{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:X77IQK46NIBY6CRZMBQ5325TVG","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":"9729998501c79c38b394262154b38673f3a3bef9a7a25f2d66e25694e6814b0b","cross_cats_sorted":["nlin.PS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-06-30T10:08:05Z","title_canon_sha256":"a42edd3b4550205ca0558dd0becfd30d9719508b5d034e282a4e809f8375bebe"},"schema_version":"1.0","source":{"id":"2506.23687","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.23687","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"arxiv_version","alias_value":"2506.23687v2","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.23687","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_12","alias_value":"X77IQK46NIBY","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_16","alias_value":"X77IQK46NIBY6CRZ","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_8","alias_value":"X77IQK46","created_at":"2026-07-05T12:09:44Z"}],"graph_snapshots":[{"event_id":"sha256:e62350f996ce16866a43a4d237aa027effd63034167a1eed310e030df860932e","target":"graph","created_at":"2026-07-05T12:09:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.23687/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We studied the long-term nonequilibrium dynamics of $q$-state Potts models with $q=4$, $5$, $6$, and $8$ using Monte Carlo simulations on a two-dimensional square lattice. When the contact energies between the nearest neighbors for the standard Potts models are used, cyclic changes in the $q$ homogeneous phases and $q$-state coexisting wave mode appear at low and high flipping energies, respectively, for all values of $q$. However, for a factorizable $q$ value, dynamic modes with skipping states emerge, depending on the contact energies. For $q=6$, a spiral wave mode with three domain types (o","authors_text":"Hiroshi Noguchi","cross_cats":["nlin.PS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-06-30T10:08:05Z","title":"Dynamic modes of active Potts models with factorizable numbers of states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.23687","kind":"arxiv","version":2},"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":"sha256:2745b0210aee0a876ac1572dedebb9c86de7b9c0105f0d9f6ae411a0f2611e51","target":"record","created_at":"2026-07-05T12:09:44Z","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":"9729998501c79c38b394262154b38673f3a3bef9a7a25f2d66e25694e6814b0b","cross_cats_sorted":["nlin.PS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-06-30T10:08:05Z","title_canon_sha256":"a42edd3b4550205ca0558dd0becfd30d9719508b5d034e282a4e809f8375bebe"},"schema_version":"1.0","source":{"id":"2506.23687","kind":"arxiv","version":2}},"canonical_sha256":"bffe882b9e6a038f0a396061ddebb3a9bf4cf8e3df4b066e5a7974a8dcc174d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bffe882b9e6a038f0a396061ddebb3a9bf4cf8e3df4b066e5a7974a8dcc174d8","first_computed_at":"2026-07-05T12:09:44.991653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:09:44.991653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Tf3k/m689hnW5tQYh0JQGUtx1Bup3oNjoiujsIvNrXV4UUTvVoWEKG/HZTZ5H6JZOKkV+CEHxd9qTPKCwoSBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T12:09:44.992139Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.23687","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2745b0210aee0a876ac1572dedebb9c86de7b9c0105f0d9f6ae411a0f2611e51","sha256:e62350f996ce16866a43a4d237aa027effd63034167a1eed310e030df860932e"],"state_sha256":"80aa60e5c1c31b0b0bda836224b62ad3bb38d310d2fa6940ba8d1bbe40ca5b88"}