{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HFUV7L6MMFXQU4LOVULCIRSQLR","short_pith_number":"pith:HFUV7L6M","schema_version":"1.0","canonical_sha256":"39695fafcc616f0a716ead162446505c7b34be662f1bde7ef9d513e03410dd0d","source":{"kind":"arxiv","id":"1908.11712","version":2},"attestation_state":"computed","paper":{"title":"The Lambert $W$ function: A newcomer in the Cosmology class?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Kazuharu Bamba, Subhajit Saha","submitted_at":"2019-08-29T16:25:42Z","abstract_excerpt":"We propose a novel equation of state (EoS) which explains the evolutionary history of a flat Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe. The uniqueness of this EoS lies in the fact that it incorporates the Lambert $W$ function in a special fashion. It is explicitly demonstrated that with observationally relevant values of the unknown parameters $\\vartheta_\\mathrm{1}$ and $\\vartheta_\\mathrm{2}$, all the evolutionary phases of the Universe can be reproduced. Moreover, it also shows that the initial singularity is unavoidable and asserts that the late-time acceleration of the Universe wo"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.11712","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-29T16:25:42Z","cross_cats_sorted":[],"title_canon_sha256":"a90554b98ed2ad4f8fda29f2dbb43e45a813344e4ad83f02272884e96d34c860","abstract_canon_sha256":"b74b9e112b1b1119f18d2d86c471e741f5b48a23a1e468231e97e95e8b9f3c72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:29:20.522542Z","signature_b64":"jU/pvP/q9Ud8UA7Bcl33gl6ZB5u6UTsJp/VqVnt1nY4xoJNDt1zMkiBdyAO8tRMuRM1Zgf8yiV+6Bsr2Iw/3Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39695fafcc616f0a716ead162446505c7b34be662f1bde7ef9d513e03410dd0d","last_reissued_at":"2026-07-05T00:29:20.522187Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:29:20.522187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Lambert $W$ function: A newcomer in the Cosmology class?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Kazuharu Bamba, Subhajit Saha","submitted_at":"2019-08-29T16:25:42Z","abstract_excerpt":"We propose a novel equation of state (EoS) which explains the evolutionary history of a flat Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe. The uniqueness of this EoS lies in the fact that it incorporates the Lambert $W$ function in a special fashion. It is explicitly demonstrated that with observationally relevant values of the unknown parameters $\\vartheta_\\mathrm{1}$ and $\\vartheta_\\mathrm{2}$, all the evolutionary phases of the Universe can be reproduced. Moreover, it also shows that the initial singularity is unavoidable and asserts that the late-time acceleration of the Universe wo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.11712","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.11712/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.11712","created_at":"2026-07-05T00:29:20.522247+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.11712v2","created_at":"2026-07-05T00:29:20.522247+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.11712","created_at":"2026-07-05T00:29:20.522247+00:00"},{"alias_kind":"pith_short_12","alias_value":"HFUV7L6MMFXQ","created_at":"2026-07-05T00:29:20.522247+00:00"},{"alias_kind":"pith_short_16","alias_value":"HFUV7L6MMFXQU4LO","created_at":"2026-07-05T00:29:20.522247+00:00"},{"alias_kind":"pith_short_8","alias_value":"HFUV7L6M","created_at":"2026-07-05T00:29:20.522247+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HFUV7L6MMFXQU4LOVULCIRSQLR","json":"https://pith.science/pith/HFUV7L6MMFXQU4LOVULCIRSQLR.json","graph_json":"https://pith.science/api/pith-number/HFUV7L6MMFXQU4LOVULCIRSQLR/graph.json","events_json":"https://pith.science/api/pith-number/HFUV7L6MMFXQU4LOVULCIRSQLR/events.json","paper":"https://pith.science/paper/HFUV7L6M"},"agent_actions":{"view_html":"https://pith.science/pith/HFUV7L6MMFXQU4LOVULCIRSQLR","download_json":"https://pith.science/pith/HFUV7L6MMFXQU4LOVULCIRSQLR.json","view_paper":"https://pith.science/paper/HFUV7L6M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.11712&json=true","fetch_graph":"https://pith.science/api/pith-number/HFUV7L6MMFXQU4LOVULCIRSQLR/graph.json","fetch_events":"https://pith.science/api/pith-number/HFUV7L6MMFXQU4LOVULCIRSQLR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HFUV7L6MMFXQU4LOVULCIRSQLR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HFUV7L6MMFXQU4LOVULCIRSQLR/action/storage_attestation","attest_author":"https://pith.science/pith/HFUV7L6MMFXQU4LOVULCIRSQLR/action/author_attestation","sign_citation":"https://pith.science/pith/HFUV7L6MMFXQU4LOVULCIRSQLR/action/citation_signature","submit_replication":"https://pith.science/pith/HFUV7L6MMFXQU4LOVULCIRSQLR/action/replication_record"}},"created_at":"2026-07-05T00:29:20.522247+00:00","updated_at":"2026-07-05T00:29:20.522247+00:00"}