{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GZSPUE2A2JB4YWXU6KKGMIMZGA","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":"8a3e9e4598136610ebf7adb45db05e0fcdea9a9af72e5248bd76e9597a8cdbdc","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-29T14:44:50Z","title_canon_sha256":"2c014f9d5b9b8564124e46ab7df738d36c89ba3f7f79121581463b6b03475b4a"},"schema_version":"1.0","source":{"id":"2606.30392","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.30392","created_at":"2026-06-30T02:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"2606.30392v1","created_at":"2026-06-30T02:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30392","created_at":"2026-06-30T02:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"GZSPUE2A2JB4","created_at":"2026-06-30T02:18:13Z"},{"alias_kind":"pith_short_16","alias_value":"GZSPUE2A2JB4YWXU","created_at":"2026-06-30T02:18:13Z"},{"alias_kind":"pith_short_8","alias_value":"GZSPUE2A","created_at":"2026-06-30T02:18:13Z"}],"graph_snapshots":[{"event_id":"sha256:ad8bc6488c9a4247ad11541b8e88b7916d02ce53f9c52c9514b5a69b098e60a1","target":"graph","created_at":"2026-06-30T02:18:13Z","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/2606.30392/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is concerned with the time-harmonic wave scattering problems in three dimensional poroelastic media. By introducing an intermediate variable $p$, the original $\\mathbf{u}-\\mathbf{w}$ system is equivalently transformed into a $\\mathbf{u}-p$ system with fewer degrees of freedom, which facilitates the derivation of the fundamental solution, Green's identity and positivity of the complex wave numbers. A perfectly matched layer (PML) method is then introduced in the spherical coordinates to truncate the unbounded scattering problem. Under certain assumptions on the poroelastic and PML pa","authors_text":"Bo Zhang, Changkun Wei, Qianyuan Yin","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-29T14:44:50Z","title":"Convergence of the PML method for scattering problems in poroelastic media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30392","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":"sha256:485f30175a299a36d5fe9885d5c6bf05e1a780fbcae40dd57b5bfafc7f6cff92","target":"record","created_at":"2026-06-30T02:18:13Z","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":"8a3e9e4598136610ebf7adb45db05e0fcdea9a9af72e5248bd76e9597a8cdbdc","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-29T14:44:50Z","title_canon_sha256":"2c014f9d5b9b8564124e46ab7df738d36c89ba3f7f79121581463b6b03475b4a"},"schema_version":"1.0","source":{"id":"2606.30392","kind":"arxiv","version":1}},"canonical_sha256":"3664fa1340d243cc5af4f29466219930102550c0edca5ef5b61531a86430b473","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3664fa1340d243cc5af4f29466219930102550c0edca5ef5b61531a86430b473","first_computed_at":"2026-06-30T02:18:13.358443Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:18:13.358443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BBJ+KIMJ7aSbaS8UgA00vXjNJgDG5amNmZEQJO6H6ICLykC6IraIDrqNbdeanC6pyoxI4dX3IpF2LWeb778nCQ==","signature_status":"signed_v1","signed_at":"2026-06-30T02:18:13.358949Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.30392","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:485f30175a299a36d5fe9885d5c6bf05e1a780fbcae40dd57b5bfafc7f6cff92","sha256:ad8bc6488c9a4247ad11541b8e88b7916d02ce53f9c52c9514b5a69b098e60a1"],"state_sha256":"6c4daf2a261305018006ed512fe5d1d03a7824d4eddd79e9e41509fc42fe6dc9"}