{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:52VTO7JFMNICXJP3KVVY6Z3QLI","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":"94078a3998887389dcf5d68d03b30361a6339b40a56a231422465beb796aa6fc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-22T03:55:42Z","title_canon_sha256":"7b393193ee9518a248425d110c59610fc72d95ca21fdf271b962819174f1ad40"},"schema_version":"1.0","source":{"id":"2606.22822","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.22822","created_at":"2026-06-23T02:14:00Z"},{"alias_kind":"arxiv_version","alias_value":"2606.22822v1","created_at":"2026-06-23T02:14:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.22822","created_at":"2026-06-23T02:14:00Z"},{"alias_kind":"pith_short_12","alias_value":"52VTO7JFMNIC","created_at":"2026-06-23T02:14:00Z"},{"alias_kind":"pith_short_16","alias_value":"52VTO7JFMNICXJP3","created_at":"2026-06-23T02:14:00Z"},{"alias_kind":"pith_short_8","alias_value":"52VTO7JF","created_at":"2026-06-23T02:14:00Z"}],"graph_snapshots":[{"event_id":"sha256:06b56ae0e53867d01ee255771717e289c265db81f5f551e9b493812fc1f5eb9a","target":"graph","created_at":"2026-06-23T02:14:00Z","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/2606.22822/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper focuses on the free boundary problem of the three-dimensional compressible Navier-Stokes-Poisson equations with degenerate viscosities for self-gravitating viscous gaseous stars. For spherically symmetric barotropic motion, we establish the local well-posedness of classical solutions. The solutions obtained here are smooth all the way up to the moving boundary and capture the physical vacuum boundary behavior of the Lane-Emden star configuration for all adiabatic exponents $\\gamma>\\frac{4}{3}$.","authors_text":"Demin Wang, Jiawen Zhang, Shengguo Zhu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-22T03:55:42Z","title":"On a Local Existence Theorem for the Evolution Equation of Viscous Gaseous Stars in a Physical Vacuum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.22822","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":"sha256:309bfbc4bcf08718b6325195b446ddd9d7d99959cf1598f3120fd1df0ef42743","target":"record","created_at":"2026-06-23T02:14:00Z","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":"94078a3998887389dcf5d68d03b30361a6339b40a56a231422465beb796aa6fc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-06-22T03:55:42Z","title_canon_sha256":"7b393193ee9518a248425d110c59610fc72d95ca21fdf271b962819174f1ad40"},"schema_version":"1.0","source":{"id":"2606.22822","kind":"arxiv","version":1}},"canonical_sha256":"eeab377d2563502ba5fb556b8f67705a13e92e6fb0c276f2caf270e1d0cc56a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eeab377d2563502ba5fb556b8f67705a13e92e6fb0c276f2caf270e1d0cc56a8","first_computed_at":"2026-06-23T02:14:00.390272Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T02:14:00.390272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sd9HBDUwzYxHItdwD9tdjOHlDKbosqX7iMgx2vXsZwLRfACCyHf1hyFBiT4ntsY03QMTpUzbSVOKkEpOwrCDAQ==","signature_status":"signed_v1","signed_at":"2026-06-23T02:14:00.390656Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.22822","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:309bfbc4bcf08718b6325195b446ddd9d7d99959cf1598f3120fd1df0ef42743","sha256:06b56ae0e53867d01ee255771717e289c265db81f5f551e9b493812fc1f5eb9a"],"state_sha256":"f5a4bbf3fe218c7301033ce456a9d206a34883a7dc43f74818d7fbb0e3d5ddf2"}