{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:OTSMSR55SPPLAGD3QVLOLTNR2U","short_pith_number":"pith:OTSMSR55","schema_version":"1.0","canonical_sha256":"74e4c947bd93deb0187b8556e5cdb1d50281d5d1ec343603b1cc4cda75ca5f26","source":{"kind":"arxiv","id":"1404.7036","version":2},"attestation_state":"computed","paper":{"title":"Slowly Decaying Waves on Spherically Symmetric Spacetimes and an Instability of Ultracompact Neutron Stars","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Joseph Keir","submitted_at":"2014-04-28T16:10:13Z","abstract_excerpt":"We prove that, in a class of spherically symmetric spacetimes exhibiting stable trapping of null geodesics, linear waves cannot (uniformly) decay faster than logarithmically. When these linear waves are treated as a model for nonlinear perturbations, this slow decay is highly suggestive of nonlinear instability. We also prove that, in a large class of asymptotically flat, spherically symmetric spacetimes, logarithmic decay actually holds as a uniform upper bound. In the presence of stable trapping, this result is therefore the best one can obtain. In addition, we provide an application of thes"},"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":"1404.7036","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-04-28T16:10:13Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"a63778fd8bdf47e24b77f461ac32450b58a0052efcc13a4b8786c9fdc2401eeb","abstract_canon_sha256":"bea757684820178d2358ef47cd8a7ea6407df47dcaea04df3322defeaf808da7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:43:43.608680Z","signature_b64":"a4SHUNXBATNim/58niq6OQTCB40K4t/SrELpdIxpjZZmVYgLq6EmXbyBKJBskDSDdaz8e1hAV+KnzhsFXOsJDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74e4c947bd93deb0187b8556e5cdb1d50281d5d1ec343603b1cc4cda75ca5f26","last_reissued_at":"2026-07-05T05:43:43.608251Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:43:43.608251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Slowly Decaying Waves on Spherically Symmetric Spacetimes and an Instability of Ultracompact Neutron Stars","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Joseph Keir","submitted_at":"2014-04-28T16:10:13Z","abstract_excerpt":"We prove that, in a class of spherically symmetric spacetimes exhibiting stable trapping of null geodesics, linear waves cannot (uniformly) decay faster than logarithmically. When these linear waves are treated as a model for nonlinear perturbations, this slow decay is highly suggestive of nonlinear instability. We also prove that, in a large class of asymptotically flat, spherically symmetric spacetimes, logarithmic decay actually holds as a uniform upper bound. In the presence of stable trapping, this result is therefore the best one can obtain. In addition, we provide an application of thes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7036","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/1404.7036/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":"1404.7036","created_at":"2026-07-05T05:43:43.608313+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.7036v2","created_at":"2026-07-05T05:43:43.608313+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7036","created_at":"2026-07-05T05:43:43.608313+00:00"},{"alias_kind":"pith_short_12","alias_value":"OTSMSR55SPPL","created_at":"2026-07-05T05:43:43.608313+00:00"},{"alias_kind":"pith_short_16","alias_value":"OTSMSR55SPPLAGD3","created_at":"2026-07-05T05:43:43.608313+00:00"},{"alias_kind":"pith_short_8","alias_value":"OTSMSR55","created_at":"2026-07-05T05:43:43.608313+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":10,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.01916","citing_title":"Photon spheres in dynamical space-times","ref_index":47,"is_internal_anchor":false},{"citing_arxiv_id":"2606.30798","citing_title":"As Cold as a Black Hole: Extended Photon Spheres","ref_index":61,"is_internal_anchor":false},{"citing_arxiv_id":"2606.30794","citing_title":"On Black Holes Surrounded by Radiation: I. Classical Considerations","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2605.19731","citing_title":"Neutron stars more compact than black holes in quasi-topological gravity: Equilibrium configurations and radial stability","ref_index":59,"is_internal_anchor":false},{"citing_arxiv_id":"2508.19460","citing_title":"Search for growing angular modes in ultracompact boson star evolutions","ref_index":14,"is_internal_anchor":false},{"citing_arxiv_id":"2510.07467","citing_title":"Weakly turbulent saturation of the nonlinear scalar ergoregion instability","ref_index":4,"is_internal_anchor":false},{"citing_arxiv_id":"2511.10307","citing_title":"Gravitational Atoms from Topological Stars","ref_index":107,"is_internal_anchor":false},{"citing_arxiv_id":"2601.10806","citing_title":"Shadow signatures and energy accumulation in Lorentzian-Euclidean black holes","ref_index":51,"is_internal_anchor":false},{"citing_arxiv_id":"2604.13208","citing_title":"Axial Oscillations of Viscous Neutron Stars","ref_index":90,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15260","citing_title":"Taming the Aretakis instability: extremal black holes with multi-degenerate horizons","ref_index":28,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OTSMSR55SPPLAGD3QVLOLTNR2U","json":"https://pith.science/pith/OTSMSR55SPPLAGD3QVLOLTNR2U.json","graph_json":"https://pith.science/api/pith-number/OTSMSR55SPPLAGD3QVLOLTNR2U/graph.json","events_json":"https://pith.science/api/pith-number/OTSMSR55SPPLAGD3QVLOLTNR2U/events.json","paper":"https://pith.science/paper/OTSMSR55"},"agent_actions":{"view_html":"https://pith.science/pith/OTSMSR55SPPLAGD3QVLOLTNR2U","download_json":"https://pith.science/pith/OTSMSR55SPPLAGD3QVLOLTNR2U.json","view_paper":"https://pith.science/paper/OTSMSR55","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.7036&json=true","fetch_graph":"https://pith.science/api/pith-number/OTSMSR55SPPLAGD3QVLOLTNR2U/graph.json","fetch_events":"https://pith.science/api/pith-number/OTSMSR55SPPLAGD3QVLOLTNR2U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OTSMSR55SPPLAGD3QVLOLTNR2U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OTSMSR55SPPLAGD3QVLOLTNR2U/action/storage_attestation","attest_author":"https://pith.science/pith/OTSMSR55SPPLAGD3QVLOLTNR2U/action/author_attestation","sign_citation":"https://pith.science/pith/OTSMSR55SPPLAGD3QVLOLTNR2U/action/citation_signature","submit_replication":"https://pith.science/pith/OTSMSR55SPPLAGD3QVLOLTNR2U/action/replication_record"}},"created_at":"2026-07-05T05:43:43.608313+00:00","updated_at":"2026-07-05T05:43:43.608313+00:00"}