{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VPFWXFAXQHATEQIYEUVOVRKH5K","short_pith_number":"pith:VPFWXFAX","canonical_record":{"source":{"id":"1807.10729","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-27T16:56:26Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"3d3f224cb68f5322eadadc8d7684dec76c16d2e441d47db409da06a57e05658f","abstract_canon_sha256":"1c1d76aaf7606516d8daca6b732d070a2dcee78d3e6801e7b5d03d17e7de35e2"},"schema_version":"1.0"},"canonical_sha256":"abcb6b941781c1324118252aeac547eab657a4085063bd6258ca573c60d780b1","source":{"kind":"arxiv","id":"1807.10729","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.10729","created_at":"2026-05-17T23:58:30Z"},{"alias_kind":"arxiv_version","alias_value":"1807.10729v2","created_at":"2026-05-17T23:58:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.10729","created_at":"2026-05-17T23:58:30Z"},{"alias_kind":"pith_short_12","alias_value":"VPFWXFAXQHAT","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VPFWXFAXQHATEQIY","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VPFWXFAX","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VPFWXFAXQHATEQIYEUVOVRKH5K","target":"record","payload":{"canonical_record":{"source":{"id":"1807.10729","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-27T16:56:26Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"3d3f224cb68f5322eadadc8d7684dec76c16d2e441d47db409da06a57e05658f","abstract_canon_sha256":"1c1d76aaf7606516d8daca6b732d070a2dcee78d3e6801e7b5d03d17e7de35e2"},"schema_version":"1.0"},"canonical_sha256":"abcb6b941781c1324118252aeac547eab657a4085063bd6258ca573c60d780b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:30.621920Z","signature_b64":"jusKm/UXMTZv/Dvr7z1widbvej9/DHWDJP56YxsWMTaUjylCzcRwk7FeZ66Gts/dbDK6wf6+TSrNfmHOL47EBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abcb6b941781c1324118252aeac547eab657a4085063bd6258ca573c60d780b1","last_reissued_at":"2026-05-17T23:58:30.621342Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:30.621342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.10729","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":"2026-05-17T23:58:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CBZ5MOvfN0/4VzPmbkQgb3vAfQkM4jJkNf/R5x47dkpFJs5/ZhpwZ4gWC2u3NAbYHiZLmEbEdlu6P8qBLqRNAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:02:54.923729Z"},"content_sha256":"68de93ca4020b5231f90b3219ff5f94ffbe75d0b11fb64666adcfe3ecad6f756","schema_version":"1.0","event_id":"sha256:68de93ca4020b5231f90b3219ff5f94ffbe75d0b11fb64666adcfe3ecad6f756"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VPFWXFAXQHATEQIYEUVOVRKH5K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysing dissipative effects in the $\\Lambda$CDM model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Diego Saez-Chillon Gomez, Esteban Gonzalez, Norman Cruz, Samuel Lepe","submitted_at":"2018-07-27T16:56:26Z","abstract_excerpt":"In the present paper, the effects of viscous dark matter are analysed within the $\\Lambda$CDM model. Here we consider bulk viscosity through the Israel-Stewart theory approach, leading to an effective pressure term in the continuity equation that accomplishes for the dissipative effects of the dark matter fluid. Then, the corresponding equation for viscosity is solved and a general equation for the Hubble parameter is obtained with the presence of a cosmological constant. The existence of de Sitter solutions is discussed, where a wider range of solutions is found in comparison to the $\\Lambda$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.10729","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":"2026-05-17T23:58:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CmJ9N8zKXHUABuYirI0/oTtctgBBLYklIc1Yzb/c6gx4vVc2pT0GqrjqMnLWAYuPGx5vw5D7D7enTJCTKs5kDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:02:54.924539Z"},"content_sha256":"40aafc95adb67753d76c61fbb5ad60d4a6b1ed87e2200ba266cd901fdc77ddd2","schema_version":"1.0","event_id":"sha256:40aafc95adb67753d76c61fbb5ad60d4a6b1ed87e2200ba266cd901fdc77ddd2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VPFWXFAXQHATEQIYEUVOVRKH5K/bundle.json","state_url":"https://pith.science