{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:B2HB6IWT3IPA2HJ3CUXAPKTOWP","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":"318570a4274d927e2430d7ae3cf78d3eaf502cffa1a554dfe83931857c5b0abb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-12-21T22:11:32Z","title_canon_sha256":"d9655918e11581cfa81b1e7d9bfdedc5c0f875df749e621733bcc581fe0d33d2"},"schema_version":"1.0","source":{"id":"2012.11709","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.11709","created_at":"2026-07-05T02:46:11Z"},{"alias_kind":"arxiv_version","alias_value":"2012.11709v2","created_at":"2026-07-05T02:46:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.11709","created_at":"2026-07-05T02:46:11Z"},{"alias_kind":"pith_short_12","alias_value":"B2HB6IWT3IPA","created_at":"2026-07-05T02:46:11Z"},{"alias_kind":"pith_short_16","alias_value":"B2HB6IWT3IPA2HJ3","created_at":"2026-07-05T02:46:11Z"},{"alias_kind":"pith_short_8","alias_value":"B2HB6IWT","created_at":"2026-07-05T02:46:11Z"}],"graph_snapshots":[{"event_id":"sha256:f0468fb2faea8f5cacd8b1aff1d865fc8e6322d7500bad560bec514f32dfcc2a","target":"graph","created_at":"2026-07-05T02:46:11Z","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/2012.11709/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The formation and stability of collisionless self-gravitating systems are long standing problems, which date back to the work of D. Lynden-Bell on violent relaxation and extends to the issue of virialization of dark matter (DM) halos. An important prediction of such a relaxation process is that spherical equilibrium states can be described by a Fermi-Dirac phase-space distribution, when the extremization of a coarse-grained entropy is reached. In the case of DM fermions, the most general solution develops a degenerate compact core surrounded by a diluted halo. As shown recently, the latter is ","authors_text":"Andreas Krut, Carlos R. Arg\\\"uelles, Manuel I. D\\'iaz, Rafael Yunis","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-12-21T22:11:32Z","title":"On the formation and stability of fermionic dark matter halos in a cosmological framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.11709","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":"sha256:1343020533fc7d0c0a13a7112e67ea6a24cf1305690bb9dbfe9b34e65e5984cb","target":"record","created_at":"2026-07-05T02:46:11Z","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":"318570a4274d927e2430d7ae3cf78d3eaf502cffa1a554dfe83931857c5b0abb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-12-21T22:11:32Z","title_canon_sha256":"d9655918e11581cfa81b1e7d9bfdedc5c0f875df749e621733bcc581fe0d33d2"},"schema_version":"1.0","source":{"id":"2012.11709","kind":"arxiv","version":2}},"canonical_sha256":"0e8e1f22d3da1e0d1d3b152e07aa6eb3f2dcf01e0e6ef6346b365569641cfacd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e8e1f22d3da1e0d1d3b152e07aa6eb3f2dcf01e0e6ef6346b365569641cfacd","first_computed_at":"2026-07-05T02:46:11.532615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:46:11.532615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NLesnLVYRfqdrR9yRF8N31gxUvh+X63loKQ+Qae06eOvf3bcYoosurkbFmh+tuqZ6M/DrX+wfLEW9AskEF8SDA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:46:11.533039Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.11709","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1343020533fc7d0c0a13a7112e67ea6a24cf1305690bb9dbfe9b34e65e5984cb","sha256:f0468fb2faea8f5cacd8b1aff1d865fc8e6322d7500bad560bec514f32dfcc2a"],"state_sha256":"0106fd660e4a856c94d0ac844e1900e0d141f90a56340417e0a348009c28a5e3"}