{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:K2PGV3CISULN4EVXSYGBWWXV3U","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":"2d3c220aec3c51198550a9114a4ca1cd0e3f183030b75c7bfcc7bb4f5e9bcbb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-12-18T10:39:24Z","title_canon_sha256":"ac8476affe8be1ce91aa8f894e1447b051b07da761229ba8dc50ad36eece0381"},"schema_version":"1.0","source":{"id":"1512.05892","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05892","created_at":"2026-05-18T00:50:40Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05892v2","created_at":"2026-05-18T00:50:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05892","created_at":"2026-05-18T00:50:40Z"},{"alias_kind":"pith_short_12","alias_value":"K2PGV3CISULN","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"K2PGV3CISULN4EVX","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"K2PGV3CI","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:982d60fcd4fe30022304f863e7593c461d0c44294b9b5be379698eb441229d4e","target":"graph","created_at":"2026-05-18T00:50:40Z","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 exact $n\\to\\infty$ results for critical Casimir forces of the $O(n)$ $\\phi^4$ model on a three-dimensional strip bounded by two planar free surfaces at a distance $L$ are surveyed. This model has long-range order below the bulk critical temperature $T_c$ if $L=\\infty$, but remains disordered for all $T>0$ when $L<\\infty$. A proper analysis of its scaling behavior near $T_c$ is quite challenging: Besides with bulk, boundary, and finite-size critical behaviors, one must deal with a nontrivial dimensional crossover. The model can be solved exactly in the limit $n\\to\\infty$ in terms of the ","authors_text":"H. W. Diehl, Sergei B. Rutkevich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-12-18T10:39:24Z","title":"The three-dimensional $O(n)$ $\\phi^4$ model on a strip with free boundary conditions: exact results for a nontrivial dimensional crossover in the limit $n\\to\\infty$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05892","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:cc62ad5d6bb997710af6a01476f5fdbd6bd6de888551d14d3f68b0c359885efa","target":"record","created_at":"2026-05-18T00:50:40Z","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":"2d3c220aec3c51198550a9114a4ca1cd0e3f183030b75c7bfcc7bb4f5e9bcbb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-12-18T10:39:24Z","title_canon_sha256":"ac8476affe8be1ce91aa8f894e1447b051b07da761229ba8dc50ad36eece0381"},"schema_version":"1.0","source":{"id":"1512.05892","kind":"arxiv","version":2}},"canonical_sha256":"569e6aec489516de12b7960c1b5af5dd3e5a22c2cf6e1f962cbb68155358ef89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"569e6aec489516de12b7960c1b5af5dd3e5a22c2cf6e1f962cbb68155358ef89","first_computed_at":"2026-05-18T00:50:40.469863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:40.469863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f3Ysafl7QmqQwdLKF2+qzSbQhZrybR95hi/3ZdmuWAmwrLSGvX7dnlYIvBHQ27Qodt9T3q0Oxj7fk/yX/GnIDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:40.470558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.05892","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc62ad5d6bb997710af6a01476f5fdbd6bd6de888551d14d3f68b0c359885efa","sha256:982d60fcd4fe30022304f863e7593c461d0c44294b9b5be379698eb441229d4e"],"state_sha256":"bc11fadd1afb7c497935dad6a8d9ac9cc5c1c88485a56dd14b431a3376c66294"}