{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EZ3OYP6UCR6DMA5E3FFEUOA74C","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":"55f30fc2a30c23ac9b607fcf65819135b672b0224463b705ce201ba344e82f4f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-15T03:17:18Z","title_canon_sha256":"dd9fc357e1471831b5a80ad83237661d2d92f6d8274be6187e648c273948e93c"},"schema_version":"1.0","source":{"id":"2608.15000","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.15000","created_at":"2026-08-18T01:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"2608.15000v1","created_at":"2026-08-18T01:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.15000","created_at":"2026-08-18T01:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"EZ3OYP6UCR6D","created_at":"2026-08-18T01:12:58Z"},{"alias_kind":"pith_short_16","alias_value":"EZ3OYP6UCR6DMA5E","created_at":"2026-08-18T01:12:58Z"},{"alias_kind":"pith_short_8","alias_value":"EZ3OYP6U","created_at":"2026-08-18T01:12:58Z"}],"graph_snapshots":[{"event_id":"sha256:29755ca88be9b96c15a84d4801e13edd51b76acb185312fbb0cb2039a81d43dc","target":"graph","created_at":"2026-08-18T01:12:58Z","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/2608.15000/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze a sharply delimited comparison problem for a static spherical hollow core: an empty, flat cavity surrounded by a positive matter wall. In the unit-lapse, flat-slice radial Painleve--Gullstrand (PG) class the Type-I source obeys $p_r=-\\rho$ and $p_\\perp=-\\rho-r\\rho'/2$. A regular nonnegative density that rises out of the cavity must therefore violate the transverse null and weak energy conditions. We quantify this boundary obstruction by an exact weighted onset budget and a depth--width bound, and show that the sharp limit has the same negative tangential pressure as its symmetry-inv","authors_text":"Gabriel Abell\\'an, Ivaylo Vasilev, Nelson Bol\\'ivar","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-15T03:17:18Z","title":"Boundary Obstructions and Lapse Freedom in Static Spherical Hollow Cores"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.15000","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:b47b019a9ae549f7cdc86fbce52b81444368499f9ad895934e9eadb07094562c","target":"record","created_at":"2026-08-18T01:12:58Z","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":"55f30fc2a30c23ac9b607fcf65819135b672b0224463b705ce201ba344e82f4f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-15T03:17:18Z","title_canon_sha256":"dd9fc357e1471831b5a80ad83237661d2d92f6d8274be6187e648c273948e93c"},"schema_version":"1.0","source":{"id":"2608.15000","kind":"arxiv","version":1}},"canonical_sha256":"2676ec3fd4147c3603a4d94a4a381fe0840ded49f4b86f092c520ff99c028bd7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2676ec3fd4147c3603a4d94a4a381fe0840ded49f4b86f092c520ff99c028bd7","first_computed_at":"2026-08-18T01:12:58.142870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-18T01:12:58.142870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r80gynBLPs0I/hz3cNlVr3lWMxqvqqRAtrYk893goSbX6hMzTkhUzsoxm2Coc9gHLBgOOQSbfdY/Py/QFfcIDw==","signature_status":"signed_v1","signed_at":"2026-08-18T01:12:58.145160Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.15000","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b47b019a9ae549f7cdc86fbce52b81444368499f9ad895934e9eadb07094562c","sha256:29755ca88be9b96c15a84d4801e13edd51b76acb185312fbb0cb2039a81d43dc"],"state_sha256":"983fdb4408e7ffcf5f78ee53d2edcdd487b4a156f97c70b119262faf2ecbb6f5"}