{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:276WZV2LDY6VP4PDKFPFY4KKT3","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":"98deec0c56cc78ed759924c42c2d52fbba13cbe42bc497a1547a88ba732ae519","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2018-10-02T05:17:01Z","title_canon_sha256":"92207c5c83c2cf24fbea9b7468b63b74b39f4e148a5fdab2a5ecb60e9249a389"},"schema_version":"1.0","source":{"id":"1810.01071","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.01071","created_at":"2026-05-18T00:04:18Z"},{"alias_kind":"arxiv_version","alias_value":"1810.01071v1","created_at":"2026-05-18T00:04:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.01071","created_at":"2026-05-18T00:04:18Z"},{"alias_kind":"pith_short_12","alias_value":"276WZV2LDY6V","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"276WZV2LDY6VP4PD","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"276WZV2L","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:43e4a10ccd24c817a9341365902e43ffee5c1b5492cfd656e7700318d082c0d4","target":"graph","created_at":"2026-05-18T00:04:18Z","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":"Motivated by recent observations that non-concatenated ring polymers in their dense solution exhibit a glass-like dynamics, we propose a free volume description of the motion of such rings based on the notion of topological volume. We first construct a phenomenological free energy which enables one to qnaitify the degree of topological crowding measured by the coordination number. Then we pinpoint a key role of the cooperative dynamics of neighboring rings, which is responsible for an anomalous dependence of the global structural relaxation (diffusion) time on ring length. Predictions on molec","authors_text":"Takahiro Sakaue","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2018-10-02T05:17:01Z","title":"Topological free volume and quasi-glassy dynamics in melt of ring polymers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01071","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":"sha256:9fd06ee16e206ce99dd75d318d1e401f48f1e68cfe12368c548bc383a867a8c2","target":"record","created_at":"2026-05-18T00:04:18Z","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":"98deec0c56cc78ed759924c42c2d52fbba13cbe42bc497a1547a88ba732ae519","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2018-10-02T05:17:01Z","title_canon_sha256":"92207c5c83c2cf24fbea9b7468b63b74b39f4e148a5fdab2a5ecb60e9249a389"},"schema_version":"1.0","source":{"id":"1810.01071","kind":"arxiv","version":1}},"canonical_sha256":"d7fd6cd74b1e3d57f1e3515e5c714a9ecee2039ea3daf891d5a8711ad7403410","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7fd6cd74b1e3d57f1e3515e5c714a9ecee2039ea3daf891d5a8711ad7403410","first_computed_at":"2026-05-18T00:04:18.951550Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:18.951550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"87IIW11BsVbeUjTonFi+q9wTfYzbtxT0XK9duQjuPFHz+o5Kxm4lfsRbx245X58PFl3ZgOlNhF7ehkzL0+YABg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:18.952259Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.01071","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fd06ee16e206ce99dd75d318d1e401f48f1e68cfe12368c548bc383a867a8c2","sha256:43e4a10ccd24c817a9341365902e43ffee5c1b5492cfd656e7700318d082c0d4"],"state_sha256":"5d8cc2bd54f3e4f7ae2b83f6fe09af51dffda99873c5a6218f1deb65b639321d"}