{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5BWG5VW5OWNIJDNL4SHLC7V43I","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":"c41025fe034d84868d10c111dcce890b9382bdfa3d72ce23be5bcf378165b357","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-04-14T11:47:04Z","title_canon_sha256":"449e589f0d15ead19c142bf5a33d2dc2c018358551ea83d6dcc8d0d5852e4b0c"},"schema_version":"1.0","source":{"id":"1504.03501","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03501","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03501v1","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03501","created_at":"2026-05-18T01:34:50Z"},{"alias_kind":"pith_short_12","alias_value":"5BWG5VW5OWNI","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5BWG5VW5OWNIJDNL","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5BWG5VW5","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:be87ee0dcfb825f7080e1e718acbae68d395b89ab4df6592607194cac3555238","target":"graph","created_at":"2026-05-18T01:34:50Z","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 study the ground-state Wigner bilayers of pointlike particles with Yukawa pairwise interactions, confined to the surface of two parallel hard walls at dimensionless distance $\\eta$. The model involves as limiting cases the unscreened Coulomb potential and hard spheres. The phase diagram of Yukawa particles, studied numerically by Messina and L\\\"owen [Phys. Rev. Lett. 91 (2003) 146101], exhibits five different staggered phases as $\\eta$ varies from 0 to intermediate values. We present a lattice summation method using the generalized Misra functions which permits us to calculate the energy pe","authors_text":"Igor Travenec, Ladislav Samaj","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-04-14T11:47:04Z","title":"Phase diagram and critical properties of Yukawa bilayers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03501","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:fa8f7076b3267855bb599f7c6224dc26c396d2fdbb15aca002d21b7dd166d0de","target":"record","created_at":"2026-05-18T01:34:50Z","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":"c41025fe034d84868d10c111dcce890b9382bdfa3d72ce23be5bcf378165b357","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-04-14T11:47:04Z","title_canon_sha256":"449e589f0d15ead19c142bf5a33d2dc2c018358551ea83d6dcc8d0d5852e4b0c"},"schema_version":"1.0","source":{"id":"1504.03501","kind":"arxiv","version":1}},"canonical_sha256":"e86c6ed6dd759a848dabe48eb17ebcda14350287f7463503c9aaf377a1f5555d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e86c6ed6dd759a848dabe48eb17ebcda14350287f7463503c9aaf377a1f5555d","first_computed_at":"2026-05-18T01:34:50.073089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:50.073089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bX0KmhCW7MCGqLTOckbFp/4NibIA1XUzoJ8p3o+BOG8FlTYdCsHxdVJlpVo680fCqKZUorYM1Ns8PY2AarkcBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:50.073726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.03501","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa8f7076b3267855bb599f7c6224dc26c396d2fdbb15aca002d21b7dd166d0de","sha256:be87ee0dcfb825f7080e1e718acbae68d395b89ab4df6592607194cac3555238"],"state_sha256":"7c4d53bfadb09e4520953b898d6e96d72356b26e33f789b9a86e5ae0c14653b5"}