{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VSNFUV54Q4VFDN3CUA26XGSSIB","short_pith_number":"pith:VSNFUV54","canonical_record":{"source":{"id":"1603.01479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-04T14:36:38Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"b19114b1c7b008e673d7235c399c7c8a43ba1f5d5ac3e6e1f262c214d13f80cc","abstract_canon_sha256":"25c8ce10c77914a1161eac72a254e3e784b2865fbd541376341bdf5a253d05f8"},"schema_version":"1.0"},"canonical_sha256":"ac9a5a57bc872a51b762a035eb9a52406f50bf9eee17406e2f6446de9dbe2626","source":{"kind":"arxiv","id":"1603.01479","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01479","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01479v1","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01479","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"pith_short_12","alias_value":"VSNFUV54Q4VF","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VSNFUV54Q4VFDN3C","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VSNFUV54","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VSNFUV54Q4VFDN3CUA26XGSSIB","target":"record","payload":{"canonical_record":{"source":{"id":"1603.01479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-04T14:36:38Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"b19114b1c7b008e673d7235c399c7c8a43ba1f5d5ac3e6e1f262c214d13f80cc","abstract_canon_sha256":"25c8ce10c77914a1161eac72a254e3e784b2865fbd541376341bdf5a253d05f8"},"schema_version":"1.0"},"canonical_sha256":"ac9a5a57bc872a51b762a035eb9a52406f50bf9eee17406e2f6446de9dbe2626","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:35.930632Z","signature_b64":"Yz4e8idz1ZYYnQ1Y4wZdoX/8RFrLzXo/QN+BySDODh0+pcvbr3YJBKiYezEUqd02W0AVZZaB8pNpIuWkXyg3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac9a5a57bc872a51b762a035eb9a52406f50bf9eee17406e2f6446de9dbe2626","last_reissued_at":"2026-05-18T01:19:35.929950Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:35.929950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.01479","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":"2026-05-18T01:19:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SI5wICx8BI22hln3esvXFXHzEjMoSwaUM7Xhz7g2bSIJfRV9ChcfFA2HvhhyJXnxZP09U28ivyCTkAs/5GeEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T16:57:17.230853Z"},"content_sha256":"df0404759e51dc63ca3d7eac4fe5d1f492bd85a11ce484598f6b02ddc8d4fc19","schema_version":"1.0","event_id":"sha256:df0404759e51dc63ca3d7eac4fe5d1f492bd85a11ce484598f6b02ddc8d4fc19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VSNFUV54Q4VFDN3CUA26XGSSIB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pressure in Lema\\^{i}tre-Tolman-Bondi solutions and cosmologies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Donald Lynden-Bell, Ji\\v{r}\\'i Bi\\v{c}\\'ak","submitted_at":"2016-03-04T14:36:38Z","abstract_excerpt":"Lema\\^{i}tre-Tolman-Bondi (LTB) solutions have traditionally been confined to systems with no pressure in which the gravity is due to massive dust, but the solutions are little changed in form if, as in cosmology, the pressure is uniform in space at each comoving time. This allows the equations of cosmology to be deduced in a manner that more closely resembles classical mechanics. It also gives some inhomogeneous solutions with growing condensations and black holes. We give criteria by which the sizes of different closed models of the universe can be compared and discuss conditions for self-cl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01479","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":"2026-05-18T01:19:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mfP+lnQlfmgus7/0ShtTIbwdK9gvQLEm01H4My7qz5bK7b4EqkCPbEYVJHRBLwl35bEZOoVbCAvjmSzdS8piDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T16:57:17.231552Z"},"content_sha256":"8fcf8ca21dcd97526f628b598e4c05f71ca6a65693da772b893a4da182a206f5","schema_version":"1.0","event_id":"sha256:8fcf8ca21dcd97526f628b598e4c05f71ca6a65693da772b893a4da182a206f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VSNFUV54Q4VFDN3CUA26XGSSIB/bundle.json","state_url":"https://pith.science