{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VMR2BPCBHLTRIQJKWLQJ6P7TTS","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":"ba1ecb2583db35413ea596ab99dc4ad045ae4bbe93526d5fef20f59775b7786f","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-07-29T16:45:00Z","title_canon_sha256":"d4c5ec61c4141767a6814825e715b554b02e8bd62fb6b1d3312bca0931752e18"},"schema_version":"1.0","source":{"id":"1907.12517","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.12517","created_at":"2026-07-05T01:47:11Z"},{"alias_kind":"arxiv_version","alias_value":"1907.12517v3","created_at":"2026-07-05T01:47:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.12517","created_at":"2026-07-05T01:47:11Z"},{"alias_kind":"pith_short_12","alias_value":"VMR2BPCBHLTR","created_at":"2026-07-05T01:47:11Z"},{"alias_kind":"pith_short_16","alias_value":"VMR2BPCBHLTRIQJK","created_at":"2026-07-05T01:47:11Z"},{"alias_kind":"pith_short_8","alias_value":"VMR2BPCB","created_at":"2026-07-05T01:47:11Z"}],"graph_snapshots":[{"event_id":"sha256:22d587b06b1c121e17b6434442c0763b370559c918f98e80d8f09ee676dc4fd4","target":"graph","created_at":"2026-07-05T01:47:11Z","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/1907.12517/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we try to obtain a stable Lemaitre-Tolman-Bondi (LTB) static universe, which is spherically symmetric and radially inhomogeneous. However, this is not an easy task, and fails in general relativity (GR) and various modified gravity theories, because the corresponding LTB static universes must reduce to the Friedmann-Robertson-Walker (FRW) static universes. We find a way out in a new type of modified gravity theory, in which the conservation of energy and momentum is broken. In this work, we have proposed a novel modification to the original Rastall gravity. In some sense, our Rast","authors_text":"Hao Wei, Shou-Long Li, Zhong-Xi Yu","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-07-29T16:45:00Z","title":"Lemaitre-Tolman-Bondi Static Universe in Rastall-like Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.12517","kind":"arxiv","version":3},"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:c92fb482f7d895c43f9e77c8f45b8ae5bf21bd7c5bfbe88cb3a311bed0a2916d","target":"record","created_at":"2026-07-05T01:47:11Z","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":"ba1ecb2583db35413ea596ab99dc4ad045ae4bbe93526d5fef20f59775b7786f","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-07-29T16:45:00Z","title_canon_sha256":"d4c5ec61c4141767a6814825e715b554b02e8bd62fb6b1d3312bca0931752e18"},"schema_version":"1.0","source":{"id":"1907.12517","kind":"arxiv","version":3}},"canonical_sha256":"ab23a0bc413ae714412ab2e09f3ff39cb29ce584616b6ce6859bbddc59c5afb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab23a0bc413ae714412ab2e09f3ff39cb29ce584616b6ce6859bbddc59c5afb4","first_computed_at":"2026-07-05T01:47:11.677972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:47:11.677972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"//XaPCdopb5336levW/NOvFWApu+GJ7V80thn5t8Cw++urXs4qUh/6hhairnyr6asWvK1d9q6nnAWlDjWcQXCA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:47:11.678419Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.12517","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c92fb482f7d895c43f9e77c8f45b8ae5bf21bd7c5bfbe88cb3a311bed0a2916d","sha256:22d587b06b1c121e17b6434442c0763b370559c918f98e80d8f09ee676dc4fd4"],"state_sha256":"1aeb2c2a0862dc0d772f7f6aa92649d68520d60c63d9aa33d45dc2c0083ea6c3"}