{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5SC4O7PDORCT64RTSBTP4MQ6VG","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":"515b35bf3c13e68ee998162dff9c81601637e5167274c3b0680a563ccac843ef","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-01-28T19:19:25Z","title_canon_sha256":"e26bcadf251419f53e7c273ae4a899374bacd6a167cfb37c3aec06338d558f91"},"schema_version":"1.0","source":{"id":"2601.20972","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.20972","created_at":"2026-07-15T01:20:54Z"},{"alias_kind":"arxiv_version","alias_value":"2601.20972v2","created_at":"2026-07-15T01:20:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.20972","created_at":"2026-07-15T01:20:54Z"},{"alias_kind":"pith_short_12","alias_value":"5SC4O7PDORCT","created_at":"2026-07-15T01:20:54Z"},{"alias_kind":"pith_short_16","alias_value":"5SC4O7PDORCT64RT","created_at":"2026-07-15T01:20:54Z"},{"alias_kind":"pith_short_8","alias_value":"5SC4O7PD","created_at":"2026-07-15T01:20:54Z"}],"graph_snapshots":[{"event_id":"sha256:7293a4b274f0895728adaf386474c9fe1a38b4e90bb6232486b25e91a778993d","target":"graph","created_at":"2026-07-15T01:20:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2601.20972/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a unified dark-fluid model whose effective equation of state (EoS) is described by logarithmic and power-law terms involving the Lambert $W$ function. The model parameters are constrained using BAO data, including DESI measurements, together with Pantheon+ Type Ia supernova observations and direct Hubble parameter measurements. The analysis yields $\\theta_{1}=0.087\\pm 0.011$, $\\theta_{2}=-3.35\\pm 0.13$, $r_d = 146\\pm 2.5$~Mpc, and $H_0 = 67.4 \\pm 1.2~\\text{km\\,s}^{-1}\\text{Mpc}^{-1}$. The inferred Hubble constant, $H_{0}$, is consistent with the Planck 2018 measurement and remai","authors_text":"Abdulla Al Mamon, Subhajit Saha, Vipin Chandra Dubey","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-01-28T19:19:25Z","title":"The Lambert $W$ equation of state in light of DESI BAO"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.20972","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":"sha256:0a9222c6bbb349e89c35f0709b4ff72e56a64685351084b3a6c1c2f3072c38b4","target":"record","created_at":"2026-07-15T01:20:54Z","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":"515b35bf3c13e68ee998162dff9c81601637e5167274c3b0680a563ccac843ef","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-01-28T19:19:25Z","title_canon_sha256":"e26bcadf251419f53e7c273ae4a899374bacd6a167cfb37c3aec06338d558f91"},"schema_version":"1.0","source":{"id":"2601.20972","kind":"arxiv","version":2}},"canonical_sha256":"ec85c77de374453f72339066fe321ea9894f7c1bd361fd51e7ff79c14c735582","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec85c77de374453f72339066fe321ea9894f7c1bd361fd51e7ff79c14c735582","first_computed_at":"2026-07-15T01:20:54.805211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-15T01:20:54.805211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QmKJa4mW6lER+Au+N87hESxIJey/ggPOcOSSXorUva1nHAe0k5YtMmBDxKaiQle4q09rwXpkTF/EsRAVyfWkAw==","signature_status":"signed_v1","signed_at":"2026-07-15T01:20:54.806115Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.20972","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a9222c6bbb349e89c35f0709b4ff72e56a64685351084b3a6c1c2f3072c38b4","sha256:7293a4b274f0895728adaf386474c9fe1a38b4e90bb6232486b25e91a778993d"],"state_sha256":"f01ba07be0ffbe20e46099a2bcd7dde1f89170bb0f51949949020ca26a4d1493"}