{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DSX5JTCXR3PPTA2SLICON4SX3C","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":"bfba89711a16a796a5cd742b31ae2983132a1d4cbe79f365a8550adaba9a7a42","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-03-18T14:57:48Z","title_canon_sha256":"e5b09841e628179c9d8a7c4d6150b2be2ada9d9e32d02e620142ea252690274c"},"schema_version":"1.0","source":{"id":"1903.07491","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07491","created_at":"2026-05-17T23:50:18Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07491v1","created_at":"2026-05-17T23:50:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07491","created_at":"2026-05-17T23:50:18Z"},{"alias_kind":"pith_short_12","alias_value":"DSX5JTCXR3PP","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"DSX5JTCXR3PPTA2S","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"DSX5JTCX","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:37a8ca4227ae950f333464760c2991806140ae3ee4c47a6cabbf15d8b03bfaae","target":"graph","created_at":"2026-05-17T23:50:18Z","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 ground states of the general three-state lattice-gas (equivalently, $S=1$ Ising) model with nearest-neighbor interactions on a square lattice are explored in the full, five-dimensional parameter space of three interaction constants and two generalized chemical potentials or fields. The resulting, complete catalog of fifteen topologically different ground-state diagrams (zero-temperature phase diagrams) is discussed in both lattice-gas and Ising-spin language. The results extend those of a recent study in a reduced parameter space [V. F. Fefelov, et al., Phys. Chem. Chem. Phys., 2018, 20, 1","authors_text":"Daniel Silva, Per Arne Rikvold","cross_cats":["physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-03-18T14:57:48Z","title":"Complete catalog of ground-state diagrams for the general three-state lattice-gas model with nearest-neighbor interactions on a square lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07491","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:dc14a18d1932020176d3db17b3ec66577c6c13a002e1ab379c5ab4428437c82d","target":"record","created_at":"2026-05-17T23:50:18Z","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":"bfba89711a16a796a5cd742b31ae2983132a1d4cbe79f365a8550adaba9a7a42","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-03-18T14:57:48Z","title_canon_sha256":"e5b09841e628179c9d8a7c4d6150b2be2ada9d9e32d02e620142ea252690274c"},"schema_version":"1.0","source":{"id":"1903.07491","kind":"arxiv","version":1}},"canonical_sha256":"1cafd4cc578edef983525a04e6f257d8bb191bcafdf72a0090262b670a0cc704","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1cafd4cc578edef983525a04e6f257d8bb191bcafdf72a0090262b670a0cc704","first_computed_at":"2026-05-17T23:50:18.781394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:18.781394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rdAzdENFms2urbeafaBpdCd0hiOfub8d1WF6StpcTCyNG3dnXHAsS0I8JUT5CbYw3giWZHM0/WEAGvGzNzlmAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:18.781944Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.07491","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc14a18d1932020176d3db17b3ec66577c6c13a002e1ab379c5ab4428437c82d","sha256:37a8ca4227ae950f333464760c2991806140ae3ee4c47a6cabbf15d8b03bfaae"],"state_sha256":"b572e0fb8aaa9acf68b51b3916ef83c77afb8ca3c71387c229d9b330e90ac539"}