{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:WYQAWKU3XRKUU2P7272MAHB4EJ","short_pith_number":"pith:WYQAWKU3","canonical_record":{"source":{"id":"1112.4141","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-12-18T09:44:40Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"27747c47f4c77dc3050e584f3cb78547606fd74e85fc1ddcdef5e9b3ffec82aa","abstract_canon_sha256":"16bd00347c6d29591c553840c2b5af33680f2d930ae85e6f86b1ecb6882f24e4"},"schema_version":"1.0"},"canonical_sha256":"b6200b2a9bbc554a69ffd7f4c01c3c2268a7a6ca850a15a8c26c73c213cdd3a6","source":{"kind":"arxiv","id":"1112.4141","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4141","created_at":"2026-05-18T03:57:00Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4141v2","created_at":"2026-05-18T03:57:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4141","created_at":"2026-05-18T03:57:00Z"},{"alias_kind":"pith_short_12","alias_value":"WYQAWKU3XRKU","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WYQAWKU3XRKUU2P7","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WYQAWKU3","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:WYQAWKU3XRKUU2P7272MAHB4EJ","target":"record","payload":{"canonical_record":{"source":{"id":"1112.4141","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-12-18T09:44:40Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"27747c47f4c77dc3050e584f3cb78547606fd74e85fc1ddcdef5e9b3ffec82aa","abstract_canon_sha256":"16bd00347c6d29591c553840c2b5af33680f2d930ae85e6f86b1ecb6882f24e4"},"schema_version":"1.0"},"canonical_sha256":"b6200b2a9bbc554a69ffd7f4c01c3c2268a7a6ca850a15a8c26c73c213cdd3a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:00.148468Z","signature_b64":"uACvqTcZ0jEw74/R4oJRfffOhtSYFhbX4/qP4zW/YYz9w/3JrjQVCod7hiZSudXW7U8bZwkIz4lTZ8jwiQfQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6200b2a9bbc554a69ffd7f4c01c3c2268a7a6ca850a15a8c26c73c213cdd3a6","last_reissued_at":"2026-05-18T03:57:00.147550Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:00.147550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.4141","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":"2026-05-18T03:57:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rKnRP3Td6Za3R7J8JCKZSOEjgVmgeUf2f7YWBoTlq2MTZOZQwK7BnLLPH5YOtEqjccomvsVGTeVPBc5+4nvIBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:02:38.611895Z"},"content_sha256":"a2f36535cefa05adafa926e00244809c7f87ff58ad8821d8d46ee72b361f53d0","schema_version":"1.0","event_id":"sha256:a2f36535cefa05adafa926e00244809c7f87ff58ad8821d8d46ee72b361f53d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:WYQAWKU3XRKUU2P7272MAHB4EJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rastall Cosmology and the \\Lambda CDM Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Carlos E. M. Batista, Davi C. Rodrigues, J\\'ulio C. Fabris, Mahamadou H. Daouda, Oliver F. Piattella","submitted_at":"2011-12-18T09:44:40Z","abstract_excerpt":"Rastall's theory is based on the non-conservation of the energy-momentum tensor. We show that, in this theory, if we introduce a two-fluid model, one component representing vacuum energy whereas the other pressureless matter (e.g. baryons plus cold dark matter), the cosmological scenario is the same as for the \\Lambda CDM model, both at background and linear perturbative levels, except for one aspect: now dark energy may cluster. We speculate that this can lead to a possibility of distinguishing the models at the non-linear perturbative level."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4141","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":"2026-05-18T03:57:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aaabZfrUTjMuyDq+2sYGVahNrZsav990CXb4g7PiQ0d3JPkBenweoHo6n8sBJcUGmRxJ3EvOmBhRgyKeIYafDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:02:38.612258Z"},"content_sha256":"65d80d5813e9a511ea4d5263de89e0fbb0305c2c8a2a95788c54577c26f293d7","schema_version":"1.0","event_id":"sha256:65d80d5813e9a511ea4d5263de89e0fbb0305c2c8a2a95788c54577c26f293d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WYQAWKU3XRKUU2P7272MAHB4EJ/bundle.json","state_url":"https://pith.science