{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:6WLYLPYCSQVA4AL4YVWHYQCO76","short_pith_number":"pith:6WLYLPYC","schema_version":"1.0","canonical_sha256":"f59785bf02942a0e017cc56c7c404effb53373de3173577f8fc33b2cd57b49a7","source":{"kind":"arxiv","id":"2411.17445","version":2},"attestation_state":"computed","paper":{"title":"On turbulence for spacetimes with stable trapping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"gr-qc","authors_text":"Alejandro C\\'ardenas-Avenda\\~no, Andrew Sullivan, Frans Pretorius, Gabriele Benomio","submitted_at":"2024-11-26T14:02:46Z","abstract_excerpt":"Motivated by understanding the nonlinear gravitational dynamics of spacetimes admitting stably trapped null geodesics, such as ultracompact objects and black string solutions to general relativity, we explore the dynamics of nonlinear scalar waves on a simple (fixed) model geometry with stable trapping. More specifically, we consider the time evolution of solutions to the cubic (defocusing) wave equation on a four-dimensional static, spherically symmetric, and asymptotically flat (horizonless) spacetime admitting a stable photon sphere.\n  Our study shows fundamental differences between linear "},"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":"2411.17445","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-11-26T14:02:46Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"4bd491656ca9a60214d315497bb1771ffde187e6f70a1c78e5c5edc242247735","abstract_canon_sha256":"9f063e598ad6052bfef048f94dc10de6b7bfd967afb2823d9a4979e1bed4d4af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:02:14.612616Z","signature_b64":"5YCuwzD8ug3TFX3Qpj7wDgSCvKYbRMOjP4b4mI5KGDJYYIdqZGVM3Y1Iov7PFmBm7ii/HKEl73QlbB5I7rT1DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f59785bf02942a0e017cc56c7c404effb53373de3173577f8fc33b2cd57b49a7","last_reissued_at":"2026-07-05T11:02:14.612116Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:02:14.612116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On turbulence for spacetimes with stable trapping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"gr-qc","authors_text":"Alejandro C\\'ardenas-Avenda\\~no, Andrew Sullivan, Frans Pretorius, Gabriele Benomio","submitted_at":"2024-11-26T14:02:46Z","abstract_excerpt":"Motivated by understanding the nonlinear gravitational dynamics of spacetimes admitting stably trapped null geodesics, such as ultracompact objects and black string solutions to general relativity, we explore the dynamics of nonlinear scalar waves on a simple (fixed) model geometry with stable trapping. More specifically, we consider the time evolution of solutions to the cubic (defocusing) wave equation on a four-dimensional static, spherically symmetric, and asymptotically flat (horizonless) spacetime admitting a stable photon sphere.\n  Our study shows fundamental differences between linear "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17445","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/2411.17445/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":"2411.17445","created_at":"2026-07-05T11:02:14.612175+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.17445v2","created_at":"2026-07-05T11:02:14.612175+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17445","created_at":"2026-07-05T11:02:14.612175+00:00"},{"alias_kind":"pith_short_12","alias_value":"6WLYLPYCSQVA","created_at":"2026-07-05T11:02:14.612175+00:00"},{"alias_kind":"pith_short_16","alias_value":"6WLYLPYCSQVA4AL4","created_at":"2026-07-05T11:02:14.612175+00:00"},{"alias_kind":"pith_short_8","alias_value":"6WLYLPYC","created_at":"2026-07-05T11:02:14.612175+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2508.19460","citing_title":"Search for growing angular modes in ultracompact boson star evolutions","ref_index":22,"is_internal_anchor":false},{"citing_arxiv_id":"2510.07467","citing_title":"Weakly turbulent saturation of the nonlinear scalar ergoregion instability","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2604.13208","citing_title":"Axial Oscillations of Viscous Neutron Stars","ref_index":86,"is_internal_anchor":false},{"citing_arxiv_id":"2604.08671","citing_title":"Analog regular black holes and black hole mimickers for surface-gravity waves in fluids","ref_index":15,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6WLYLPYCSQVA4AL4YVWHYQCO76","json":"https://pith.science/pith/6WLYLPYCSQVA4AL4YVWHYQCO76.json","graph_json":"https://pith.science/api/pith-number/6WLYLPYCSQVA4AL4YVWHYQCO76/graph.json","events_json":"https://pith.science/api/pith-number/6WLYLPYCSQVA4AL4YVWHYQCO76/events.json","paper":"https://pith.science/paper/6WLYLPYC"},"agent_actions":{"view_html":"https://pith.science/pith/6WLYLPYCSQVA4AL4YVWHYQCO76","download_json":"https://pith.science/pith/6WLYLPYCSQVA4AL4YVWHYQCO76.json","view_paper":"https://pith.science/paper/6WLYLPYC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.17445&json=true","fetch_graph":"https://pith.science/api/pith-number/6WLYLPYCSQVA4AL4YVWHYQCO76/graph.json","fetch_events":"https://pith.science/api/pith-number/6WLYLPYCSQVA4AL4YVWHYQCO76/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6WLYLPYCSQVA4AL4YVWHYQCO76/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6WLYLPYCSQVA4AL4YVWHYQCO76/action/storage_attestation","attest_author":"https://pith.science/pith/6WLYLPYCSQVA4AL4YVWHYQCO76/action/author_attestation","sign_citation":"https://pith.science/pith/6WLYLPYCSQVA4AL4YVWHYQCO76/action/citation_signature","submit_replication":"https://pith.science/pith/6WLYLPYCSQVA4AL4YVWHYQCO76/action/replication_record"}},"created_at":"2026-07-05T11:02:14.612175+00:00","updated_at":"2026-07-05T11:02:14.612175+00:00"}