/pith/VPFWXFAXQHATEQIYEUVOVRKH5K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VPFWXFAXQHATEQIYEUVOVRKH5K/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":"2026-05-31T11:02:54Z","links":{"resolver":"https://pith.science/pith/VPFWXFAXQHATEQIYEUVOVRKH5K","bundle":"https://pith.science/pith/VPFWXFAXQHATEQIYEUVOVRKH5K/bundle.json","state":"https://pith.science/pith/VPFWXFAXQHATEQIYEUVOVRKH5K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VPFWXFAXQHATEQIYEUVOVRKH5K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VPFWXFAXQHATEQIYEUVOVRKH5K","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":"1c1d76aaf7606516d8daca6b732d070a2dcee78d3e6801e7b5d03d17e7de35e2","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-27T16:56:26Z","title_canon_sha256":"3d3f224cb68f5322eadadc8d7684dec76c16d2e441d47db409da06a57e05658f"},"schema_version":"1.0","source":{"id":"1807.10729","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.10729","created_at":"2026-05-17T23:58:30Z"},{"alias_kind":"arxiv_version","alias_value":"1807.10729v2","created_at":"2026-05-17T23:58:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.10729","created_at":"2026-05-17T23:58:30Z"},{"alias_kind":"pith_short_12","alias_value":"VPFWXFAXQHAT","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VPFWXFAXQHATEQIY","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VPFWXFAX","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:40aafc95adb67753d76c61fbb5ad60d4a6b1ed87e2200ba266cd901fdc77ddd2","target":"graph","created_at":"2026-05-17T23:58:30Z","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 the present paper, the effects of viscous dark matter are analysed within the $\\Lambda$CDM model. Here we consider bulk viscosity through the Israel-Stewart theory approach, leading to an effective pressure term in the continuity equation that accomplishes for the dissipative effects of the dark matter fluid. Then, the corresponding equation for viscosity is solved and a general equation for the Hubble parameter is obtained with the presence of a cosmological constant. The existence of de Sitter solutions is discussed, where a wider range of solutions is found in comparison to the $\\Lambda$","authors_text":"Diego Saez-Chillon Gomez, Esteban Gonzalez, Norman Cruz, Samuel Lepe","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-27T16:56:26Z","title":"Analysing dissipative effects in the $\\Lambda$CDM model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.10729","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":"sha256:68de93ca4020b5231f90b3219ff5f94ffbe75d0b11fb64666adcfe3ecad6f756","target":"record","created_at":"2026-05-17T23:58:30Z","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":"1c1d76aaf7606516d8daca6b732d070a2dcee78d3e6801e7b5d03d17e7de35e2","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-07-27T16:56:26Z","title_canon_sha256":"3d3f224cb68f5322eadadc8d7684dec76c16d2e441d47db409da06a57e05658f"},"schema_version":"1.0","source":{"id":"1807.10729","kind":"arxiv","version":2}},"canonical_sha256":"abcb6b941781c1324118252aeac547eab657a4085063bd6258ca573c60d780b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abcb6b941781c1324118252aeac547eab657a4085063bd6258ca573c60d780b1","first_computed_at":"2026-05-17T23:58:30.621342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:30.621342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jusKm/UXMTZv/Dvr7z1widbvej9/DHWDJP56YxsWMTaUjylCzcRwk7FeZ66Gts/dbDK6wf6+TSrNfmHOL47EBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:30.621920Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.10729","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68de93ca4020b5231f90b3219ff5f94ffbe75d0b11fb64666adcfe3ecad6f756","sha256:40aafc95adb67753d76c61fbb5ad60d4a6b1ed87e2200ba266cd901fdc77ddd2"],"state_sha256":"ef1319cc305abc430125909e8b83431803ae637d0feb112f82ce13bb4882849a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wS5/5wSqV1wneRdjbbJRcDZyR6rXnNfuGcFWhZazOuZcQ6gXomVMKPZGleY066UaVBDPgeDWBDyI2KHqSusrBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T11:02:54.928582Z","bundle_sha256":"7a2f20a52ce517c63b9ff03f84f1dac10680842785c2384753eb7c202b8a29e7"}}