{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GH57R3KRZRDQ3HG4FI6G7LP4KW","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":"cd60ae1f05faea301238608bb46412c5ef84e13dae17d1512c505ee1f3d7cd79","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-03T13:03:58Z","title_canon_sha256":"5145d061222ec6674c4fa72a1f15be475edbb14a41c0bd07db4c01885119b4c5"},"schema_version":"1.0","source":{"id":"1207.0659","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0659","created_at":"2026-05-18T03:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0659v1","created_at":"2026-05-18T03:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0659","created_at":"2026-05-18T03:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"GH57R3KRZRDQ","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GH57R3KRZRDQ3HG4","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GH57R3KR","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:ca498e6801c613772e524fdf754266203279c4dcb57974566df90029991b73bb","target":"graph","created_at":"2026-05-18T03:51:57Z","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 statistical thermodynamics of straight rigid rods of length $k$ on triangular lattices was developed on a generalization in the spirit of the lattice-gas model and the classical Guggenheim-DiMarzio approximation. In this scheme, the Helmholtz free energy and its derivatives were written in terms of the order parameter $\\delta$, which characterizes the nematic phase occurring in the system at intermediate densities. Then, using the principle of minimum free energy with $\\delta$ as a parameter, the main adsorption properties were calculated. Comparisons with Monte Carlo simulations and exper","authors_text":"A. J. Ramirez-Pastor, D. A. Matoz-Fernandez, D. H. Linares","cross_cats":["physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-03T13:03:58Z","title":"Statistical thermodynamics of long straight rigid rods on triangular lattices: nematic order and adsorption thermodynamic functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0659","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":"sha256:3b9d252b8a0f2f1c2abafa1004c0fba83e210080ecde79a11f5208b1fa8cb7ca","target":"record","created_at":"2026-05-18T03:51:57Z","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":"cd60ae1f05faea301238608bb46412c5ef84e13dae17d1512c505ee1f3d7cd79","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-07-03T13:03:58Z","title_canon_sha256":"5145d061222ec6674c4fa72a1f15be475edbb14a41c0bd07db4c01885119b4c5"},"schema_version":"1.0","source":{"id":"1207.0659","kind":"arxiv","version":1}},"canonical_sha256":"31fbf8ed51cc470d9cdc2a3c6fadfc559474b3e153f1bb49ce00d461eb4b5b4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31fbf8ed51cc470d9cdc2a3c6fadfc559474b3e153f1bb49ce00d461eb4b5b4e","first_computed_at":"2026-05-18T03:51:57.525396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:57.525396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ERHpZvME9utZpkxD0+A2PR8rmd2PcZVYTstroNSLBWVT5Hl3cirDmTBV11yzNLohqd++EMnO7KtlO9jjzFRoDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:57.526061Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.0659","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b9d252b8a0f2f1c2abafa1004c0fba83e210080ecde79a11f5208b1fa8cb7ca","sha256:ca498e6801c613772e524fdf754266203279c4dcb57974566df90029991b73bb"],"state_sha256":"a7c1377a8515d4334c9407b5c6368236ae00118de430c07684176e08844ce0ef"}