{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:IHWYVYZ5CGXI6TYBW4VAXDLZZC","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":"469b4828bec47f374abbc9e2794901260043c402b4cea69fe63d3361766eb844","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-lat","submitted_at":"1994-10-29T20:55:04Z","title_canon_sha256":"3602cb47c596ee3592b07619702ba7e16b807ecd071202a734b75599735d9e51"},"schema_version":"1.0","source":{"id":"hep-lat/9410023","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9410023","created_at":"2026-05-18T00:11:24Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9410023v2","created_at":"2026-05-18T00:11:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9410023","created_at":"2026-05-18T00:11:24Z"},{"alias_kind":"pith_short_12","alias_value":"IHWYVYZ5CGXI","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"IHWYVYZ5CGXI6TYB","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"IHWYVYZ5","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:504f25f6f14d6a698fc3197489e44ff74bbe0c022228f6367bc4713a20d08f45","target":"graph","created_at":"2026-05-18T00:11:24Z","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":"In a recent letter, a simple method was proposed to generate solvable models that predict the critical properties of statistical systems in hyperspherical geometries. To that end, it was shown how to reduce a random walk in $D$ dimensions to an anisotropic one-dimensional random walk on concentric hyperspheres. Here, I construct such a random walk to model the adsorption-desorption transition of polymer chains growing near an attractive cylindrical boundary such as that of a cell membrane. I find that the fraction of adsorbed monomers on the boundary vanishes exponentially when the adsorption ","authors_text":"S. Boettcher","cross_cats":["cond-mat"],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1994-10-29T20:55:04Z","title":"Polymer-Chain Adsorption Transition at a Cylindrical Boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9410023","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":"sha256:888ae72e5e65452a746208263102660f9f2083b49f7c1b4b2157354e30718c2f","target":"record","created_at":"2026-05-18T00:11:24Z","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":"469b4828bec47f374abbc9e2794901260043c402b4cea69fe63d3361766eb844","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-lat","submitted_at":"1994-10-29T20:55:04Z","title_canon_sha256":"3602cb47c596ee3592b07619702ba7e16b807ecd071202a734b75599735d9e51"},"schema_version":"1.0","source":{"id":"hep-lat/9410023","kind":"arxiv","version":2}},"canonical_sha256":"41ed8ae33d11ae8f4f01b72a0b8d79c899b7e376bc52524678db4a3a7a37e095","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41ed8ae33d11ae8f4f01b72a0b8d79c899b7e376bc52524678db4a3a7a37e095","first_computed_at":"2026-05-18T00:11:24.258549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:24.258549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FwCvjUmhRNffIPEzvjLhe/uUYLGmRA1bXxHT09Tzfl0IaaZTQfVc4nOmPCKxlSwjKKIK+7BGDxx/Zl1w0VcmCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:24.258981Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9410023","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:888ae72e5e65452a746208263102660f9f2083b49f7c1b4b2157354e30718c2f","sha256:504f25f6f14d6a698fc3197489e44ff74bbe0c022228f6367bc4713a20d08f45"],"state_sha256":"a856d6771dcff03e1df728421b5ac57d4503112476455b6c0255c9a076f903a5"}