{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:L3KMNA6BEVGJSUZDE2ZHRP6PBY","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":"f6c680a71aed619ad9b5d4bd0445160eae9cff3cbb9ee533ebadedbed15ea0bc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.SR","submitted_at":"2026-06-23T13:50:45Z","title_canon_sha256":"3b03dae74b3a8859ed46f17845b69c233d58ac5d553e18877c47d8b84d46513d"},"schema_version":"1.0","source":{"id":"2606.24587","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24587","created_at":"2026-06-24T01:15:36Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24587v1","created_at":"2026-06-24T01:15:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24587","created_at":"2026-06-24T01:15:36Z"},{"alias_kind":"pith_short_12","alias_value":"L3KMNA6BEVGJ","created_at":"2026-06-24T01:15:36Z"},{"alias_kind":"pith_short_16","alias_value":"L3KMNA6BEVGJSUZD","created_at":"2026-06-24T01:15:36Z"},{"alias_kind":"pith_short_8","alias_value":"L3KMNA6B","created_at":"2026-06-24T01:15:36Z"}],"graph_snapshots":[{"event_id":"sha256:88e2b3dc107fd99cede0982dad598de65cd3facf5fcc8b2c2863e16a9976cefb","target":"graph","created_at":"2026-06-24T01:15:36Z","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/2606.24587/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a simple analytical description for the structure and evolution of $3$--$10 M_\\odot$ stars throughout main-sequence hydrogen burning. We obtain an analytical relation for the convective core mass, $\\frac{M_\\star}{M_c}=1+2.1\\left(\\frac{\\mu_c}{\\mu_e}\\right)^2$, where $\\mu$ is the mean molecular weight of the core and envelope. Using this relation, we analytically derive the hydrogen abundance profile outside the convective core. We find that $\\mu(m)\\propto m^{-0.7}$, and show that this profile is important for an analytical description of these stars. Within this region of variable $\\m","authors_text":"Ravid Achituv, Reem Sari","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.SR","submitted_at":"2026-06-23T13:50:45Z","title":"Evolution of Stars During the Main Sequence and the Transition to the Red Giant Phase"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24587","kind":"arxiv","version":1},"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:a565dde9f038c6581f1577b8765a571539b16f5ba2e2c3c47dfb546a2e1e828e","target":"record","created_at":"2026-06-24T01:15:36Z","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":"f6c680a71aed619ad9b5d4bd0445160eae9cff3cbb9ee533ebadedbed15ea0bc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.SR","submitted_at":"2026-06-23T13:50:45Z","title_canon_sha256":"3b03dae74b3a8859ed46f17845b69c233d58ac5d553e18877c47d8b84d46513d"},"schema_version":"1.0","source":{"id":"2606.24587","kind":"arxiv","version":1}},"canonical_sha256":"5ed4c683c1254c99532326b278bfcf0e0fc92d17c9e6479870ada8aa5211f66b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ed4c683c1254c99532326b278bfcf0e0fc92d17c9e6479870ada8aa5211f66b","first_computed_at":"2026-06-24T01:15:36.155118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:15:36.155118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wFj3u6zSUtSwA6wjAFmM3dl2zkI8tlgQ8waNYqpnYlf1T6qhlp5ki4IV029otdnfRH3xVZ3hpLa1FOfW2Ka1Dw==","signature_status":"signed_v1","signed_at":"2026-06-24T01:15:36.155516Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.24587","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a565dde9f038c6581f1577b8765a571539b16f5ba2e2c3c47dfb546a2e1e828e","sha256:88e2b3dc107fd99cede0982dad598de65cd3facf5fcc8b2c2863e16a9976cefb"],"state_sha256":"9a866c9befc1d16855b13a22424b6f2f5e477a7c21a41c082f2fa1b00651d7ad"}