{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:VVCOMHSZGCMJ6WLYBOID2PYCBC","short_pith_number":"pith:VVCOMHSZ","schema_version":"1.0","canonical_sha256":"ad44e61e5930989f59780b903d3f0208b4b404877f0598405d173d601a232b5f","source":{"kind":"arxiv","id":"1312.7518","version":1},"attestation_state":"computed","paper":{"title":"Dynamics of Polymers: a Mean-Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Glenn H. Fredrickson, Henri Orland","submitted_at":"2013-12-29T11:17:35Z","abstract_excerpt":"We derive a general mean-field theory of inhomogeneous polymer dynamics; a theory whose form has been speculated and widely applied, but not heretofore derived. Our approach involves a functional integral representation of a Martin-Siggia-Rose type description of the exact many-chain dynamics. A saddle point approximation to the generating functional, involving conditions where the MSR action is stationary with respect to a collective density field $\\rho$ and a conjugate MSR response field $\\phi$, produces the desired dynamical mean-field theory. Besides clarifying the proper structure of mean"},"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":"1312.7518","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-12-29T11:17:35Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"27b7728ff9cea4a3b928f171dafa8783918a7f425114ba2d6ea92c43418465a9","abstract_canon_sha256":"2da582450ff3e5b908772699ac4be30e3a29c1b807afe1c7eb2fe586b297fe6f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:35.405089Z","signature_b64":"mPjZVFliaA6JDu5m6+qefr13YiXv4QIU7tG4e7PmB6zcdh1WO1vOLKNXV0YErOxviCsepfq0/uhwbcIaxpheBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad44e61e5930989f59780b903d3f0208b4b404877f0598405d173d601a232b5f","last_reissued_at":"2026-05-18T01:45:35.404451Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:35.404451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics of Polymers: a Mean-Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Glenn H. Fredrickson, Henri Orland","submitted_at":"2013-12-29T11:17:35Z","abstract_excerpt":"We derive a general mean-field theory of inhomogeneous polymer dynamics; a theory whose form has been speculated and widely applied, but not heretofore derived. Our approach involves a functional integral representation of a Martin-Siggia-Rose type description of the exact many-chain dynamics. A saddle point approximation to the generating functional, involving conditions where the MSR action is stationary with respect to a collective density field $\\rho$ and a conjugate MSR response field $\\phi$, produces the desired dynamical mean-field theory. Besides clarifying the proper structure of mean"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7518","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":"1312.7518","created_at":"2026-05-18T01:45:35.404553+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.7518v1","created_at":"2026-05-18T01:45:35.404553+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7518","created_at":"2026-05-18T01:45:35.404553+00:00"},{"alias_kind":"pith_short_12","alias_value":"VVCOMHSZGCMJ","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VVCOMHSZGCMJ6WLY","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VVCOMHSZ","created_at":"2026-05-18T12:28:04.890932+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/VVCOMHSZGCMJ6WLYBOID2PYCBC","json":"https://pith.science/pith/VVCOMHSZGCMJ6WLYBOID2PYCBC.json","graph_json":"https://pith.science/api/pith-number/VVCOMHSZGCMJ6WLYBOID2PYCBC/graph.json","events_json":"https://pith.science/api/pith-number/VVCOMHSZGCMJ6WLYBOID2PYCBC/events.json","paper":"https://pith.science/paper/VVCOMHSZ"},"agent_actions":{"view_html":"https://pith.science/pith/VVCOMHSZGCMJ6WLYBOID2PYCBC","download_json":"https://pith.science/pith/VVCOMHSZGCMJ6WLYBOID2PYCBC.json","view_paper":"https://pith.science/paper/VVCOMHSZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.7518&json=true","fetch_graph":"https://pith.science/api/pith-number/VVCOMHSZGCMJ6WLYBOID2PYCBC/graph.json","fetch_events":"https://pith.science/api/pith-number/VVCOMHSZGCMJ6WLYBOID2PYCBC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VVCOMHSZGCMJ6WLYBOID2PYCBC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VVCOMHSZGCMJ6WLYBOID2PYCBC/action/storage_attestation","attest_author":"https://pith.science/pith/VVCOMHSZGCMJ6WLYBOID2PYCBC/action/author_attestation","sign_citation":"https://pith.science/pith/VVCOMHSZGCMJ6WLYBOID2PYCBC/action/citation_signature","submit_replication":"https://pith.science/pith/VVCOMHSZGCMJ6WLYBOID2PYCBC/action/replication_record"}},"created_at":"2026-05-18T01:45:35.404553+00:00","updated_at":"2026-05-18T01:45:35.404553+00:00"}