{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EPM3CTYQS6YBAZJVF6UYLQWR3D","short_pith_number":"pith:EPM3CTYQ","canonical_record":{"source":{"id":"1104.1008","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-04-06T05:16:38Z","cross_cats_sorted":[],"title_canon_sha256":"36be12e06380b91b76293ac099f343597b64b453190da415f1d0c695e799de8a","abstract_canon_sha256":"aca72752cb7edab652556c09c39d40d3c967fabe72530a90c35ca5a3ba827c89"},"schema_version":"1.0"},"canonical_sha256":"23d9b14f1097b01065352fa985c2d1d8c98d6cab0aca4e6108027b39fa1c0753","source":{"kind":"arxiv","id":"1104.1008","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1008","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1008v1","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1008","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"pith_short_12","alias_value":"EPM3CTYQS6YB","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EPM3CTYQS6YBAZJV","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EPM3CTYQ","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EPM3CTYQS6YBAZJVF6UYLQWR3D","target":"record","payload":{"canonical_record":{"source":{"id":"1104.1008","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-04-06T05:16:38Z","cross_cats_sorted":[],"title_canon_sha256":"36be12e06380b91b76293ac099f343597b64b453190da415f1d0c695e799de8a","abstract_canon_sha256":"aca72752cb7edab652556c09c39d40d3c967fabe72530a90c35ca5a3ba827c89"},"schema_version":"1.0"},"canonical_sha256":"23d9b14f1097b01065352fa985c2d1d8c98d6cab0aca4e6108027b39fa1c0753","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:37.394859Z","signature_b64":"dtPjW+Gnd8kPZ9NAxOBnepz76JdJAOV2OD0DInw3rRkNJvkRKVWvHy+jpZF4/M8233laA0litWgrSwrHtsjCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23d9b14f1097b01065352fa985c2d1d8c98d6cab0aca4e6108027b39fa1c0753","last_reissued_at":"2026-05-18T02:02:37.394167Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:37.394167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.1008","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:02:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aNjYSenYatmqq/elbqmOSo1RMsB3AtMLBEtCLMu7zHf1eysJNkv9PeZn6r/u/01/g45lXra6vPFGSZlsayYpCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:27:25.510173Z"},"content_sha256":"5e25b69f1065d90d3b039c7195080075caf5798aae33106c919dee0d54c0aa3b","schema_version":"1.0","event_id":"sha256:5e25b69f1065d90d3b039c7195080075caf5798aae33106c919dee0d54c0aa3b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EPM3CTYQS6YBAZJVF6UYLQWR3D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ring polymers in melts and solutions: scaling and crossover","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Takahiro Sakaue","submitted_at":"2011-04-06T05:16:38Z","abstract_excerpt":"We propose a simple mean-field theory for the structure of ring polymer melts. By combining the notion of topological volume fraction and a classical van der Waals theory of fluids, we take into account many body effects of topological origin in dense systems. We predict that although the compact statistics with the Flory exponent $\\nu=1/3$ is realized for very long chains, most practical cases fall into the crossover regime with the apparent exponent $\\nu = 2/5$ during which the system evolves toward a topological dense-packed limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1008","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:02:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MyyL6osnNzT2wUA5L/T9rWQNxIxdm6vI00w5ZgfhyEMR7u82ZxMGtww7vs4Yf/9aj37fKyI1wGBdIchYntRECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:27:25.510540Z"},"content_sha256":"63022f65478c6405276f9c08bdca9443126ab87b5ff42b3162fd325f865686e2","schema_version":"1.0","event_id":"sha256:63022f65478c6405276f9c08bdca9443126ab87b5ff42b3162fd325f865686e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EPM3CTYQS6YBAZJVF6UYLQWR3D/bundle.json","state_url":"https://pith.science/pith/EPM3CTYQS6YBAZJVF6UYLQWR3D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EPM3CTYQS6YBAZJVF6UYLQWR3D/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T13:27:25Z","links":{"resolver":"https://pith.science/pith/EPM3CTYQS6YBAZJVF6UYLQWR3D","bundle":"https://pith.science/pith/EPM3CTYQS6YBAZJVF6UYLQWR3D/bundle.json","state":"https://pith.science/pith/EPM3CTYQS6YBAZJVF6UYLQWR3D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EPM3CTYQS6YBAZJVF6UYLQWR3D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EPM3CTYQS6YBAZJVF6UYLQWR3D","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":"aca72752cb7edab652556c09c39d40d3c967fabe72530a90c35ca5a3ba827c89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-04-06T05:16:38Z","title_canon_sha256":"36be12e06380b91b76293ac099f343597b64b453190da415f1d0c695e799de8a"},"schema_version":"1.0","source":{"id":"1104.1008","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1008","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1008v1","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1008","created_at":"2026-05-18T02:02:37Z"},{"alias_kind":"pith_short_12","alias_value":"EPM3CTYQS6YB","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EPM3CTYQS6YBAZJV","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EPM3CTYQ","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:63022f65478c6405276f9c08bdca9443126ab87b5ff42b3162fd325f865686e2","target":"graph","created_at":"2026-05-18T02:02:37Z","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":"We propose a simple mean-field theory for the structure of ring polymer melts. By combining the notion of topological volume fraction and a classical van der Waals theory of fluids, we take into account many body effects of topological origin in dense systems. We predict that although the compact statistics with the Flory exponent $\\nu=1/3$ is realized for very long chains, most practical cases fall into the crossover regime with the apparent exponent $\\nu = 2/5$ during which the system evolves toward a topological dense-packed limit.","authors_text":"Takahiro Sakaue","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-04-06T05:16:38Z","title":"Ring polymers in melts and solutions: scaling and crossover"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1008","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":"sha256:5e25b69f1065d90d3b039c7195080075caf5798aae33106c919dee0d54c0aa3b","target":"record","created_at":"2026-05-18T02:02:37Z","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":"aca72752cb7edab652556c09c39d40d3c967fabe72530a90c35ca5a3ba827c89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-04-06T05:16:38Z","title_canon_sha256":"36be12e06380b91b76293ac099f343597b64b453190da415f1d0c695e799de8a"},"schema_version":"1.0","source":{"id":"1104.1008","kind":"arxiv","version":1}},"canonical_sha256":"23d9b14f1097b01065352fa985c2d1d8c98d6cab0aca4e6108027b39fa1c0753","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23d9b14f1097b01065352fa985c2d1d8c98d6cab0aca4e6108027b39fa1c0753","first_computed_at":"2026-05-18T02:02:37.394167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:37.394167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dtPjW+Gnd8kPZ9NAxOBnepz76JdJAOV2OD0DInw3rRkNJvkRKVWvHy+jpZF4/M8233laA0litWgrSwrHtsjCBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:37.394859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1008","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e25b69f1065d90d3b039c7195080075caf5798aae33106c919dee0d54c0aa3b","sha256:63022f65478c6405276f9c08bdca9443126ab87b5ff42b3162fd325f865686e2"],"state_sha256":"3725ef161f9f3b27cde6ae1d11ad65a12e4a62e2d76da51b5427468848214e5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2PP+or/vr7d0R+BBMen1wRjBtjmG3UpcrgxxcDJvNLJjSpu6x94xVCo6Ue+lOGKJWlTd84HARfEDc/oeZnOGAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:27:25.512465Z","bundle_sha256":"255d17229c72c93f8f7553ed3c897593bf44cc08a4a77187c844a74fbf6a9750"}}