{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:QR3LOEYIINU6BV7YPUCKXWPS67","short_pith_number":"pith:QR3LOEYI","schema_version":"1.0","canonical_sha256":"8476b713084369e0d7f87d04abd9f2f7c4d169ab3ef964b3e44b48e2544228cb","source":{"kind":"arxiv","id":"2006.04476","version":2},"attestation_state":"computed","paper":{"title":"Glassy dynamics from generalized mode-coupling theory: existence and uniqueness of solutions for hierarchically coupled integro-differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bj\\\"orn Baumeier, Liesbeth M. C. Janssen, Onur \\c{C}aylak, Rutger A. Biezemans, Simone Ciarella","submitted_at":"2020-06-08T11:11:40Z","abstract_excerpt":"Generalized mode-coupling theory (GMCT) is a first-principles-based and systematically correctable framework to predict the complex relaxation dynamics of glass-forming materials. The formal theory amounts to a hierarchy of infinitely many coupled integro-differential equations, which may be approximated using a suitable finite-order closure relation. Although previous studies have suggested that finite-order GMCT leads to well-defined solutions, and that the hierarchy converges as the closure level increases, no rigorous and general result in this direction is known. Here we unambiguously est"},"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":"2006.04476","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-06-08T11:11:40Z","cross_cats_sorted":[],"title_canon_sha256":"b3ab6651f5574093d159f1012f93ce9faef8f8c5c8260f4de79eef16da5dc3b5","abstract_canon_sha256":"850b3f583d92aa25ea8759e5bb9cb5029a46081363b7d3b7862c59018344a08b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:54:28.822564Z","signature_b64":"H2WfwonQNdKgTMMOwutAXqWpvnu9LsC2bx9AXnbUfUHWnW/mwYxu+J77gmOdiCMIX02n34pztxfn6K0FvhC4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8476b713084369e0d7f87d04abd9f2f7c4d169ab3ef964b3e44b48e2544228cb","last_reissued_at":"2026-07-05T01:54:28.822120Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:54:28.822120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Glassy dynamics from generalized mode-coupling theory: existence and uniqueness of solutions for hierarchically coupled integro-differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bj\\\"orn Baumeier, Liesbeth M. C. Janssen, Onur \\c{C}aylak, Rutger A. Biezemans, Simone Ciarella","submitted_at":"2020-06-08T11:11:40Z","abstract_excerpt":"Generalized mode-coupling theory (GMCT) is a first-principles-based and systematically correctable framework to predict the complex relaxation dynamics of glass-forming materials. The formal theory amounts to a hierarchy of infinitely many coupled integro-differential equations, which may be approximated using a suitable finite-order closure relation. Although previous studies have suggested that finite-order GMCT leads to well-defined solutions, and that the hierarchy converges as the closure level increases, no rigorous and general result in this direction is known. Here we unambiguously est"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.04476","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2006.04476/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2006.04476","created_at":"2026-07-05T01:54:28.822180+00:00"},{"alias_kind":"arxiv_version","alias_value":"2006.04476v2","created_at":"2026-07-05T01:54:28.822180+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.04476","created_at":"2026-07-05T01:54:28.822180+00:00"},{"alias_kind":"pith_short_12","alias_value":"QR3LOEYIINU6","created_at":"2026-07-05T01:54:28.822180+00:00"},{"alias_kind":"pith_short_16","alias_value":"QR3LOEYIINU6BV7Y","created_at":"2026-07-05T01:54:28.822180+00:00"},{"alias_kind":"pith_short_8","alias_value":"QR3LOEYI","created_at":"2026-07-05T01:54:28.822180+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.08358","citing_title":"A Shared Observation Shields Collective Fluctuations while Preserving Local Independence","ref_index":103,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QR3LOEYIINU6BV7YPUCKXWPS67","json":"https://pith.science/pith/QR3LOEYIINU6BV7YPUCKXWPS67.json","graph_json":"https://pith.science/api/pith-number/QR3LOEYIINU6BV7YPUCKXWPS67/graph.json","events_json":"https://pith.science/api/pith-number/QR3LOEYIINU6BV7YPUCKXWPS67/events.json","paper":"https://pith.science/paper/QR3LOEYI"},"agent_actions":{"view_html":"https://pith.science/pith/QR3LOEYIINU6BV7YPUCKXWPS67","download_json":"https://pith.science/pith/QR3LOEYIINU6BV7YPUCKXWPS67.json","view_paper":"https://pith.science/paper/QR3LOEYI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2006.04476&json=true","fetch_graph":"https://pith.science/api/pith-number/QR3LOEYIINU6BV7YPUCKXWPS67/graph.json","fetch_events":"https://pith.science/api/pith-number/QR3LOEYIINU6BV7YPUCKXWPS67/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QR3LOEYIINU6BV7YPUCKXWPS67/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QR3LOEYIINU6BV7YPUCKXWPS67/action/storage_attestation","attest_author":"https://pith.science/pith/QR3LOEYIINU6BV7YPUCKXWPS67/action/author_attestation","sign_citation":"https://pith.science/pith/QR3LOEYIINU6BV7YPUCKXWPS67/action/citation_signature","submit_replication":"https://pith.science/pith/QR3LOEYIINU6BV7YPUCKXWPS67/action/replication_record"}},"created_at":"2026-07-05T01:54:28.822180+00:00","updated_at":"2026-07-05T01:54:28.822180+00:00"}