{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:W4HELJSOTFZ2MW6CMOSNJ54ZB7","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":"37d137bdd4db410f8ae6f35540569218cc9f97c2679af769b9544b081387c485","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-14T16:07:26Z","title_canon_sha256":"8e83ba075b1f7740ef1e2e15eecbb82c74e4a18db554acad951cc86c244594f9"},"schema_version":"1.0","source":{"id":"2605.15007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.15007","created_at":"2026-05-17T23:38:54Z"},{"alias_kind":"arxiv_version","alias_value":"2605.15007v1","created_at":"2026-05-17T23:38:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15007","created_at":"2026-05-17T23:38:54Z"},{"alias_kind":"pith_short_12","alias_value":"W4HELJSOTFZ2","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"W4HELJSOTFZ2MW6C","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"W4HELJSO","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:1fdb0dcdf0824bd8c7716f1c9bbf82348dbed32dc9ee9fd9bece01888ffcb37c","target":"graph","created_at":"2026-05-17T23:38:54Z","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"},"paper":{"abstract_excerpt":"A quasi-static filtration system, comprising a poroelastic solid coupled to an incompressible free-flow, is considered in 3D. Across a flat 2D interface, the Beavers-Joseph-Saffman coupling conditions are taken. The system constitutes a doubly elliptic-parabolic coupling and can be seen as a degenerate case of the inertial Biot-Stokes dynamics of recent interest. These dynamics cannot be easily recovered through a vanishing inertia limit, however, utilizing a viscoelastic regularization of the inertial Biot system allows us to construct weak solutions in the inertial limit; subsequently, we pa","authors_text":"Arum Lee, Justin T. Webster, Peter Lavagnino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-14T16:07:26Z","title":"Weak Solutions and Inertial Limits for Quasi-static Filtrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.15007","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:bc48c1a264337ef5f621f127c68079a0e0d3dda2e878eaa5657ec43487c4e1f1","target":"record","created_at":"2026-05-17T23:38:54Z","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":"37d137bdd4db410f8ae6f35540569218cc9f97c2679af769b9544b081387c485","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-14T16:07:26Z","title_canon_sha256":"8e83ba075b1f7740ef1e2e15eecbb82c74e4a18db554acad951cc86c244594f9"},"schema_version":"1.0","source":{"id":"2605.15007","kind":"arxiv","version":1}},"canonical_sha256":"b70e45a64e9973a65bc263a4d4f7990fce9f2ce600b8a9b054b8cda68c12920d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b70e45a64e9973a65bc263a4d4f7990fce9f2ce600b8a9b054b8cda68c12920d","first_computed_at":"2026-05-17T23:38:54.858186Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:38:54.858186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aL/Nti5sjUH7vmaiI8t0tywtMZ2+aJcg8IIw3jGahstvRVMuEM3bNKhanglkbraaToZLp7MBm40u0d21advWDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:38:54.858807Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc48c1a264337ef5f621f127c68079a0e0d3dda2e878eaa5657ec43487c4e1f1","sha256:1fdb0dcdf0824bd8c7716f1c9bbf82348dbed32dc9ee9fd9bece01888ffcb37c"],"state_sha256":"4e043908ae09e635f2d3d8fb99555dec9ff521c4807a1d39f80009dfa777d677"}