{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WVGYL7JVKWF5OAGGS2YOVA4UQZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d1e79cff076ad670d1bc01b4026dfaf81c7523d1cb2079602fe2dd12be01f637","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-18T19:09:54Z","title_canon_sha256":"4623d32ee3244a0aa90ad9189dfbe2d589d422c92833170a535a9799a085ec1a"},"schema_version":"1.0","source":{"id":"2606.20879","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.20879","created_at":"2026-06-23T00:12:01Z"},{"alias_kind":"arxiv_version","alias_value":"2606.20879v1","created_at":"2026-06-23T00:12:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.20879","created_at":"2026-06-23T00:12:01Z"},{"alias_kind":"pith_short_12","alias_value":"WVGYL7JVKWF5","created_at":"2026-06-23T00:12:01Z"},{"alias_kind":"pith_short_16","alias_value":"WVGYL7JVKWF5OAGG","created_at":"2026-06-23T00:12:01Z"},{"alias_kind":"pith_short_8","alias_value":"WVGYL7JV","created_at":"2026-06-23T00:12:01Z"}],"graph_snapshots":[{"event_id":"sha256:8500a333ab30382644bb4c46cd2055349d5aad2696e334f44b51efb9cb7d26e9","target":"graph","created_at":"2026-06-23T00:12:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.20879/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The paper establishes integrated local energy decay (ILED) estimates for the damped wave equation on certain non-stationary spacetimes. The main technical result is a high frequency estimate that holds in great generality, provided that null geodesics trapped in a compact region are sufficiently damped.","authors_text":"Mihai Tohaneanu, Nicholas Arsenault","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-18T19:09:54Z","title":"Local Energy Decay for Non-Stationary Damped Wave Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.20879","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1a807f26d644ab3ec158242134aba831a82dfde1e86fd84dbd263a5db110e68b","target":"record","created_at":"2026-06-23T00:12:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d1e79cff076ad670d1bc01b4026dfaf81c7523d1cb2079602fe2dd12be01f637","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-18T19:09:54Z","title_canon_sha256":"4623d32ee3244a0aa90ad9189dfbe2d589d422c92833170a535a9799a085ec1a"},"schema_version":"1.0","source":{"id":"2606.20879","kind":"arxiv","version":1}},"canonical_sha256":"b54d85fd35558bd700c696b0ea839486566396ff869cb5146e49bab0cd4deecb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b54d85fd35558bd700c696b0ea839486566396ff869cb5146e49bab0cd4deecb","first_computed_at":"2026-06-23T00:12:01.558630Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T00:12:01.558630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9YagUxzZuUWeysNAyXIDiJzqpqHhCaTd43yc77K9yUUGfwocCKnpYqswIFDunt9VfgU2weYIehldB3CUzfhoAQ==","signature_status":"signed_v1","signed_at":"2026-06-23T00:12:01.558993Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.20879","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a807f26d644ab3ec158242134aba831a82dfde1e86fd84dbd263a5db110e68b","sha256:8500a333ab30382644bb4c46cd2055349d5aad2696e334f44b51efb9cb7d26e9"],"state_sha256":"8d7092d7b4a14ed036c7e688303038ce9e765499d146fcfbaf0f0f942f8b3b4c"}