{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:46SFM4VXEX7PCC66FVLIMGE2J6","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":"85fc9562cedcb945ef4d7b4693f8275d4a1b1b15b3691d68e28f50e59ad5a247","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-14T10:23:30Z","title_canon_sha256":"302f27676b5f58fd4d45f31a36c4fb6a8564b40e0575a2336c593c3a8bfe9ceb"},"schema_version":"1.0","source":{"id":"1407.3592","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.3592","created_at":"2026-05-18T01:42:37Z"},{"alias_kind":"arxiv_version","alias_value":"1407.3592v1","created_at":"2026-05-18T01:42:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3592","created_at":"2026-05-18T01:42:37Z"},{"alias_kind":"pith_short_12","alias_value":"46SFM4VXEX7P","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"46SFM4VXEX7PCC66","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"46SFM4VX","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:c8219f1c4e80725ea2ca36e21c5163eb5fed29c83e982cb8a365f1b71f40a97b","target":"graph","created_at":"2026-05-18T01:42:37Z","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":"Contours associated to many interesting low-temperature statistical mechanics models (2D Ising model, (2+1)D SOS interface model, etc) can be described as self-interacting and self-avoiding walks on $\\mathbb Z^2$. When the model is defined in a finite box, the presence of the boundary induces an interaction, that can turn out to be attractive, between the contour and the boundary of the box. On the other hand, the contour cannot cross the boundary, so it feels entropic repulsion from it. In various situations of interest a crucial technical problem is to prove that entropic repulsion prevails ","authors_text":"Dmitry Ioffe, Fabio Lucio Toninelli, Senya Shlosman","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-14T10:23:30Z","title":"Interaction versus entropic repulsion for low temperature Ising polymers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3592","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:e0e1e945a422166f976eb94ca08294c4c25e3b5c17cc6e575faf0d9323bf7db3","target":"record","created_at":"2026-05-18T01:42:37Z","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":"85fc9562cedcb945ef4d7b4693f8275d4a1b1b15b3691d68e28f50e59ad5a247","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-14T10:23:30Z","title_canon_sha256":"302f27676b5f58fd4d45f31a36c4fb6a8564b40e0575a2336c593c3a8bfe9ceb"},"schema_version":"1.0","source":{"id":"1407.3592","kind":"arxiv","version":1}},"canonical_sha256":"e7a45672b725fef10bde2d5686189a4fa503077b7a5bb3a2df418c20957b13cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7a45672b725fef10bde2d5686189a4fa503077b7a5bb3a2df418c20957b13cf","first_computed_at":"2026-05-18T01:42:37.168955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:37.168955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w5+/R7csZDBZn8Tf5zxwR5KMKPikmxV2/BVlUa4sGW4hksw4BZ6jGSI+cTUdH4z51RiJenI7ND5OeXDO5C7qAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:37.169462Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.3592","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0e1e945a422166f976eb94ca08294c4c25e3b5c17cc6e575faf0d9323bf7db3","sha256:c8219f1c4e80725ea2ca36e21c5163eb5fed29c83e982cb8a365f1b71f40a97b"],"state_sha256":"ce30bd41cfeac939a271c7a6feaca87b46fdf46097d964112ea817e3bb3a36c7"}