the weak gravity conjecture and modified gravity theories. The bounds imply that extremal black holes are self-repulsive, $M/|Q|<1$ in suitable units, and that they are unstable to decay to smaller extremal black holes, providing an S-matrix proof of the weak gravity conjecture. We also present other applications of our bounds to the effective field theory of axions, $P(X)$ theories, weakly broken galileons, and curved spacetimes."},"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":"1902.03250","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-02-08T19:00:07Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"4412b9a212f17d524c1fc306dda8f3d19183b6ce96d264e515964b41970c362c","abstract_canon_sha256":"b624225cff496369c88359b087482792620c8c91d4325ac3dfc6a95a8d08e20c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:28:08.120177Z","signature_b64":"d7mKjMnGxxm1gs/K/pTeY/uUl1i8bqebT6RaMUh0URzaAfvFB1MXBfS1NQjZ5kdO+6teWt8zL/fSFv4Jtz+LCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82edb9907ea8dc25b3c76b81078f41592c57e84b52a4d2a53e86228896990d49","last_reissued_at":"2026-07-05T00:28:08.119760Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:28:08.119760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Brando Bellazzini, Javi Serra, Matthew Lewandowski","submitted_at":"2019-02-08T19:00:07Z","abstract_excerpt":"We derive new positivity bounds for scattering amplitudes in theories with a massless graviton in the spectrum in four spacetime dimensions, of relevance for the weak gravity conjecture and modified gravity theories. The bounds imply that extremal black holes are self-repulsive, $M/|Q|<1$ in suitable units, and that they are unstable to decay to smaller extremal black holes, providing an S-matrix proof of the weak gravity conjecture. We also present other applications of our bounds to the effective field theory of axions, $P(X)$ theories, weakly broken galileons, and curved spacetimes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.03250","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/1902.03250/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":"1902.03250","created_at":"2026-07-05T00:28:08.119824+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.03250v4","created_at":"2026-07-05T00:28:08.119824+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.03250","created_at":"2026-07-05T00:28:08.119824+00:00"},{"alias_kind":"pith_short_12","alias_value":"QLW3TED6VDOC","created_at":"2026-07-05T00:28:08.119824+00:00"},{"alias_kind":"pith_short_16","alias_value":"QLW3TED6VDOCLM6H","created_at":"2026-07-05T00:28:08.119824+00:00"},{"alias_kind":"pith_short_8","alias_value":"QLW3TED6","created_at":"2026-07-05T00:28:08.119824+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":11,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.19283","citing_title":"A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2605.23047","citing_title":"On Thermodynamics of Charged Black Holes, Swampland, and Dark Matter","ref_index":35,"is_internal_anchor":false},{"citing_arxiv_id":"2605.23047","citing_title":"On Thermodynamics of Charged Black Holes, Swampland, and Dark Matter","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2404.07980","citing_title":"ISCOs and the weak gravity conjecture bound in higher derivative theories of gravity","ref_index":15,"is_internal_anchor":false},{"citing_arxiv_id":"2605.21582","citing_title":"Multipositivity Constrains the Chiral Lagrangian","ref_index":64,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20319","citing_title":"The Equivalence Principle at High Energies Completes the Spectrum","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2509.06630","citing_title":"Positivity bounds from thermal field theory entropy","ref_index":2,"is_internal_anchor":false},{"citing_arxiv_id":"2512.13780","citing_title":"Positivity with Long-Range Interactions","ref_index":20,"is_internal_anchor":false},{"citing_arxiv_id":"2603.15755","citing_title":"Negative running of gravitational positivity","ref_index":6,"is_internal_anchor":false},{"citing_arxiv_id":"2604.00107","citing_title":"Full positivity bounds for anomalous quartic gauge couplings in SMEFT","ref_index":71,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15235","citing_title":"Sampling the Graviton Pole and Deprojecting the Swampland","ref_index":9,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QLW3TED6VDOCLM6HNOAQPD2BLE","json":"https://pith.science/pith/QLW3TED6VDOCLM6HNOAQPD2BLE.json","graph_json":"https://pith.science/api/pith-number/QLW3TED6VDOCLM6HNOAQPD2BLE/graph.json","events_json":"https://pith.science/api/pith-number/QLW3TED6VDOCLM6HNOAQPD2BLE/events.json","paper":"https://pith.science/paper/QLW3TED6"},"agent_actions":{"view_html":"https://pith.science/pith/QLW3TED6VDOCLM6HNOAQPD2BLE","download_json":"https://pith.science/pith/QLW3TED6VDOCLM6HNOAQPD2BLE.json","view_paper":"https://pith.science/paper/QLW3TED6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.03250&json=true","fetch_graph":"https://pith.science/api/pith-number/QLW3TED6VDOCLM6HNOAQPD2BLE/graph.json","fetch_events":"https://pith.science/api/pith-number/QLW3TED6VDOCLM6HNOAQPD2BLE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QLW3TED6VDOCLM6HNOAQPD2BLE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QLW3TED6VDOCLM6HNOAQPD2BLE/action/storage_attestation","attest_author":"https://pith.science/pith/QLW3TED6VDOCLM6HNOAQPD2BLE/action/author_attestation","sign_citation":"https://pith.science/pith/QLW3TED6VDOCLM6HNOAQPD2BLE/action/citation_signature","submit_replication":"https://pith.science/pith/QLW3TED6VDOCLM6HNOAQPD2BLE/action/replication_record"}},"created_at":"2026-07-05T00:28:08.119824+00:00","updated_at":"2026-07-05T00:28:08.119824+00:00"}