{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4652IB75IFA3KI43J5T6FKCCBO","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":"7f8b2041a8ca12b7c7763ea67ac4f142ece5afef983c1b1b61b73b41a4393936","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2018-07-27T02:15:54Z","title_canon_sha256":"b863f94820e7590d3c631335a78c624092fd01bb285755ac188644b03975fd11"},"schema_version":"1.0","source":{"id":"1807.10416","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.10416","created_at":"2026-05-18T00:09:40Z"},{"alias_kind":"arxiv_version","alias_value":"1807.10416v1","created_at":"2026-05-18T00:09:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.10416","created_at":"2026-05-18T00:09:40Z"},{"alias_kind":"pith_short_12","alias_value":"4652IB75IFA3","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4652IB75IFA3KI43","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4652IB75","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:ea5c56c21ebf4b9d4ce02107fa974cec41bf0cbff9a28f9b234cf4ef7e5d5b3c","target":"graph","created_at":"2026-05-18T00:09:40Z","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":"Recent advances in single macromolecule experiments have sparked interest in the ensemble dependence of force-extension relations. The thermodynamic limit may not be attainable for such systems, that leads to inequivalence of the fixed-force and the fixed-extension ensemble. We consider an ideal Gaussian chain described by the Edwards Hamiltonian with one end tethered to a rigid planar substrate. We analytically calculate the force-extension relation in the two ensembles and we show their inequivalence which is caused by the confinement of the polymer to half space. The inequivalence is quite ","authors_text":"Panayotis Benetatos, Sandipan Dutta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2018-07-27T02:15:54Z","title":"Inequivalence of fixed-force and fixed-extension statistical ensembles for a flexible polymer tethered to a planar substrate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.10416","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:c6afbfaccc13506c37ccd5c63cde090870a1e5aaa934de83094426fe9b4bc164","target":"record","created_at":"2026-05-18T00:09:40Z","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":"7f8b2041a8ca12b7c7763ea67ac4f142ece5afef983c1b1b61b73b41a4393936","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2018-07-27T02:15:54Z","title_canon_sha256":"b863f94820e7590d3c631335a78c624092fd01bb285755ac188644b03975fd11"},"schema_version":"1.0","source":{"id":"1807.10416","kind":"arxiv","version":1}},"canonical_sha256":"e7bba407fd4141b5239b4f67e2a8420b96550f8b2bcc1f8e14bb6edf4a7e60ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7bba407fd4141b5239b4f67e2a8420b96550f8b2bcc1f8e14bb6edf4a7e60ea","first_computed_at":"2026-05-18T00:09:40.698955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:40.698955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JdLtAyo5wxL0eQgTrp/rbqLzknSgqqQDKgLCGsUqlZ5yPbxF29t1n4Y5TamHfVCwvHYPtq9pmpxFWGqw3hfEAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:40.699532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.10416","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6afbfaccc13506c37ccd5c63cde090870a1e5aaa934de83094426fe9b4bc164","sha256:ea5c56c21ebf4b9d4ce02107fa974cec41bf0cbff9a28f9b234cf4ef7e5d5b3c"],"state_sha256":"85e83c2cac4f250cd5af99d1f1f05084f72295686aab2f28501606ee90c865d3"}