{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DMN54D3ELMOELXH6O4SLHBD6NJ","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":"9bcf2a466cef46adc15912175c33361edfb0096f5625699d0ec18ca077468beb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-10-05T13:51:31Z","title_canon_sha256":"c0d1ee739bba4712a3fac165611049929d3ebc2a454dc14167a6ffc9e4a51dfb"},"schema_version":"1.0","source":{"id":"1010.0885","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0885","created_at":"2026-05-18T04:39:50Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0885v1","created_at":"2026-05-18T04:39:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0885","created_at":"2026-05-18T04:39:50Z"},{"alias_kind":"pith_short_12","alias_value":"DMN54D3ELMOE","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DMN54D3ELMOELXH6","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DMN54D3E","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:9f502c4e58ceddb5570f80b4e85ce4e5975147f2776768aa9da5a876468aff66","target":"graph","created_at":"2026-05-18T04:39:50Z","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 report calculations of the density of maximally random jamming (aka random close packing) of one-component and binary hard disc fluids. The theoretical structure used provides a common framework for description of the hard disc liquid to hexatic, the liquid to hexagonal crystal and the liquid-to-maximally random jammed state transitions. Our analysis is based on locating a particular bifurcation of the solutions of the integral equation for the inhomogeneous single particle density at the transition between different spatial structures. The bifurcation of solutions we study is initiated fro","authors_text":"Stuart A. Rice, Xinliang Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-10-05T13:51:31Z","title":"Maximally Random Jamming of Two-Dimensional One-Component and Binary Hard Disc Fluids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0885","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":"sha256:0cea935bcbaa9a04d3bfa49641533ae79d27280546684d2f819f47266f102641","target":"record","created_at":"2026-05-18T04:39:50Z","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":"9bcf2a466cef46adc15912175c33361edfb0096f5625699d0ec18ca077468beb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-10-05T13:51:31Z","title_canon_sha256":"c0d1ee739bba4712a3fac165611049929d3ebc2a454dc14167a6ffc9e4a51dfb"},"schema_version":"1.0","source":{"id":"1010.0885","kind":"arxiv","version":1}},"canonical_sha256":"1b1bde0f645b1c45dcfe7724b3847e6a56b64b6cf25db72478731b5edb4f7a3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b1bde0f645b1c45dcfe7724b3847e6a56b64b6cf25db72478731b5edb4f7a3e","first_computed_at":"2026-05-18T04:39:50.707930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:50.707930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A338m+Fy2sOD4pRpLQLh3KZtnU6bLESj8tjZVrfXGo52vs/clW8qYBg6qpawDBl7NfBrfhYaYkJR/4BiqltNDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:50.708471Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0885","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cea935bcbaa9a04d3bfa49641533ae79d27280546684d2f819f47266f102641","sha256:9f502c4e58ceddb5570f80b4e85ce4e5975147f2776768aa9da5a876468aff66"],"state_sha256":"e8c450f12217663ddc8037cf43af2bb71780eea235bf4989bfcc5bbf36ee10b5"}