{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:C32NSPXP5WFB26AB5S2ETMQ3W3","short_pith_number":"pith:C32NSPXP","canonical_record":{"source":{"id":"1311.5241","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-11-20T21:19:10Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ad15adc5399d479cff28fd359324b9734c4b2b78e4482f2d07ef798eaf494f0c","abstract_canon_sha256":"0f631145cf2215cc33341a06d9f5bd185b0360f9657ef229607531fca4460596"},"schema_version":"1.0"},"canonical_sha256":"16f4d93eefed8a1d7801ecb449b21bb6d70ff50b8f2a7fda11e940454fb342e0","source":{"kind":"arxiv","id":"1311.5241","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5241","created_at":"2026-05-18T02:44:56Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5241v2","created_at":"2026-05-18T02:44:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5241","created_at":"2026-05-18T02:44:56Z"},{"alias_kind":"pith_short_12","alias_value":"C32NSPXP5WFB","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"C32NSPXP5WFB26AB","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"C32NSPXP","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:C32NSPXP5WFB26AB5S2ETMQ3W3","target":"record","payload":{"canonical_record":{"source":{"id":"1311.5241","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-11-20T21:19:10Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ad15adc5399d479cff28fd359324b9734c4b2b78e4482f2d07ef798eaf494f0c","abstract_canon_sha256":"0f631145cf2215cc33341a06d9f5bd185b0360f9657ef229607531fca4460596"},"schema_version":"1.0"},"canonical_sha256":"16f4d93eefed8a1d7801ecb449b21bb6d70ff50b8f2a7fda11e940454fb342e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:56.820356Z","signature_b64":"ULAWQ/sK5ZOVkLanpCQGrxJ9kAOrtRu1WOjHJcGNPVosalwjruft7NUs5t5LQimwbw4FV+95c9aoUOPAZjamAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16f4d93eefed8a1d7801ecb449b21bb6d70ff50b8f2a7fda11e940454fb342e0","last_reissued_at":"2026-05-18T02:44:56.819707Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:56.819707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.5241","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:44:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZCZF2rZA+WB8IlC8UlGEqB+1vtsiyS75+QcJdCl8iSjNXE24+DFi8XPx42YfheFNBkZHBunI1YTG5ex0SFBECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:18:46.135673Z"},"content_sha256":"af9fea2be4e72e0533e5875b57a980c839e467bc432b96bf252c874044659d18","schema_version":"1.0","event_id":"sha256:af9fea2be4e72e0533e5875b57a980c839e467bc432b96bf252c874044659d18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:C32NSPXP5WFB26AB5S2ETMQ3W3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Evolution of linear perturbations in spherically symmetric dust spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Chris Clarkson, Denis Pollney, Julien Larena, Sean February","submitted_at":"2013-11-20T21:19:10Z","abstract_excerpt":"We present results from a numerical code implementing a new method to solve the master equations describing the evolution of linear perturbations in a spherically symmetric but inhomogeneous background. This method can be used to simulate several configurations of physical interest, such as relativistic corrections to structure formation, the lensing of gravitational waves and the evolution of perturbations in a cosmological void model. This paper focuses on the latter problem, i.e. structure formation in a Hubble scale void in the linear regime. This is considerably more complicated than line"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5241","kind":"arxiv","version":2},"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":"2026-05-18T02:44:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FnVCmWUbO+CIwGSWHL2WGkmAvOeSy9lBvYLJkx2acbg7jNfYsfN0V32EAP177vij+P6GaLhGw+NV5o7cJYRACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:18:46.136248Z"},"content_sha256":"ac2350bc34c697125bcfd17ee1f83a9778c800d43cdead93c96e502f72b206ed","schema_version":"1.0","event_id":"sha256:ac2350bc34c697125bcfd17ee1f83a9778c800d43cdead93c96e502f72b206ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C32NSPXP5WFB26AB5S2ETMQ3W3/bundle.json","state_url":"https://pith.science/pith