{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7BS5AZ3JTTY6U53UWP4XJYUV6J","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":"3ab3dfaaca6300c13e1a28d379aade318bf6184cf09e4666c9e5394a35f364c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-09-11T14:19:47Z","title_canon_sha256":"723e8a0618c6c8e8f1f7a7b4d36844db2c2c14f8e4fa3217bd17ff0c8a6f9d21"},"schema_version":"1.0","source":{"id":"1509.03528","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03528","created_at":"2026-05-18T01:33:22Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03528v1","created_at":"2026-05-18T01:33:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03528","created_at":"2026-05-18T01:33:22Z"},{"alias_kind":"pith_short_12","alias_value":"7BS5AZ3JTTY6","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"7BS5AZ3JTTY6U53U","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"7BS5AZ3J","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:1ac9378d4c9db53c96f8bb75fd438dfb9b22787f5313a2f20001f1c9d352b00a","target":"graph","created_at":"2026-05-18T01:33:22Z","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":"The work in this article is inspired by a classical problem: the statistical physical properties of a closed polymer loop that is wound around a rod. Historically the preserved topology of this system has been addressed through identification of similarities with magnetic systems. We treat the topological invariance in terms of a set of rules that describe all augmentations by additional arcs of some fundamental basic loop of a given winding number. These augmentations satisfy the Reidemeister move relevant for the polymer with respect to the rod. The topologically constrained polymer partitio","authors_text":"Christian M. Rohwer, F.-E. Mpiana Mulamba, Kristian K. M\\\"uller-Nedebock","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-09-11T14:19:47Z","title":"Conservation of polymer winding states: a combinatoric approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03528","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":"sha256:71be341f09ba99ca4c419de26c600c7e117f4dc13bade2e27e81b46a14f44a67","target":"record","created_at":"2026-05-18T01:33:22Z","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":"3ab3dfaaca6300c13e1a28d379aade318bf6184cf09e4666c9e5394a35f364c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-09-11T14:19:47Z","title_canon_sha256":"723e8a0618c6c8e8f1f7a7b4d36844db2c2c14f8e4fa3217bd17ff0c8a6f9d21"},"schema_version":"1.0","source":{"id":"1509.03528","kind":"arxiv","version":1}},"canonical_sha256":"f865d067699cf1ea7774b3f974e295f27fbaaba8aca317fdff406eaa94647147","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f865d067699cf1ea7774b3f974e295f27fbaaba8aca317fdff406eaa94647147","first_computed_at":"2026-05-18T01:33:22.964931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:22.964931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y85Hot/xSgNQKzWijbQpVgs20PD+GGhdZsvayhFn5fb4/ydcrxx5F8wekwy0Ne7KVaU9U3cjpM7nFYjcxNytDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:22.965495Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03528","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71be341f09ba99ca4c419de26c600c7e117f4dc13bade2e27e81b46a14f44a67","sha256:1ac9378d4c9db53c96f8bb75fd438dfb9b22787f5313a2f20001f1c9d352b00a"],"state_sha256":"c1db632a6fd3be393c695b55ede4b1cec6bb913763276fe920b1c40d887d3aff"}