/pith/VSNFUV54Q4VFDN3CUA26XGSSIB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VSNFUV54Q4VFDN3CUA26XGSSIB/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":"2026-05-24T16:57:17Z","links":{"resolver":"https://pith.science/pith/VSNFUV54Q4VFDN3CUA26XGSSIB","bundle":"https://pith.science/pith/VSNFUV54Q4VFDN3CUA26XGSSIB/bundle.json","state":"https://pith.science/pith/VSNFUV54Q4VFDN3CUA26XGSSIB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VSNFUV54Q4VFDN3CUA26XGSSIB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VSNFUV54Q4VFDN3CUA26XGSSIB","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":"25c8ce10c77914a1161eac72a254e3e784b2865fbd541376341bdf5a253d05f8","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-04T14:36:38Z","title_canon_sha256":"b19114b1c7b008e673d7235c399c7c8a43ba1f5d5ac3e6e1f262c214d13f80cc"},"schema_version":"1.0","source":{"id":"1603.01479","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01479","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01479v1","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01479","created_at":"2026-05-18T01:19:35Z"},{"alias_kind":"pith_short_12","alias_value":"VSNFUV54Q4VF","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VSNFUV54Q4VFDN3C","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VSNFUV54","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:8fcf8ca21dcd97526f628b598e4c05f71ca6a65693da772b893a4da182a206f5","target":"graph","created_at":"2026-05-18T01:19:35Z","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":"Lema\\^{i}tre-Tolman-Bondi (LTB) solutions have traditionally been confined to systems with no pressure in which the gravity is due to massive dust, but the solutions are little changed in form if, as in cosmology, the pressure is uniform in space at each comoving time. This allows the equations of cosmology to be deduced in a manner that more closely resembles classical mechanics. It also gives some inhomogeneous solutions with growing condensations and black holes. We give criteria by which the sizes of different closed models of the universe can be compared and discuss conditions for self-cl","authors_text":"Donald Lynden-Bell, Ji\\v{r}\\'i Bi\\v{c}\\'ak","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-04T14:36:38Z","title":"Pressure in Lema\\^{i}tre-Tolman-Bondi solutions and cosmologies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01479","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:df0404759e51dc63ca3d7eac4fe5d1f492bd85a11ce484598f6b02ddc8d4fc19","target":"record","created_at":"2026-05-18T01:19:35Z","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":"25c8ce10c77914a1161eac72a254e3e784b2865fbd541376341bdf5a253d05f8","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-04T14:36:38Z","title_canon_sha256":"b19114b1c7b008e673d7235c399c7c8a43ba1f5d5ac3e6e1f262c214d13f80cc"},"schema_version":"1.0","source":{"id":"1603.01479","kind":"arxiv","version":1}},"canonical_sha256":"ac9a5a57bc872a51b762a035eb9a52406f50bf9eee17406e2f6446de9dbe2626","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac9a5a57bc872a51b762a035eb9a52406f50bf9eee17406e2f6446de9dbe2626","first_computed_at":"2026-05-18T01:19:35.929950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:35.929950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yz4e8idz1ZYYnQ1Y4wZdoX/8RFrLzXo/QN+BySDODh0+pcvbr3YJBKiYezEUqd02W0AVZZaB8pNpIuWkXyg3BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:35.930632Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.01479","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df0404759e51dc63ca3d7eac4fe5d1f492bd85a11ce484598f6b02ddc8d4fc19","sha256:8fcf8ca21dcd97526f628b598e4c05f71ca6a65693da772b893a4da182a206f5"],"state_sha256":"731662eab0e12e01d69795ca5c0d921c10195dd7f5e5f13db6e4457dc702912a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uZUhe5TdNSnW3i+5w5A7Xxu1tvVhZ8x6RqvsoO3erW7D0bRSlIRXX7f2BX+feNInPIl2S9zw2NaZU/SCqO+JCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T16:57:17.235459Z","bundle_sha256":"006dcc7c36b2f79345dcf03b5cac52690de5e39d6e3466cb9bce302de115a1a4"}}