{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:P3MQ2IVKS33JPA3UPJA4QS5CWK","short_pith_number":"pith:P3MQ2IVK","schema_version":"1.0","canonical_sha256":"7ed90d22aa96f69783747a41c84ba2b2b860a6566622fbabb0fc3a9e61f56f0c","source":{"kind":"arxiv","id":"1801.08546","version":3},"attestation_state":"computed","paper":{"title":"Proof of the Weak Gravity Conjecture from Black Hole Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Clifford Cheung, Grant N. Remmen, Junyu Liu","submitted_at":"2018-01-25T19:00:03Z","abstract_excerpt":"We prove that higher-dimension operators contribute positively to the entropy of a thermodynamically stable black hole at fixed mass and charge. Our results apply whenever the dominant corrections originate at tree level from quantum field theoretic dynamics. More generally, positivity of the entropy shift is equivalent to a certain inequality relating the free energies of black holes. These entropy inequalities mandate new positivity bounds on the coefficients of higher-dimension operators. One of these conditions implies that the charge-to-mass ratio of an extremal black hole asymptotes to u"},"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":"1801.08546","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-25T19:00:03Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"a310379f67f064dc82174754db36e8152fb64bf6c0ae7bca0842d2d3b96870ba","abstract_canon_sha256":"f9966f60a454cc47e0da88f05030e3a0fa20bd3bfe17a648d9aa9d6a14165b28"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:02.818353Z","signature_b64":"3t7ciFrvdacHe7aLfXIW5yHH8+p0aaR0TDt0irl6N35Mot32zGVd6UPHKW9nnqk/KK0u+H4ypgqUtJLnVpHWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ed90d22aa96f69783747a41c84ba2b2b860a6566622fbabb0fc3a9e61f56f0c","last_reissued_at":"2026-05-18T00:04:02.817655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:02.817655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Proof of the Weak Gravity Conjecture from Black Hole Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Clifford Cheung, Grant N. Remmen, Junyu Liu","submitted_at":"2018-01-25T19:00:03Z","abstract_excerpt":"We prove that higher-dimension operators contribute positively to the entropy of a thermodynamically stable black hole at fixed mass and charge. Our results apply whenever the dominant corrections originate at tree level from quantum field theoretic dynamics. More generally, positivity of the entropy shift is equivalent to a certain inequality relating the free energies of black holes. These entropy inequalities mandate new positivity bounds on the coefficients of higher-dimension operators. One of these conditions implies that the charge-to-mass ratio of an extremal black hole asymptotes to u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08546","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1801.08546","created_at":"2026-05-18T00:04:02.817761+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.08546v3","created_at":"2026-05-18T00:04:02.817761+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08546","created_at":"2026-05-18T00:04:02.817761+00:00"},{"alias_kind":"pith_short_12","alias_value":"P3MQ2IVKS33J","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_16","alias_value":"P3MQ2IVKS33JPA3U","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_8","alias_value":"P3MQ2IVK","created_at":"2026-05-18T12:32:43.782077+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2605.20319","citing_title":"The Equivalence Principle at High Energies Completes the Spectrum","ref_index":11,"is_internal_anchor":true},{"citing_arxiv_id":"2509.06630","citing_title":"Positivity bounds from thermal field theory entropy","ref_index":58,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P3MQ2IVKS33JPA3UPJA4QS5CWK","json":"https://pith.science/pith/P3MQ2IVKS33JPA3UPJA4QS5CWK.json","graph_json":"https://pith.science/api/pith-number/P3MQ2IVKS33JPA3UPJA4QS5CWK/graph.json","events_json":"https://pith.science/api/pith-number/P3MQ2IVKS33JPA3UPJA4QS5CWK/events.json","paper":"https://pith.science/paper/P3MQ2IVK"},"agent_actions":{"view_html":"https://pith.science/pith/P3MQ2IVKS33JPA3UPJA4QS5CWK","download_json":"https://pith.science/pith/P3MQ2IVKS33JPA3UPJA4QS5CWK.json","view_paper":"https://pith.science/paper/P3MQ2IVK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.08546&json=true","fetch_graph":"https://pith.science/api/pith-number/P3MQ2IVKS33JPA3UPJA4QS5CWK/graph.json","fetch_events":"https://pith.science/api/pith-number/P3MQ2IVKS33JPA3UPJA4QS5CWK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P3MQ2IVKS33JPA3UPJA4QS5CWK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P3MQ2IVKS33JPA3UPJA4QS5CWK/action/storage_attestation","attest_author":"https://pith.science/pith/P3MQ2IVKS33JPA3UPJA4QS5CWK/action/author_attestation","sign_citation":"https://pith.science/pith/P3MQ2IVKS33JPA3UPJA4QS5CWK/action/citation_signature","submit_replication":"https://pith.science/pith/P3MQ2IVKS33JPA3UPJA4QS5CWK/action/replication_record"}},"created_at":"2026-05-18T00:04:02.817761+00:00","updated_at":"2026-05-18T00:04:02.817761+00:00"}