{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:5ZO65A5XK44KCFBNQN27S4PJCI","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":"bacea15940682bddfa742f2a754994b2c4e7fe0aebf0ddd6528b441d17a45cbe","cross_cats_sorted":["cond-mat","hep-lat","physics.chem-ph"],"license":"","primary_cat":"chem-ph","submitted_at":"1996-09-09T15:46:43Z","title_canon_sha256":"b6aecc3477d4d571cb058844bdd1aa0b926021ebcf5ec0152cca27931b74e11b"},"schema_version":"1.0","source":{"id":"chem-ph/9609001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"chem-ph/9609001","created_at":"2026-05-18T01:09:21Z"},{"alias_kind":"arxiv_version","alias_value":"chem-ph/9609001v1","created_at":"2026-05-18T01:09:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.chem-ph/9609001","created_at":"2026-05-18T01:09:21Z"},{"alias_kind":"pith_short_12","alias_value":"5ZO65A5XK44K","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"5ZO65A5XK44KCFBN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"5ZO65A5X","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:c03eda3c885b42402a2a5b6f7fec08588bf3a3caea69fddab2eba7a85277b598","target":"graph","created_at":"2026-05-18T01:09:21Z","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":"A variational approach, based on a discrete representation of the chain, is used to calculate free energy and conformational properties in polyelectrolytes. The true bond and Coulomb potentials are approximated by a trial isotropic harmonic energy containing force constants between {\\em all}monomer-pairs as variational parameters. By a judicious choice of representation and the use of incremental matrix inversion, an efficient and fast-convergent iterative algorithm is constructed, that optimizes the free energy. The computational demand scales as $N^3$ rather than $N^4$ as expected in a more ","authors_text":"B. J\\\"onsson (Dept. of Chemistry, B. S\\\"oderberg (Dept. of Theoretical Physics, C. Peterson, Lund U.)","cross_cats":["cond-mat","hep-lat","physics.chem-ph"],"headline":"","license":"","primary_cat":"chem-ph","submitted_at":"1996-09-09T15:46:43Z","title":"A Variational Approach to the Structure and Thermodynamics of Linear Polyelectrolytes with Coulomb and Screened Coulomb Interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chem-ph/9609001","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":"sha256:9e5b9d6b0162d09f223e23b4e617a882da5585ab36d7f43c4d3c21834c3efe8c","target":"record","created_at":"2026-05-18T01:09:21Z","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":"bacea15940682bddfa742f2a754994b2c4e7fe0aebf0ddd6528b441d17a45cbe","cross_cats_sorted":["cond-mat","hep-lat","physics.chem-ph"],"license":"","primary_cat":"chem-ph","submitted_at":"1996-09-09T15:46:43Z","title_canon_sha256":"b6aecc3477d4d571cb058844bdd1aa0b926021ebcf5ec0152cca27931b74e11b"},"schema_version":"1.0","source":{"id":"chem-ph/9609001","kind":"arxiv","version":1}},"canonical_sha256":"ee5dee83b75738a1142d8375f971e9123efdaf8327ecfbeb51dd70506a68bb43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee5dee83b75738a1142d8375f971e9123efdaf8327ecfbeb51dd70506a68bb43","first_computed_at":"2026-05-18T01:09:21.145985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:21.145985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9tmAuet9+6a7m9eSX5gFvCAyqDu6CiHoZ1HgHlfip2FCLAV4eliiJjMe/HK3vpMHu5xD8mITxAiNQUVSLZswBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:21.146610Z","signed_message":"canonical_sha256_bytes"},"source_id":"chem-ph/9609001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e5b9d6b0162d09f223e23b4e617a882da5585ab36d7f43c4d3c21834c3efe8c","sha256:c03eda3c885b42402a2a5b6f7fec08588bf3a3caea69fddab2eba7a85277b598"],"state_sha256":"54051f51d58b7d195435b65c4fa24999376ddbf5cbd84850b2a35faf72e8a762"}