{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YBUXLKGHDN2IMB4JT5NP7DDZ3A","short_pith_number":"pith:YBUXLKGH","canonical_record":{"source":{"id":"1610.05734","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-17T06:34:55Z","cross_cats_sorted":[],"title_canon_sha256":"0239dd70d47caa70c1c3769ee7438a2230a568b7a278ad8ac6ac88009dca5c08","abstract_canon_sha256":"bd25d321286f467629616234d27873b178955fa7819fec644a52fc89a498512e"},"schema_version":"1.0"},"canonical_sha256":"c06975a8c71b748607899f5aff8c79d81b12084ade6488d1419e0c9e6b47c024","source":{"kind":"arxiv","id":"1610.05734","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05734","created_at":"2026-05-18T01:01:58Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05734v1","created_at":"2026-05-18T01:01:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05734","created_at":"2026-05-18T01:01:58Z"},{"alias_kind":"pith_short_12","alias_value":"YBUXLKGHDN2I","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YBUXLKGHDN2IMB4J","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YBUXLKGH","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YBUXLKGHDN2IMB4JT5NP7DDZ3A","target":"record","payload":{"canonical_record":{"source":{"id":"1610.05734","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-17T06:34:55Z","cross_cats_sorted":[],"title_canon_sha256":"0239dd70d47caa70c1c3769ee7438a2230a568b7a278ad8ac6ac88009dca5c08","abstract_canon_sha256":"bd25d321286f467629616234d27873b178955fa7819fec644a52fc89a498512e"},"schema_version":"1.0"},"canonical_sha256":"c06975a8c71b748607899f5aff8c79d81b12084ade6488d1419e0c9e6b47c024","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:58.509633Z","signature_b64":"dEvpiryUFomDb2xLhvEEXEbOlkT3sv9aPcBMR46+wnGYwPUnjV8+HPf7ShVUohprmIe1dLu8bWS88Il5sgo0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c06975a8c71b748607899f5aff8c79d81b12084ade6488d1419e0c9e6b47c024","last_reissued_at":"2026-05-18T01:01:58.508509Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:58.508509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.05734","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FI77hdvH1h5rW7/oC7nzjbWOtN6zngtULOB+Q67CFmULAVFYEiDFMOOX0puAgVlnMMpW+wAumijXYWyhPTERAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:56:26.662789Z"},"content_sha256":"52a3187bdc16249ed8b5aeecc036001a9896554bb4deb8fdee81b6c8ff258649","schema_version":"1.0","event_id":"sha256:52a3187bdc16249ed8b5aeecc036001a9896554bb4deb8fdee81b6c8ff258649"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YBUXLKGHDN2IMB4JT5NP7DDZ3A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational Collapse in Repulsive $R+\\mu^4/R$ Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Mohsen Fathi, Morteza Mohseni","submitted_at":"2016-10-17T06:34:55Z","abstract_excerpt":"In this paper we work out collapsing conditions for a spherical star in the weak field limit of the $R+\\mu^4/R$ gravity and discuss the importance of the parameter $\\mu$ to generate different criteria in the theory. Such criteria are proved to be resulting in a variety of different fates for the evolution of the outer shells of stars. Furthermore, we investigate the special case of violating the first junction condition and point out corresponding contradictions to the normal cases. These results show that the consistency of the $R+\\mu^4/R$ theory of gravity with the common astrophysical predi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05734","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D6VPFWp5GV6eXQ2hnvCI5UuoG0prgQtS1PHpe4KR4TsKC+dF3BXUFcP1smmy/tK0HgDAXp9bWe/Z30uIsljmDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:56:26.663644Z"},"content_sha256":"627b7a1c26dc36d4827dcec67c48e6bda1a68d154b43ec5cf04860ada2dae61b","schema_version":"1.0","event_id":"sha256:627b7a1c26dc36d4827dcec67c48e6bda1a68d154b43ec5cf04860ada2dae61b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBUXLKGHDN2IMB4JT5NP7DDZ3A/bundle.json","state_url":"https://pith.science/pith/YBUXLKGHDN2IMB4JT5NP7DDZ3A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBUXLKGHDN2IMB4JT5NP7DDZ3A/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T12:56:26Z","links":{"resolver":"https://pith.science/pith/YBUXLKGHDN2IMB4JT5NP7DDZ3A","bundle":"https://pith.science/pith/YBUXLKGHDN2IMB4JT5NP7DDZ3A/bundle.json","state":"https://pith.science/pith/YBUXLKGHDN2IMB4JT5NP7DDZ3A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBUXLKGHDN2IMB4JT5NP7DDZ3A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YBUXLKGHDN2IMB4JT5NP7DDZ3A","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":"bd25d321286f467629616234d27873b178955fa7819fec644a52fc89a498512e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-17T06:34:55Z","title_canon_sha256":"0239dd70d47caa70c1c3769ee7438a2230a568b7a278ad8ac6ac88009dca5c08"},"schema_version":"1.0","source":{"id":"1610.05734","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05734","created_at":"2026-05-18T01:01:58Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05734v1","created_at":"2026-05-18T01:01:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05734","created_at":"2026-05-18T01:01:58Z"},{"alias_kind":"pith_short_12","alias_value":"YBUXLKGHDN2I","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YBUXLKGHDN2IMB4J","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YBUXLKGH","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:627b7a1c26dc36d4827dcec67c48e6bda1a68d154b43ec5cf04860ada2dae61b","target":"graph","created_at":"2026-05-18T01:01:58Z","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"},"paper":{"abstract_excerpt":"In this paper we work out collapsing conditions for a spherical star in the weak field limit of the $R+\\mu^4/R$ gravity and discuss the importance of the parameter $\\mu$ to generate different criteria in the theory. Such criteria are proved to be resulting in a variety of different fates for the evolution of the outer shells of stars. Furthermore, we investigate the special case of violating the first junction condition and point out corresponding contradictions to the normal cases. These results show that the consistency of the $R+\\mu^4/R$ theory of gravity with the common astrophysical predi","authors_text":"Mohsen Fathi, Morteza Mohseni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-17T06:34:55Z","title":"Gravitational Collapse in Repulsive $R+\\mu^4/R$ Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05734","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":"sha256:52a3187bdc16249ed8b5aeecc036001a9896554bb4deb8fdee81b6c8ff258649","target":"record","created_at":"2026-05-18T01:01:58Z","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":"bd25d321286f467629616234d27873b178955fa7819fec644a52fc89a498512e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-17T06:34:55Z","title_canon_sha256":"0239dd70d47caa70c1c3769ee7438a2230a568b7a278ad8ac6ac88009dca5c08"},"schema_version":"1.0","source":{"id":"1610.05734","kind":"arxiv","version":1}},"canonical_sha256":"c06975a8c71b748607899f5aff8c79d81b12084ade6488d1419e0c9e6b47c024","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c06975a8c71b748607899f5aff8c79d81b12084ade6488d1419e0c9e6b47c024","first_computed_at":"2026-05-18T01:01:58.508509Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:58.508509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dEvpiryUFomDb2xLhvEEXEbOlkT3sv9aPcBMR46+wnGYwPUnjV8+HPf7ShVUohprmIe1dLu8bWS88Il5sgo0AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:58.509633Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.05734","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52a3187bdc16249ed8b5aeecc036001a9896554bb4deb8fdee81b6c8ff258649","sha256:627b7a1c26dc36d4827dcec67c48e6bda1a68d154b43ec5cf04860ada2dae61b"],"state_sha256":"8350a49a66b3a104c8ec978f7039e6021238a054c386fd82b1fbe90d71a9c90f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VvqXjzMn+hFrY/mkoAS6+Wa0dXlrf2NKKky15cS1dUzW81hUPdE5MQHXv2JlaTUYuqI8F/PLADSJwwzXWUvFCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:56:26.668897Z","bundle_sha256":"72e36b82f54647c75be77958d2592ae8c662daaf52b6d067d329424f3ef98336"}}