{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WC5L2QJGCCB2CZCR577A3CCITN","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":"1d598c68ed092773522bcb68c9c4b8345fc5838a5178809ed013676c1b457c94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-10-04T10:13:12Z","title_canon_sha256":"00970d5b42547ea2ae60720e381c992213034bb41313ccbd2e72fd44233e27e5"},"schema_version":"1.0","source":{"id":"1610.00916","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00916","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00916v2","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00916","created_at":"2026-05-18T00:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"WC5L2QJGCCB2","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WC5L2QJGCCB2CZCR","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WC5L2QJG","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:b5af9dee187658f31b065e289ede2053943ae7b6427da41691875df3a26dbda7","target":"graph","created_at":"2026-05-18T00:46:39Z","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":"We present useful functions for the profiles of dark-matter (DM) haloes with a free inner slope, from cusps to cores, where the profiles of density, mass-velocity and potential are simple analytic expressions. Analytic velocity is obtained by expressing the mean density as a simple functional form, and deriving the local density by differentiation. The function involves four shape parameters, with only two or three free: a concentration parameter $c$, inner and outer asymptotic slopes $\\alpha$ and $\\bar{\\gamma}$, and a middle shape parameter $\\beta$. Analytic expressions for the potential and ","authors_text":"Aaron A. Dutton, Andrea V. Maccio, Avishai Dekel, Guy Ishai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-10-04T10:13:12Z","title":"Dark-Matter Halo Profiles of a General Cusp/Core with Analytic Velocity and Potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00916","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":"sha256:61e73f7c82cc56cf5838a77291f118520523a19db29fe88ccc786a69a541f2ec","target":"record","created_at":"2026-05-18T00:46:39Z","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":"1d598c68ed092773522bcb68c9c4b8345fc5838a5178809ed013676c1b457c94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-10-04T10:13:12Z","title_canon_sha256":"00970d5b42547ea2ae60720e381c992213034bb41313ccbd2e72fd44233e27e5"},"schema_version":"1.0","source":{"id":"1610.00916","kind":"arxiv","version":2}},"canonical_sha256":"b0babd41261083a16451effe0d88489b4d2e82d98e8ed1783c70c3cc78d4db03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0babd41261083a16451effe0d88489b4d2e82d98e8ed1783c70c3cc78d4db03","first_computed_at":"2026-05-18T00:46:39.595797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:39.595797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"okZAI0Z9g4JETNjG/uWU2TOLxn6hpncj6jfEajpw2ONS3GNOo5SpAIxYrUwGGLQzECpxDtNDcSwSa3vBhtVYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:39.596459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.00916","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61e73f7c82cc56cf5838a77291f118520523a19db29fe88ccc786a69a541f2ec","sha256:b5af9dee187658f31b065e289ede2053943ae7b6427da41691875df3a26dbda7"],"state_sha256":"c197aba9bbf8b27e4401068c3568ad0ad0c1d1f6511d3612599cc851e04a643e"}