{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7KHOJ6XCHRCZUUYTCOCTNYQAXD","short_pith_number":"pith:7KHOJ6XC","schema_version":"1.0","canonical_sha256":"fa8ee4fae23c459a5313138536e200b8dcaf624de975cfcee59a86501675742d","source":{"kind":"arxiv","id":"1409.1483","version":1},"attestation_state":"computed","paper":{"title":"Understanding the dynamics of rings in the melt in terms of annealed tree model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","q-bio.BM"],"primary_cat":"cond-mat.soft","authors_text":"Alexander Y. Grosberg, Jan Smrek","submitted_at":"2014-09-04T16:35:57Z","abstract_excerpt":"Dynamical properties of a long polymer ring in a melt of unknotted and unconcatenated rings are calculated. We re-examine and generalize the well known model of a ring confined to a lattice of topological obstacles in the light of the recently developed Flory theory of unentangled rings which maps every ring on an annealed branched polymer and establishes that the backbone associated with each ring follows self-avoiding rather than Gaussian random walk statistics. We find the scaling of ring relaxation time and diffusion coefficient with ring length, as well as time dependence of stress relaxa"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1409.1483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-09-04T16:35:57Z","cross_cats_sorted":["physics.bio-ph","q-bio.BM"],"title_canon_sha256":"1b78db460e038ee778d71f950ceb24624d9b4c1a3acbf285326aa282eb2fb006","abstract_canon_sha256":"fd46579aefb3ad5a2aa1b6b21e25d1760e7c675b335426297daeb7fd2b21d0e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:07.906621Z","signature_b64":"ttSH6j5NUQMyLWYnCmcHIS5pqOe9BQZ0UsQY3xURzyhndHWvyV2yO0Y+NjOFXyYyJpfayZXIk5iei5qEmvp9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa8ee4fae23c459a5313138536e200b8dcaf624de975cfcee59a86501675742d","last_reissued_at":"2026-05-18T01:42:07.906053Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:07.906053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Understanding the dynamics of rings in the melt in terms of annealed tree model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","q-bio.BM"],"primary_cat":"cond-mat.soft","authors_text":"Alexander Y. Grosberg, Jan Smrek","submitted_at":"2014-09-04T16:35:57Z","abstract_excerpt":"Dynamical properties of a long polymer ring in a melt of unknotted and unconcatenated rings are calculated. We re-examine and generalize the well known model of a ring confined to a lattice of topological obstacles in the light of the recently developed Flory theory of unentangled rings which maps every ring on an annealed branched polymer and establishes that the backbone associated with each ring follows self-avoiding rather than Gaussian random walk statistics. We find the scaling of ring relaxation time and diffusion coefficient with ring length, as well as time dependence of stress relaxa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1483","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1409.1483","created_at":"2026-05-18T01:42:07.906148+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.1483v1","created_at":"2026-05-18T01:42:07.906148+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1483","created_at":"2026-05-18T01:42:07.906148+00:00"},{"alias_kind":"pith_short_12","alias_value":"7KHOJ6XCHRCZ","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7KHOJ6XCHRCZUUYT","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7KHOJ6XC","created_at":"2026-05-18T12:28:19.803747+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.21741","citing_title":"Rheology and Programmable Gelation of DNA Origami Polymer Tadpoles","ref_index":8,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7KHOJ6XCHRCZUUYTCOCTNYQAXD","json":"https://pith.science/pith/7KHOJ6XCHRCZUUYTCOCTNYQAXD.json","graph_json":"https://pith.science/api/pith-number/7KHOJ6XCHRCZUUYTCOCTNYQAXD/graph.json","events_json":"https://pith.science/api/pith-number/7KHOJ6XCHRCZUUYTCOCTNYQAXD/events.json","paper":"https://pith.science/paper/7KHOJ6XC"},"agent_actions":{"view_html":"https://pith.science/pith/7KHOJ6XCHRCZUUYTCOCTNYQAXD","download_json":"https://pith.science/pith/7KHOJ6XCHRCZUUYTCOCTNYQAXD.json","view_paper":"https://pith.science/paper/7KHOJ6XC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.1483&json=true","fetch_graph":"https://pith.science/api/pith-number/7KHOJ6XCHRCZUUYTCOCTNYQAXD/graph.json","fetch_events":"https://pith.science/api/pith-number/7KHOJ6XCHRCZUUYTCOCTNYQAXD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7KHOJ6XCHRCZUUYTCOCTNYQAXD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7KHOJ6XCHRCZUUYTCOCTNYQAXD/action/storage_attestation","attest_author":"https://pith.science/pith/7KHOJ6XCHRCZUUYTCOCTNYQAXD/action/author_attestation","sign_citation":"https://pith.science/pith/7KHOJ6XCHRCZUUYTCOCTNYQAXD/action/citation_signature","submit_replication":"https://pith.science/pith/7KHOJ6XCHRCZUUYTCOCTNYQAXD/action/replication_record"}},"created_at":"2026-05-18T01:42:07.906148+00:00","updated_at":"2026-05-18T01:42:07.906148+00:00"}