{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:OOH3EYEGQHZAYVC4ZLCXXU7UWO","short_pith_number":"pith:OOH3EYEG","schema_version":"1.0","canonical_sha256":"738fb2608681f20c545ccac57bd3f4b3a6856ca0fc1e991d7bdb7d71996365b2","source":{"kind":"arxiv","id":"1607.04338","version":1},"attestation_state":"computed","paper":{"title":"Analytic Models of Brown Dwarfs and The Substellar Mass Limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Sayantan Auddy, Shantanu Basu, S. R. Valluri","submitted_at":"2016-07-14T22:45:14Z","abstract_excerpt":"We present the current status of the analytic theory of brown dwarf evolution and the lower mass limit of the hydrogen burning main sequence stars. In the spirit of a simplified analytic theory we also introduce some modifications to the existing models. We give an exact expression for the pressure of an ideal non-relativistic Fermi gas at a finite temperature, therefore allowing for non-zero values of the degeneracy parameter ($\\psi = \\frac{kT}{\\mu_{F}}$, where $\\mu_{F}$ is the Fermi energy). We review the derivation of surface luminosity using an entropy matching condition and the first-orde"},"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":"1607.04338","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2016-07-14T22:45:14Z","cross_cats_sorted":[],"title_canon_sha256":"9f42c5be5f5b21a8585df158d196d1850d24cca2dff19f084c7a7f379e9d516c","abstract_canon_sha256":"ba93f9eccf3c3b44ca2b47278cb23a7e18a0290964dfe5abe444fa58f80599fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:23.114333Z","signature_b64":"8W+AKuM4Yypyk4SJv8HEyEUZDicKaEbf3bEr/fVUoNf3geMKIS3EfkfC+oc5Ju71kTLByCgirjk1K/aZiwc0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"738fb2608681f20c545ccac57bd3f4b3a6856ca0fc1e991d7bdb7d71996365b2","last_reissued_at":"2026-05-18T01:01:23.113777Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:23.113777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic Models of Brown Dwarfs and The Substellar Mass Limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Sayantan Auddy, Shantanu Basu, S. R. Valluri","submitted_at":"2016-07-14T22:45:14Z","abstract_excerpt":"We present the current status of the analytic theory of brown dwarf evolution and the lower mass limit of the hydrogen burning main sequence stars. In the spirit of a simplified analytic theory we also introduce some modifications to the existing models. We give an exact expression for the pressure of an ideal non-relativistic Fermi gas at a finite temperature, therefore allowing for non-zero values of the degeneracy parameter ($\\psi = \\frac{kT}{\\mu_{F}}$, where $\\mu_{F}$ is the Fermi energy). We review the derivation of surface luminosity using an entropy matching condition and the first-orde"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04338","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1607.04338","created_at":"2026-05-18T01:01:23.113845+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.04338v1","created_at":"2026-05-18T01:01:23.113845+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04338","created_at":"2026-05-18T01:01:23.113845+00:00"},{"alias_kind":"pith_short_12","alias_value":"OOH3EYEGQHZA","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"OOH3EYEGQHZAYVC4","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"OOH3EYEG","created_at":"2026-05-18T12:30:36.002864+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/OOH3EYEGQHZAYVC4ZLCXXU7UWO","json":"https://pith.science/pith/OOH3EYEGQHZAYVC4ZLCXXU7UWO.json","graph_json":"https://pith.science/api/pith-number/OOH3EYEGQHZAYVC4ZLCXXU7UWO/graph.json","events_json":"https://pith.science/api/pith-number/OOH3EYEGQHZAYVC4ZLCXXU7UWO/events.json","paper":"https://pith.science/paper/OOH3EYEG"},"agent_actions":{"view_html":"https://pith.science/pith/OOH3EYEGQHZAYVC4ZLCXXU7UWO","download_json":"https://pith.science/pith/OOH3EYEGQHZAYVC4ZLCXXU7UWO.json","view_paper":"https://pith.science/paper/OOH3EYEG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.04338&json=true","fetch_graph":"https://pith.science/api/pith-number/OOH3EYEGQHZAYVC4ZLCXXU7UWO/graph.json","fetch_events":"https://pith.science/api/pith-number/OOH3EYEGQHZAYVC4ZLCXXU7UWO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OOH3EYEGQHZAYVC4ZLCXXU7UWO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OOH3EYEGQHZAYVC4ZLCXXU7UWO/action/storage_attestation","attest_author":"https://pith.science/pith/OOH3EYEGQHZAYVC4ZLCXXU7UWO/action/author_attestation","sign_citation":"https://pith.science/pith/OOH3EYEGQHZAYVC4ZLCXXU7UWO/action/citation_signature","submit_replication":"https://pith.science/pith/OOH3EYEGQHZAYVC4ZLCXXU7UWO/action/replication_record"}},"created_at":"2026-05-18T01:01:23.113845+00:00","updated_at":"2026-05-18T01:01:23.113845+00:00"}