{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7ZTETYQXNJGVVSARORUI3IMKON","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":"5b67595049e9735e5501a24a8ade89bf66e75fb52da986cba30b8f1f8d1f3057","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-01-11T12:17:41Z","title_canon_sha256":"85c9118ff69ab2e5a1700b54b3e26fbb65e1e5afbf43b3981500afed6db887c9"},"schema_version":"1.0","source":{"id":"1101.2109","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2109","created_at":"2026-05-18T04:15:50Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2109v1","created_at":"2026-05-18T04:15:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2109","created_at":"2026-05-18T04:15:50Z"},{"alias_kind":"pith_short_12","alias_value":"7ZTETYQXNJGV","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7ZTETYQXNJGVVSAR","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7ZTETYQX","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:a56b8aedcf0d2ac1d7038927d2744231dd210f8b503a304e7d8024f3e6434e71","target":"graph","created_at":"2026-05-18T04:15:50Z","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 discuss the dynamic behavior of a tagged particle close to a classical localization transition in the framework of the mode-coupling theory of the glass transition. Asymptotic results are derived for the order parameter as well as the dynamic correlation functions and the mean-squared displacement close to the transition. The influence of an infrared cutoff is discussed.","authors_text":"F. H\\\"ofling, S. K. Schnyder, T. Franosch, Th. Voigtmann","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-01-11T12:17:41Z","title":"Long-Wavelength Anomalies in the Asymptotic Behavior of Mode-Coupling Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2109","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":"sha256:8b8adcea8cb7e57786a56b01adb4e5417f6d03686a07c5c1e9c23c0546709ccb","target":"record","created_at":"2026-05-18T04:15:50Z","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":"5b67595049e9735e5501a24a8ade89bf66e75fb52da986cba30b8f1f8d1f3057","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-01-11T12:17:41Z","title_canon_sha256":"85c9118ff69ab2e5a1700b54b3e26fbb65e1e5afbf43b3981500afed6db887c9"},"schema_version":"1.0","source":{"id":"1101.2109","kind":"arxiv","version":1}},"canonical_sha256":"fe6649e2176a4d5ac81174688da18a734e2dad6f52a2c1b386257030d6046094","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe6649e2176a4d5ac81174688da18a734e2dad6f52a2c1b386257030d6046094","first_computed_at":"2026-05-18T04:15:50.097905Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:50.097905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z0uaWFdgw4SIDYvvkOlDIzTHlfDBobGuY92dRcE0GR/IwHgNIadWG2YRvEMynpgaFG7V7Fv/0PgSTDHom0xfDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:50.098703Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2109","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b8adcea8cb7e57786a56b01adb4e5417f6d03686a07c5c1e9c23c0546709ccb","sha256:a56b8aedcf0d2ac1d7038927d2744231dd210f8b503a304e7d8024f3e6434e71"],"state_sha256":"4d4c901983b7b59d7e65209456d59dfaa98465742bb9869fb2356a4884b737ee"}