{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:E3ZQZVOTCQV7YU3W6XZ76YWEBN","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":"5c32bad71067f2732cde52871416967e895770eb842ff72d2c5dca33a497d0b1","cross_cats_sorted":["astro-ph.GA","astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-12-04T16:16:56Z","title_canon_sha256":"4ee3b03282ed2489f5f75a847555b3a18bd5d1d78886591847c087f0d0535925"},"schema_version":"1.0","source":{"id":"1212.0778","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0778","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0778v2","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0778","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"pith_short_12","alias_value":"E3ZQZVOTCQV7","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"E3ZQZVOTCQV7YU3W","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"E3ZQZVOT","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:601bdc0d53fde730f70e1bad45395b0dc5b6f874101e3c7455e2e5297234732a","target":"graph","created_at":"2026-05-18T01:52:47Z","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":"This work aims at presenting the first two-dimensional models of an isolated rapidly rotating star that include the derivation of the differential rotation and meridional circulation in a self-consistent way.We use spectral methods in multidomains, together with a Newton algorithm to determine the steady state solutions including differential rotation and meridional circulation for an isolated non-magnetic, rapidly rotating early-type star. In particular we devise an asymptotic method for small Ekman numbers (small viscosities) that removes the Ekman boundary layer and lifts the degeneracy of ","authors_text":"CNRS), F. Espinosa Lara (1), M. Rieutord (1) ((1) IRAP, Toulouse University","cross_cats":["astro-ph.GA","astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-12-04T16:16:56Z","title":"Self-consistent 2D models of fast rotating early-type star"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0778","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:bd3f4ec9688e4d815d0a56231e2eb4c2b19e15d448b3627fe9a81aa113fc566b","target":"record","created_at":"2026-05-18T01:52:47Z","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":"5c32bad71067f2732cde52871416967e895770eb842ff72d2c5dca33a497d0b1","cross_cats_sorted":["astro-ph.GA","astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-12-04T16:16:56Z","title_canon_sha256":"4ee3b03282ed2489f5f75a847555b3a18bd5d1d78886591847c087f0d0535925"},"schema_version":"1.0","source":{"id":"1212.0778","kind":"arxiv","version":2}},"canonical_sha256":"26f30cd5d3142bfc5376f5f3ff62c40b5a5de713004445c5db1adfd440f244fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26f30cd5d3142bfc5376f5f3ff62c40b5a5de713004445c5db1adfd440f244fc","first_computed_at":"2026-05-18T01:52:47.830365Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:47.830365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fd4IEqLtl+m8v4+htJ5L3wfQCyuIHgY8P++XEZyUqv4eOKp+qTlzBMtFoS0uIRIHXHfvYLZCKwkpAC6WQCTFBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:47.830732Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.0778","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd3f4ec9688e4d815d0a56231e2eb4c2b19e15d448b3627fe9a81aa113fc566b","sha256:601bdc0d53fde730f70e1bad45395b0dc5b6f874101e3c7455e2e5297234732a"],"state_sha256":"8d383e307a44098fb50364ee4514ce8e897e05e000a1589682a15e941ae9c11c"}