/C32NSPXP5WFB26AB5S2ETMQ3W3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C32NSPXP5WFB26AB5S2ETMQ3W3/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":"2026-05-27T17:18:46Z","links":{"resolver":"https://pith.science/pith/C32NSPXP5WFB26AB5S2ETMQ3W3","bundle":"https://pith.science/pith/C32NSPXP5WFB26AB5S2ETMQ3W3/bundle.json","state":"https://pith.science/pith/C32NSPXP5WFB26AB5S2ETMQ3W3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C32NSPXP5WFB26AB5S2ETMQ3W3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:C32NSPXP5WFB26AB5S2ETMQ3W3","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":"0f631145cf2215cc33341a06d9f5bd185b0360f9657ef229607531fca4460596","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-11-20T21:19:10Z","title_canon_sha256":"ad15adc5399d479cff28fd359324b9734c4b2b78e4482f2d07ef798eaf494f0c"},"schema_version":"1.0","source":{"id":"1311.5241","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5241","created_at":"2026-05-18T02:44:56Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5241v2","created_at":"2026-05-18T02:44:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5241","created_at":"2026-05-18T02:44:56Z"},{"alias_kind":"pith_short_12","alias_value":"C32NSPXP5WFB","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"C32NSPXP5WFB26AB","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"C32NSPXP","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:ac2350bc34c697125bcfd17ee1f83a9778c800d43cdead93c96e502f72b206ed","target":"graph","created_at":"2026-05-18T02:44:56Z","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":"We present results from a numerical code implementing a new method to solve the master equations describing the evolution of linear perturbations in a spherically symmetric but inhomogeneous background. This method can be used to simulate several configurations of physical interest, such as relativistic corrections to structure formation, the lensing of gravitational waves and the evolution of perturbations in a cosmological void model. This paper focuses on the latter problem, i.e. structure formation in a Hubble scale void in the linear regime. This is considerably more complicated than line","authors_text":"Chris Clarkson, Denis Pollney, Julien Larena, Sean February","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-11-20T21:19:10Z","title":"Evolution of linear perturbations in spherically symmetric dust spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5241","kind":"arxiv","version":2},"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:af9fea2be4e72e0533e5875b57a980c839e467bc432b96bf252c874044659d18","target":"record","created_at":"2026-05-18T02:44:56Z","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":"0f631145cf2215cc33341a06d9f5bd185b0360f9657ef229607531fca4460596","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-11-20T21:19:10Z","title_canon_sha256":"ad15adc5399d479cff28fd359324b9734c4b2b78e4482f2d07ef798eaf494f0c"},"schema_version":"1.0","source":{"id":"1311.5241","kind":"arxiv","version":2}},"canonical_sha256":"16f4d93eefed8a1d7801ecb449b21bb6d70ff50b8f2a7fda11e940454fb342e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16f4d93eefed8a1d7801ecb449b21bb6d70ff50b8f2a7fda11e940454fb342e0","first_computed_at":"2026-05-18T02:44:56.819707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:56.819707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ULAWQ/sK5ZOVkLanpCQGrxJ9kAOrtRu1WOjHJcGNPVosalwjruft7NUs5t5LQimwbw4FV+95c9aoUOPAZjamAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:56.820356Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5241","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af9fea2be4e72e0533e5875b57a980c839e467bc432b96bf252c874044659d18","sha256:ac2350bc34c697125bcfd17ee1f83a9778c800d43cdead93c96e502f72b206ed"],"state_sha256":"d673a9421d815272d1d4590f5aadd71871b7d46b6c2f5644a611729ba4f3ab21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VjbXHdbN25sot3P8szhVrLiJ2fSpWkaE8o0dlPnlbUEE7aUBSs4+koE62+v5AJJvJttHPIXNLKTuh8vaYrjACQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:18:46.139301Z","bundle_sha256":"52160d34557c477ade2636b0465c5c22a8902828197e0cdc9aa448c483421f44"}}