{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:QO3MXJB6LBRUQQFXI6Q7HARGXJ","short_pith_number":"pith:QO3MXJB6","schema_version":"1.0","canonical_sha256":"83b6cba43e58634840b747a1f38226ba5f75550d73dd4e6191ddaec214984b6a","source":{"kind":"arxiv","id":"2109.11560","version":1},"attestation_state":"computed","paper":{"title":"Cheeger bounds on spin-two fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.DG","math.MG","math.MP"],"primary_cat":"hep-th","authors_text":"Alessandro Tomasiello, Andrea Mondino, G. Bruno De Luca, Nicol\\`o De Ponti","submitted_at":"2021-09-23T18:00:02Z","abstract_excerpt":"We consider gravity compactifications whose internal space consists of small bridges connecting larger manifolds, possibly noncompact. We prove that, under rather general assumptions, this leads to a massive spin-two field with very small mass. The argument involves a recently-noticed relation to Bakry--\\'Emery geometry, a version of the so-called Cheeger constant, and the theory of synthetic Ricci lower bounds. The latter technique allows generalizations to non-smooth spaces such as those with D-brane singularities. For AdS$_d$ vacua with a bridge admitting an AdS$_{d+1}$ interpretation, the "},"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":"2109.11560","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-23T18:00:02Z","cross_cats_sorted":["gr-qc","math-ph","math.DG","math.MG","math.MP"],"title_canon_sha256":"59c06d23587788a05d4ef5bd0da8f482aeb3f543d0a97c5fe6ab5723b60ee1a1","abstract_canon_sha256":"cada6bdb629d277cf6b5d59d069800990ac611aa6274ebe99d9b2fa5966b4563"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:54:11.376105Z","signature_b64":"boz2KHRT1mDT04kU6YW06OC/C4EZfh6f7wp6VUW5fzkZGC5XXTdTAtTriC/lLEsEZ5d/8EP1DUBWOBgft0OkCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83b6cba43e58634840b747a1f38226ba5f75550d73dd4e6191ddaec214984b6a","last_reissued_at":"2026-07-05T06:54:11.375602Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:54:11.375602Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cheeger bounds on spin-two fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.DG","math.MG","math.MP"],"primary_cat":"hep-th","authors_text":"Alessandro Tomasiello, Andrea Mondino, G. Bruno De Luca, Nicol\\`o De Ponti","submitted_at":"2021-09-23T18:00:02Z","abstract_excerpt":"We consider gravity compactifications whose internal space consists of small bridges connecting larger manifolds, possibly noncompact. We prove that, under rather general assumptions, this leads to a massive spin-two field with very small mass. The argument involves a recently-noticed relation to Bakry--\\'Emery geometry, a version of the so-called Cheeger constant, and the theory of synthetic Ricci lower bounds. The latter technique allows generalizations to non-smooth spaces such as those with D-brane singularities. For AdS$_d$ vacua with a bridge admitting an AdS$_{d+1}$ interpretation, the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.11560","kind":"arxiv","version":1},"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/2109.11560/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":"2109.11560","created_at":"2026-07-05T06:54:11.375667+00:00"},{"alias_kind":"arxiv_version","alias_value":"2109.11560v1","created_at":"2026-07-05T06:54:11.375667+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.11560","created_at":"2026-07-05T06:54:11.375667+00:00"},{"alias_kind":"pith_short_12","alias_value":"QO3MXJB6LBRU","created_at":"2026-07-05T06:54:11.375667+00:00"},{"alias_kind":"pith_short_16","alias_value":"QO3MXJB6LBRUQQFX","created_at":"2026-07-05T06:54:11.375667+00:00"},{"alias_kind":"pith_short_8","alias_value":"QO3MXJB6","created_at":"2026-07-05T06:54:11.375667+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2603.11163","citing_title":"Alice in Warpland: KK modes, Warped Compactifications and the Swampland","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2604.24843","citing_title":"Optimal paths across potentials on scalar field space","ref_index":55,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QO3MXJB6LBRUQQFXI6Q7HARGXJ","json":"https://pith.science/pith/QO3MXJB6LBRUQQFXI6Q7HARGXJ.json","graph_json":"https://pith.science/api/pith-number/QO3MXJB6LBRUQQFXI6Q7HARGXJ/graph.json","events_json":"https://pith.science/api/pith-number/QO3MXJB6LBRUQQFXI6Q7HARGXJ/events.json","paper":"https://pith.science/paper/QO3MXJB6"},"agent_actions":{"view_html":"https://pith.science/pith/QO3MXJB6LBRUQQFXI6Q7HARGXJ","download_json":"https://pith.science/pith/QO3MXJB6LBRUQQFXI6Q7HARGXJ.json","view_paper":"https://pith.science/paper/QO3MXJB6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2109.11560&json=true","fetch_graph":"https://pith.science/api/pith-number/QO3MXJB6LBRUQQFXI6Q7HARGXJ/graph.json","fetch_events":"https://pith.science/api/pith-number/QO3MXJB6LBRUQQFXI6Q7HARGXJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QO3MXJB6LBRUQQFXI6Q7HARGXJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QO3MXJB6LBRUQQFXI6Q7HARGXJ/action/storage_attestation","attest_author":"https://pith.science/pith/QO3MXJB6LBRUQQFXI6Q7HARGXJ/action/author_attestation","sign_citation":"https://pith.science/pith/QO3MXJB6LBRUQQFXI6Q7HARGXJ/action/citation_signature","submit_replication":"https://pith.science/pith/QO3MXJB6LBRUQQFXI6Q7HARGXJ/action/replication_record"}},"created_at":"2026-07-05T06:54:11.375667+00:00","updated_at":"2026-07-05T06:54:11.375667+00:00"}