{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WDWC6BESZ2QEZML5NKQETWO26E","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":"748fd597720713bad0c0063fde75c30651bbf4ba27b685766d3641efffad2944","cross_cats_sorted":["astro-ph.CO","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2017-07-18T18:07:03Z","title_canon_sha256":"6689012a903c115ac0d93cc9702f352bd4ab9f66324c0c3ce8196ce33a7ac487"},"schema_version":"1.0","source":{"id":"1707.05799","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05799","created_at":"2026-05-18T00:17:43Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05799v4","created_at":"2026-05-18T00:17:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05799","created_at":"2026-05-18T00:17:43Z"},{"alias_kind":"pith_short_12","alias_value":"WDWC6BESZ2QE","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WDWC6BESZ2QEZML5","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WDWC6BES","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:224bcb37752be5707df71047bc280a911a4d074f1226daae650589fa420b25d9","target":"graph","created_at":"2026-05-18T00:17:43Z","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":"A large number of astronomical phenomena exhibit remarkably similar scaling relations. The most well-known of these is the mass distribution $\\mathrm{d} N/\\mathrm{d} M\\propto M^{-2}$ which (to first order) describes stars, protostellar cores, clumps, giant molecular clouds, star clusters and even dark matter halos. In this paper we propose that this ubiquity is not a coincidence and that it is the generic result of scale-free structure formation where the different scales are uncorrelated. We show that all such systems produce a mass function proportional to $M^{-2}$ and a column density distr","authors_text":"David Guszejnov, Michael Y. Grudi\\'c, Philip F. Hopkins","cross_cats":["astro-ph.CO","astro-ph.SR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2017-07-18T18:07:03Z","title":"Universal Scaling Relations in Scale-Free Structure Formation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05799","kind":"arxiv","version":4},"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:d4779a5f5802832ab229a20380e022dc0fe7fd9ab78734ca23d967d7f4f1b361","target":"record","created_at":"2026-05-18T00:17:43Z","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":"748fd597720713bad0c0063fde75c30651bbf4ba27b685766d3641efffad2944","cross_cats_sorted":["astro-ph.CO","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2017-07-18T18:07:03Z","title_canon_sha256":"6689012a903c115ac0d93cc9702f352bd4ab9f66324c0c3ce8196ce33a7ac487"},"schema_version":"1.0","source":{"id":"1707.05799","kind":"arxiv","version":4}},"canonical_sha256":"b0ec2f0492cea04cb17d6aa049d9daf1131e90f8a96ecdeddb07d499eaf846c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0ec2f0492cea04cb17d6aa049d9daf1131e90f8a96ecdeddb07d499eaf846c0","first_computed_at":"2026-05-18T00:17:43.273674Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:43.273674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WLia2XVQSUzmrTDGG4d8bL5a3HM1UAgpVzcSdJ2zSnSLhycjGmwikOzQ+Rq7mWxiZPFodzmb2dBDLnk1yAsbDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:43.274406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05799","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4779a5f5802832ab229a20380e022dc0fe7fd9ab78734ca23d967d7f4f1b361","sha256:224bcb37752be5707df71047bc280a911a4d074f1226daae650589fa420b25d9"],"state_sha256":"c79d583e79abc31295d0164ef02ae1a064282420a3a056770e37a2ce3d811a05"}