{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:ZHCL4J2BWQIG6JYZLUQPBYAVFE","short_pith_number":"pith:ZHCL4J2B","schema_version":"1.0","canonical_sha256":"c9c4be2741b4106f27195d20f0e015292849f9e1dc0de6a4270975584dc57cf1","source":{"kind":"arxiv","id":"1102.4962","version":2},"attestation_state":"computed","paper":{"title":"Scale-free center-of-mass displacement correlations in dense polymer solutions and melts without topological constraints and momentum conservation: A bond-fluctuation model study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Albert Johner, Anna Cavallo, Hendrik Meyer, Jean Farago, Joachim P. Wittmer, J\\\"org Baschnagel, Patrycia Poli\\'nska","submitted_at":"2011-02-24T11:23:10Z","abstract_excerpt":"By Monte Carlo simulations of a variant of the bond-fluctuation model without topological constraints we examine the center-of-mass (COM) dynamics of polymer melts in $d=3$ dimensions. Our analysis focuses on the COM displacement correlation function $\\CN(t) \\approx \\partial_t^2 \\MSDcmN(t)/2$, measuring the curvature of the COM mean-square displacement $\\MSDcmN(t)$. We demonstrate that $\\CN(t) \\approx -(\\RN/\\TN)^2 (\\rhostar/\\rho) \\ f(x=t/\\TN)$ with $N$ being the chain length ($16 \\le N \\le 8192$), $\\RN\\sim N^{1/2}$ the typical chain size, $\\TN\\sim N^2$ the longest chain relaxation time, $\\rho$"},"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":"1102.4962","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-02-24T11:23:10Z","cross_cats_sorted":[],"title_canon_sha256":"28c808b6f9c2dcd24dc6e7b0916584774d8ec69f9b8198997100ddcbe5eda162","abstract_canon_sha256":"356e062969f2dc2aef63977b7644e77184560959e4f809eea0f2c8b499a29c89"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:05.557448Z","signature_b64":"Fhxv3Sz5vkFHXBb3GSfqhPzx7UuwYcacVVBq6fOIE46+XoEKrV59m4th3xeAckjFDVNwO+S+8kA7zf6j4POADQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9c4be2741b4106f27195d20f0e015292849f9e1dc0de6a4270975584dc57cf1","last_reissued_at":"2026-05-18T02:03:05.556965Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:05.556965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scale-free center-of-mass displacement correlations in dense polymer solutions and melts without topological constraints and momentum conservation: A bond-fluctuation model study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Albert Johner, Anna Cavallo, Hendrik Meyer, Jean Farago, Joachim P. Wittmer, J\\\"org Baschnagel, Patrycia Poli\\'nska","submitted_at":"2011-02-24T11:23:10Z","abstract_excerpt":"By Monte Carlo simulations of a variant of the bond-fluctuation model without topological constraints we examine the center-of-mass (COM) dynamics of polymer melts in $d=3$ dimensions. Our analysis focuses on the COM displacement correlation function $\\CN(t) \\approx \\partial_t^2 \\MSDcmN(t)/2$, measuring the curvature of the COM mean-square displacement $\\MSDcmN(t)$. We demonstrate that $\\CN(t) \\approx -(\\RN/\\TN)^2 (\\rhostar/\\rho) \\ f(x=t/\\TN)$ with $N$ being the chain length ($16 \\le N \\le 8192$), $\\RN\\sim N^{1/2}$ the typical chain size, $\\TN\\sim N^2$ the longest chain relaxation time, $\\rho$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4962","kind":"arxiv","version":2},"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":"1102.4962","created_at":"2026-05-18T02:03:05.557025+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.4962v2","created_at":"2026-05-18T02:03:05.557025+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4962","created_at":"2026-05-18T02:03:05.557025+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZHCL4J2BWQIG","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZHCL4J2BWQIG6JYZ","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZHCL4J2B","created_at":"2026-05-18T12:26:47.523578+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZHCL4J2BWQIG6JYZLUQPBYAVFE","json":"https://pith.science/pith/ZHCL4J2BWQIG6JYZLUQPBYAVFE.json","graph_json":"https://pith.science/api/pith-number/ZHCL4J2BWQIG6JYZLUQPBYAVFE/graph.json","events_json":"https://pith.science/api/pith-number/ZHCL4J2BWQIG6JYZLUQPBYAVFE/events.json","paper":"https://pith.science/paper/ZHCL4J2B"},"agent_actions":{"view_html":"https://pith.science/pith/ZHCL4J2BWQIG6JYZLUQPBYAVFE","download_json":"https://pith.science/pith/ZHCL4J2BWQIG6JYZLUQPBYAVFE.json","view_paper":"https://pith.science/paper/ZHCL4J2B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.4962&json=true","fetch_graph":"https://pith.science/api/pith-number/ZHCL4J2BWQIG6JYZLUQPBYAVFE/graph.json","fetch_events":"https://pith.science/api/pith-number/ZHCL4J2BWQIG6JYZLUQPBYAVFE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZHCL4J2BWQIG6JYZLUQPBYAVFE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZHCL4J2BWQIG6JYZLUQPBYAVFE/action/storage_attestation","attest_author":"https://pith.science/pith/ZHCL4J2BWQIG6JYZLUQPBYAVFE/action/author_attestation","sign_citation":"https://pith.science/pith/ZHCL4J2BWQIG6JYZLUQPBYAVFE/action/citation_signature","submit_replication":"https://pith.science/pith/ZHCL4J2BWQIG6JYZLUQPBYAVFE/action/replication_record"}},"created_at":"2026-05-18T02:03:05.557025+00:00","updated_at":"2026-05-18T02:03:05.557025+00:00"}