{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:54ZDF3TQXK7DKERA4UQ6YTWVS5","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":"b95c75804bb8d7ebfed588f4f146007bcd27716743805d58aa19051bf066f60a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-03T04:14:14Z","title_canon_sha256":"96064f10d4809257bbbd239e847244fd53ba1ad1b62e76260f321699a2b95b07"},"schema_version":"1.0","source":{"id":"1809.00447","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.00447","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"arxiv_version","alias_value":"1809.00447v1","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.00447","created_at":"2026-05-17T23:57:31Z"},{"alias_kind":"pith_short_12","alias_value":"54ZDF3TQXK7D","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"54ZDF3TQXK7DKERA","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"54ZDF3TQ","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:e98a6924eb9332d9056c3b7ec5784a693d605e5d35b203cdc63639859de1178e","target":"graph","created_at":"2026-05-17T23:57:31Z","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":"The experiments conducted by various scientific groups indicate that, in dense two-dimensional systems of elongated particles subjected to vibration, the pattern formation is possible. Computer simulations have evidenced that the random walk of rectangular particles in a discrete two-dimensional space can lead to their self-organisation. We propose a technique for calculating the entropy characteristics of a two-dimensional system in a discrete two-dimensional space consisting of rectangular particles of two mutually perpendicular orientations, and a change in these characteristics for a rando","authors_text":"Andrei V. Eserkepov, Mikhail M. Shulga, Mikhail V. Ulyanov, Yuri G. Smetanin, Yuri Yu. Tarasevich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-03T04:14:14Z","title":"Characterisation of diffusion-driven self-organisation of rodlike particles by means of entropy of generalised two-dimensional words"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00447","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":"sha256:366ecd62c47f36cb656477bccded19d6b0ce1e154b0b0ca4973e666cab000a87","target":"record","created_at":"2026-05-17T23:57:31Z","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":"b95c75804bb8d7ebfed588f4f146007bcd27716743805d58aa19051bf066f60a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-03T04:14:14Z","title_canon_sha256":"96064f10d4809257bbbd239e847244fd53ba1ad1b62e76260f321699a2b95b07"},"schema_version":"1.0","source":{"id":"1809.00447","kind":"arxiv","version":1}},"canonical_sha256":"ef3232ee70babe351220e521ec4ed5977e25a7c30000de3dcc75291b55f90d7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef3232ee70babe351220e521ec4ed5977e25a7c30000de3dcc75291b55f90d7e","first_computed_at":"2026-05-17T23:57:31.439031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:31.439031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jJ8YY+8JE8qe9m5ffhmceJ9R9ZDQO6qzlVOwPEhp92rGW22BFEIwE9wcPNo66hHRVBbGc3oEnwxpd0LQZrEeBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:31.439626Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.00447","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:366ecd62c47f36cb656477bccded19d6b0ce1e154b0b0ca4973e666cab000a87","sha256:e98a6924eb9332d9056c3b7ec5784a693d605e5d35b203cdc63639859de1178e"],"state_sha256":"1de30ba4386ca5f21c0e192a03d02ae7ecc895d7695626e422139536db3fe35b"}