/pith/WYQAWKU3XRKUU2P7272MAHB4EJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WYQAWKU3XRKUU2P7272MAHB4EJ/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":"2026-05-26T04:02:38Z","links":{"resolver":"https://pith.science/pith/WYQAWKU3XRKUU2P7272MAHB4EJ","bundle":"https://pith.science/pith/WYQAWKU3XRKUU2P7272MAHB4EJ/bundle.json","state":"https://pith.science/pith/WYQAWKU3XRKUU2P7272MAHB4EJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WYQAWKU3XRKUU2P7272MAHB4EJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WYQAWKU3XRKUU2P7272MAHB4EJ","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":"16bd00347c6d29591c553840c2b5af33680f2d930ae85e6f86b1ecb6882f24e4","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-12-18T09:44:40Z","title_canon_sha256":"27747c47f4c77dc3050e584f3cb78547606fd74e85fc1ddcdef5e9b3ffec82aa"},"schema_version":"1.0","source":{"id":"1112.4141","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4141","created_at":"2026-05-18T03:57:00Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4141v2","created_at":"2026-05-18T03:57:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4141","created_at":"2026-05-18T03:57:00Z"},{"alias_kind":"pith_short_12","alias_value":"WYQAWKU3XRKU","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WYQAWKU3XRKUU2P7","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WYQAWKU3","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:65d80d5813e9a511ea4d5263de89e0fbb0305c2c8a2a95788c54577c26f293d7","target":"graph","created_at":"2026-05-18T03:57:00Z","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":"Rastall's theory is based on the non-conservation of the energy-momentum tensor. We show that, in this theory, if we introduce a two-fluid model, one component representing vacuum energy whereas the other pressureless matter (e.g. baryons plus cold dark matter), the cosmological scenario is the same as for the \\Lambda CDM model, both at background and linear perturbative levels, except for one aspect: now dark energy may cluster. We speculate that this can lead to a possibility of distinguishing the models at the non-linear perturbative level.","authors_text":"Carlos E. M. Batista, Davi C. Rodrigues, J\\'ulio C. Fabris, Mahamadou H. Daouda, Oliver F. Piattella","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-12-18T09:44:40Z","title":"Rastall Cosmology and the \\Lambda CDM Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4141","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:a2f36535cefa05adafa926e00244809c7f87ff58ad8821d8d46ee72b361f53d0","target":"record","created_at":"2026-05-18T03:57:00Z","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":"16bd00347c6d29591c553840c2b5af33680f2d930ae85e6f86b1ecb6882f24e4","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-12-18T09:44:40Z","title_canon_sha256":"27747c47f4c77dc3050e584f3cb78547606fd74e85fc1ddcdef5e9b3ffec82aa"},"schema_version":"1.0","source":{"id":"1112.4141","kind":"arxiv","version":2}},"canonical_sha256":"b6200b2a9bbc554a69ffd7f4c01c3c2268a7a6ca850a15a8c26c73c213cdd3a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6200b2a9bbc554a69ffd7f4c01c3c2268a7a6ca850a15a8c26c73c213cdd3a6","first_computed_at":"2026-05-18T03:57:00.147550Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:00.147550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uACvqTcZ0jEw74/R4oJRfffOhtSYFhbX4/qP4zW/YYz9w/3JrjQVCod7hiZSudXW7U8bZwkIz4lTZ8jwiQfQDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:00.148468Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.4141","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2f36535cefa05adafa926e00244809c7f87ff58ad8821d8d46ee72b361f53d0","sha256:65d80d5813e9a511ea4d5263de89e0fbb0305c2c8a2a95788c54577c26f293d7"],"state_sha256":"81f1f07dde8b993cd3c88e660464bdfbc48b4cee9a89579db9db9eb2d5f8af49"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BcRenA/L9XQ1qHQwlJhxT/b3/K2wUer5RjNvxBBe3c2vDrY1L5o++poD+yDaSemvC4/qGA9N5dxwpLSDNc7pBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:02:38.614785Z","bundle_sha256":"061a0da21715731ede9ffca995b003711f827f5802d16aaedd5607aea48cfa9b"}}