{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DIPTFS4GN7GKOOMVNF26AHLRYH","short_pith_number":"pith:DIPTFS4G","schema_version":"1.0","canonical_sha256":"1a1f32cb866fcca739956975e01d71c1f7b70edd30be73770ccfd7dc1cf8c4d7","source":{"kind":"arxiv","id":"1510.01475","version":1},"attestation_state":"computed","paper":{"title":"Simple-average expressions for shear-stress relaxation modulus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"H. Xu, J. Baschnagel, J.P. Wittmer","submitted_at":"2015-10-06T08:40:04Z","abstract_excerpt":"Focusing on isotropic elastic networks we propose a novel simple-average expression $G(t) = \\mu_A - h(t)$ for the computational determination of the shear-stress relaxation modulus $G(t)$ of a classical elastic solid or fluid and its equilibrium modulus $\\G_{eq} = \\lim_{t \\to \\infty} G(t)$. Here, $\\mu_A = G(0)$ characterizes the shear transformation of the system at $t=0$ and $h(t)$ the (rescaled) mean-square displacement of the instantaneous shear stress $\\hat{\\tau}(t)$ as a function of time $t$. While investigating sampling time effects we also discuss the related expressions in terms of she"},"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":"1510.01475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-06T08:40:04Z","cross_cats_sorted":[],"title_canon_sha256":"75c86402abf1ca6b06bf0fdec505892a9f7e7a3ac5cdf3b532e8a035992ca7e2","abstract_canon_sha256":"b5123b8333d07a3643404076994c5bb93cbdf869d47cf29ae903df30f433a7d1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:02.990265Z","signature_b64":"YPxSgSNREW6RqsMEjDknwnnwYQhL68JBtPYThShg3zYRbIRetiC4UObMLDc7FnPX8nyCPCSH/fl8bTqSP7YyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a1f32cb866fcca739956975e01d71c1f7b70edd30be73770ccfd7dc1cf8c4d7","last_reissued_at":"2026-05-18T01:23:02.989637Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:02.989637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple-average expressions for shear-stress relaxation modulus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"H. Xu, J. Baschnagel, J.P. Wittmer","submitted_at":"2015-10-06T08:40:04Z","abstract_excerpt":"Focusing on isotropic elastic networks we propose a novel simple-average expression $G(t) = \\mu_A - h(t)$ for the computational determination of the shear-stress relaxation modulus $G(t)$ of a classical elastic solid or fluid and its equilibrium modulus $\\G_{eq} = \\lim_{t \\to \\infty} G(t)$. Here, $\\mu_A = G(0)$ characterizes the shear transformation of the system at $t=0$ and $h(t)$ the (rescaled) mean-square displacement of the instantaneous shear stress $\\hat{\\tau}(t)$ as a function of time $t$. While investigating sampling time effects we also discuss the related expressions in terms of she"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.01475","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":"1510.01475","created_at":"2026-05-18T01:23:02.989724+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.01475v1","created_at":"2026-05-18T01:23:02.989724+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.01475","created_at":"2026-05-18T01:23:02.989724+00:00"},{"alias_kind":"pith_short_12","alias_value":"DIPTFS4GN7GK","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DIPTFS4GN7GKOOMV","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DIPTFS4G","created_at":"2026-05-18T12:29:17.054201+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/DIPTFS4GN7GKOOMVNF26AHLRYH","json":"https://pith.science/pith/DIPTFS4GN7GKOOMVNF26AHLRYH.json","graph_json":"https://pith.science/api/pith-number/DIPTFS4GN7GKOOMVNF26AHLRYH/graph.json","events_json":"https://pith.science/api/pith-number/DIPTFS4GN7GKOOMVNF26AHLRYH/events.json","paper":"https://pith.science/paper/DIPTFS4G"},"agent_actions":{"view_html":"https://pith.science/pith/DIPTFS4GN7GKOOMVNF26AHLRYH","download_json":"https://pith.science/pith/DIPTFS4GN7GKOOMVNF26AHLRYH.json","view_paper":"https://pith.science/paper/DIPTFS4G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.01475&json=true","fetch_graph":"https://pith.science/api/pith-number/DIPTFS4GN7GKOOMVNF26AHLRYH/graph.json","fetch_events":"https://pith.science/api/pith-number/DIPTFS4GN7GKOOMVNF26AHLRYH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DIPTFS4GN7GKOOMVNF26AHLRYH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DIPTFS4GN7GKOOMVNF26AHLRYH/action/storage_attestation","attest_author":"https://pith.science/pith/DIPTFS4GN7GKOOMVNF26AHLRYH/action/author_attestation","sign_citation":"https://pith.science/pith/DIPTFS4GN7GKOOMVNF26AHLRYH/action/citation_signature","submit_replication":"https://pith.science/pith/DIPTFS4GN7GKOOMVNF26AHLRYH/action/replication_record"}},"created_at":"2026-05-18T01:23:02.989724+00:00","updated_at":"2026-05-18T01:23:02.989724+00:00"}