{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:PWJI34VDFNZUAN5FCIUKIJOPMF","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":"3e74e92ba6a97de53d53ec16c246fdbfd96ed30ba825cae44cb00352a8e6b783","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-07-14T13:57:46Z","title_canon_sha256":"d105be3e34162781ce0a73a48e210ec7d9b9c5900c08da20aebaff18150d3a46"},"schema_version":"1.0","source":{"id":"1007.2333","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.2333","created_at":"2026-05-18T04:19:54Z"},{"alias_kind":"arxiv_version","alias_value":"1007.2333v1","created_at":"2026-05-18T04:19:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.2333","created_at":"2026-05-18T04:19:54Z"},{"alias_kind":"pith_short_12","alias_value":"PWJI34VDFNZU","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PWJI34VDFNZUAN5F","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PWJI34VD","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:c869700bafc0a2b108684137facd300a7d5909df932ef7e68edcc0647746ee27","target":"graph","created_at":"2026-05-18T04:19:54Z","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":"Most globular clusters have half-mass radii of a few pc with no apparent correlation with their masses. This is different from elliptical galaxies, for which the Faber-Jackson relation suggests a strong positive correlation between mass and radius. Objects that are somewhat in between globular clusters and low-mass galaxies, such as ultra-compact dwarf galaxies, have a mass-radius relation consistent with the extension of the relation for bright ellipticals. Here we show that at an age of 10 Gyr a break in the mass-radius relation at ~10^6 Msun is established because objects below this mass, i","authors_text":"2, (2) Edinburgh, 3), (3) ESO, (4) Bonn, 5), (5) Brisbane, (6) Utrecht), Douglas Heggie (2), Henny Lamers (6) ((1) Cambridge, Holger Baumgardt (4, Mark Gieles (1","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-07-14T13:57:46Z","title":"On the mass-radius relation of hot stellar systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.2333","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:d810932642316aaab9de66dfe9511a1bc48e5ca47f0af9576aae5b5a4683d60e","target":"record","created_at":"2026-05-18T04:19:54Z","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":"3e74e92ba6a97de53d53ec16c246fdbfd96ed30ba825cae44cb00352a8e6b783","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2010-07-14T13:57:46Z","title_canon_sha256":"d105be3e34162781ce0a73a48e210ec7d9b9c5900c08da20aebaff18150d3a46"},"schema_version":"1.0","source":{"id":"1007.2333","kind":"arxiv","version":1}},"canonical_sha256":"7d928df2a32b734037a51228a425cf616f48f8c1504529b0bc14df53a031cdbb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d928df2a32b734037a51228a425cf616f48f8c1504529b0bc14df53a031cdbb","first_computed_at":"2026-05-18T04:19:54.794081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:54.794081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N2eYRnzGYAYJ5fAo35utsl8dN2G5l6/GwkWykFJnOQmlksibQ2Pm4tWTWYKTWFWrBC5eXh0y74KIiNV8Fd9yAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:54.794704Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.2333","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d810932642316aaab9de66dfe9511a1bc48e5ca47f0af9576aae5b5a4683d60e","sha256:c869700bafc0a2b108684137facd300a7d5909df932ef7e68edcc0647746ee27"],"state_sha256":"ab541c3bb754f4695d6d0dd2b1ea1a033c880ec83858ffe2d743c18c9e85f4d5"}