{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:IHWYVYZ5CGXI6TYBW4VAXDLZZC","short_pith_number":"pith:IHWYVYZ5","canonical_record":{"source":{"id":"hep-lat/9410023","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-10-29T20:55:04Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"3602cb47c596ee3592b07619702ba7e16b807ecd071202a734b75599735d9e51","abstract_canon_sha256":"469b4828bec47f374abbc9e2794901260043c402b4cea69fe63d3361766eb844"},"schema_version":"1.0"},"canonical_sha256":"41ed8ae33d11ae8f4f01b72a0b8d79c899b7e376bc52524678db4a3a7a37e095","source":{"kind":"arxiv","id":"hep-lat/9410023","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:IHWYVYZ5CGXI6TYBW4VAXDLZZC","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9410023","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-10-29T20:55:04Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"3602cb47c596ee3592b07619702ba7e16b807ecd071202a734b75599735d9e51","abstract_canon_sha256":"469b4828bec47f374abbc9e2794901260043c402b4cea69fe63d3361766eb844"},"schema_version":"1.0"},"canonical_sha256":"41ed8ae33d11ae8f4f01b72a0b8d79c899b7e376bc52524678db4a3a7a37e095","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:24.258981Z","signature_b64":"FwCvjUmhRNffIPEzvjLhe/uUYLGmRA1bXxHT09Tzfl0IaaZTQfVc4nOmPCKxlSwjKKIK+7BGDxx/Zl1w0VcmCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41ed8ae33d11ae8f4f01b72a0b8d79c899b7e376bc52524678db4a3a7a37e095","last_reissued_at":"2026-05-18T00:11:24.258549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:24.258549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9410023","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:11:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"10n95wHCln1cxCbIxaNzrtay9ARHbKHSxQA/rm5IReL3aES8L5pYlSJj+C9fzyLDUZOBKyv1rp457ZKLgD9hCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:06:38.603053Z"},"content_sha256":"888ae72e5e65452a746208263102660f9f2083b49f7c1b4b2157354e30718c2f","schema_version":"1.0","event_id":"sha256:888ae72e5e65452a746208263102660f9f2083b49f7c1b4b2157354e30718c2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:IHWYVYZ5CGXI6TYBW4VAXDLZZC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polymer-Chain Adsorption Transition at a Cylindrical Boundary","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-lat","authors_text":"S. Boettcher","submitted_at":"1994-10-29T20:55:04Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9410023","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:11:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qKxFPFLJmO+E7ja7xWkUOL1M+TNkgYJiuHMqyI6qep9xSydmaISuKN30n5/lBwD16szSiJ/CRwUT2gw5xc2IDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:06:38.603426Z"},"content_sha256":"504f25f6f14d6a698fc3197489e44ff74bbe0c022228f6367bc4713a20d08f45","schema_version":"1.0","event_id":"sha256:504f25f6f14d6a698fc3197489e44ff74bbe0c022228f6367bc4713a20d08f45"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IHWYVYZ5CGXI6TYBW4VAXDLZZC/bundle.json","state_url":"https://pith.science/pith/IHWYVYZ5CGXI6TYBW4VAXDLZZC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IHWYVYZ5CGXI6TYBW4VAXDLZZC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-23T19:06:38Z","links":{"resolver":"https://pith.science/pith/IHWYVYZ5CGXI6TYBW4VAXDLZZC","bundle":"https://pith.science/pith/IHWYVYZ5CGXI6TYBW4VAXDLZZC/bundle.json","state":"https://pith.science/pith/IHWYVYZ5CGXI6TYBW4VAXDLZZC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IHWYVYZ5CGXI6TYBW4VAXDLZZC/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s7O6LRG+8ge24TfEO/xslkqhsysh4HXzyb89Xn60/DXPZLihRGxSByYNt6i5s1XeA0gE2bLKEyPLmDIW4W77Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T19:06:38.605367Z","bundle_sha256":"36b08b7afabb16ba4fdfb8cad0e1ce7449796b136eae194892b5d9eae1e81229"}}