{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:O3NWEX6SC72VXECWDRG47AD3KG","short_pith_number":"pith:O3NWEX6S","schema_version":"1.0","canonical_sha256":"76db625fd217f55b90561c4dcf807b518d361a3639b4bb8e0f7003735473d0f8","source":{"kind":"arxiv","id":"1304.4135","version":1},"attestation_state":"computed","paper":{"title":"Nondispersive decay for the cubic wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"An{\\i}l Zengino\\u{g}lu, Roland Donninger","submitted_at":"2013-04-15T15:38:02Z","abstract_excerpt":"We consider the hyperboloidal initial value problem for the cubic focusing wave equation. Without symmetry assumptions, we prove the existence of a co-dimension 4 Lipschitz manifold of initial data that lead to global solutions in forward time which do not scatter to free waves."},"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":"1304.4135","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-04-15T15:38:02Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"b4ec2794b1295621cab0cfd18c7e8d627b63521d61165c437cc2fddb903ef3ac","abstract_canon_sha256":"27c942588e2484936417060c29f2d2cd822e4e295c34b4b35e4002290e6c3fe4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:25.493368Z","signature_b64":"Mqu8WoFN5O8YO+/EFQ9w9NvdhJ2DuEq7xQR+tsQjq0+lpmDyBAtjBeSJD5mSLhlaUbs5ctPGVkjqfOkGjCSvDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76db625fd217f55b90561c4dcf807b518d361a3639b4bb8e0f7003735473d0f8","last_reissued_at":"2026-05-18T01:22:25.492650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:25.492650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nondispersive decay for the cubic wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"An{\\i}l Zengino\\u{g}lu, Roland Donninger","submitted_at":"2013-04-15T15:38:02Z","abstract_excerpt":"We consider the hyperboloidal initial value problem for the cubic focusing wave equation. Without symmetry assumptions, we prove the existence of a co-dimension 4 Lipschitz manifold of initial data that lead to global solutions in forward time which do not scatter to free waves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4135","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":""},"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":"1304.4135","created_at":"2026-05-18T01:22:25.492772+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.4135v1","created_at":"2026-05-18T01:22:25.492772+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4135","created_at":"2026-05-18T01:22:25.492772+00:00"},{"alias_kind":"pith_short_12","alias_value":"O3NWEX6SC72V","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"O3NWEX6SC72VXECW","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"O3NWEX6S","created_at":"2026-05-18T12:27:54.935989+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.08863","citing_title":"Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay","ref_index":35,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/O3NWEX6SC72VXECWDRG47AD3KG","json":"https://pith.science/pith/O3NWEX6SC72VXECWDRG47AD3KG.json","graph_json":"https://pith.science/api/pith-number/O3NWEX6SC72VXECWDRG47AD3KG/graph.json","events_json":"https://pith.science/api/pith-number/O3NWEX6SC72VXECWDRG47AD3KG/events.json","paper":"https://pith.science/paper/O3NWEX6S"},"agent_actions":{"view_html":"https://pith.science/pith/O3NWEX6SC72VXECWDRG47AD3KG","download_json":"https://pith.science/pith/O3NWEX6SC72VXECWDRG47AD3KG.json","view_paper":"https://pith.science/paper/O3NWEX6S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.4135&json=true","fetch_graph":"https://pith.science/api/pith-number/O3NWEX6SC72VXECWDRG47AD3KG/graph.json","fetch_events":"https://pith.science/api/pith-number/O3NWEX6SC72VXECWDRG47AD3KG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O3NWEX6SC72VXECWDRG47AD3KG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O3NWEX6SC72VXECWDRG47AD3KG/action/storage_attestation","attest_author":"https://pith.science/pith/O3NWEX6SC72VXECWDRG47AD3KG/action/author_attestation","sign_citation":"https://pith.science/pith/O3NWEX6SC72VXECWDRG47AD3KG/action/citation_signature","submit_replication":"https://pith.science/pith/O3NWEX6SC72VXECWDRG47AD3KG/action/replication_record"}},"created_at":"2026-05-18T01:22:25.492772+00:00","updated_at":"2026-05-18T01:22:25.492772+00:00"}