{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HR2FVPRPAYSFUVS3YXGRKSYXW5","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":"efd142816dd5131882c954cb9a5529892b8ba4c511c0daf9e14ec2bd1199fe50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-06-24T20:00:00Z","title_canon_sha256":"2d637b8b2a52849b78bbef281b6c8eb59a15e17c09d2d590ee7d283f64071d00"},"schema_version":"1.0","source":{"id":"1106.5050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5050","created_at":"2026-05-18T02:01:30Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5050v1","created_at":"2026-05-18T02:01:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5050","created_at":"2026-05-18T02:01:30Z"},{"alias_kind":"pith_short_12","alias_value":"HR2FVPRPAYSF","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HR2FVPRPAYSFUVS3","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HR2FVPRP","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:4450c7acc40524f38b15ad8d013c1b2966eb8632569f846939754ebe4b5ef477","target":"graph","created_at":"2026-05-18T02:01:30Z","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 new method is presented to describe the evolution of the orbital-parameter distributions for an initially universal binary population in star clusters by means of the currently largest existing library of N-body models. It is demonstrated that a stellar-dynamical operator exists, which uniquely transforms an initial orbital parameter distribution function for binaries into a new distribution depending on the initial cluster mass and half-mass radius, after some time of dynamical evolution. For the initial distribution the distribution functions derived by Kroupa (1995a,b) are used, which are","authors_text":"Michael Marks, Pavel Kroupa, Seungkyung Oh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-06-24T20:00:00Z","title":"An analytical description of the evolution of binary orbital-parameter distributions in N-body computations of star clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5050","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:d12b495603083f04db96ced58e0326b73a998200fe2e5c2c4359091092148fa5","target":"record","created_at":"2026-05-18T02:01:30Z","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":"efd142816dd5131882c954cb9a5529892b8ba4c511c0daf9e14ec2bd1199fe50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-06-24T20:00:00Z","title_canon_sha256":"2d637b8b2a52849b78bbef281b6c8eb59a15e17c09d2d590ee7d283f64071d00"},"schema_version":"1.0","source":{"id":"1106.5050","kind":"arxiv","version":1}},"canonical_sha256":"3c745abe2f06245a565bc5cd154b17b74988bf46dd795524457353b764978fa1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c745abe2f06245a565bc5cd154b17b74988bf46dd795524457353b764978fa1","first_computed_at":"2026-05-18T02:01:30.924430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:30.924430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5INr03x7uI2KJOCX/IKRW/WDaNyaRK/lmqbZDKVzI0SmsAPMNIIDfDYUaB0rni6jrfDVUDbpwjjqmutqO0u+BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:30.925291Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.5050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d12b495603083f04db96ced58e0326b73a998200fe2e5c2c4359091092148fa5","sha256:4450c7acc40524f38b15ad8d013c1b2966eb8632569f846939754ebe4b5ef477"],"state_sha256":"c3f9dfeee030bb3f49c40928908634b5d5db7a527106d0352ae12f43cb349426"}