{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:7HTUD6BEYPXZDQRGBDIHM2NGLR","short_pith_number":"pith:7HTUD6BE","canonical_record":{"source":{"id":"cond-mat/0609705","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-09-27T14:23:10Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"7005164283d82a5e8bf6ece7137f7f4055d55c44521ffe28cfd72a47c787929a","abstract_canon_sha256":"4c71d873827c0c274a81560734818e8b45ca0de604f6577a5be3d27bc95cdb7a"},"schema_version":"1.0"},"canonical_sha256":"f9e741f824c3ef91c22608d07669a65c68ef2ce65e26e2a2d9502eb71208a762","source":{"kind":"arxiv","id":"cond-mat/0609705","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0609705","created_at":"2026-05-18T01:39:42Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0609705v1","created_at":"2026-05-18T01:39:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0609705","created_at":"2026-05-18T01:39:42Z"},{"alias_kind":"pith_short_12","alias_value":"7HTUD6BEYPXZ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7HTUD6BEYPXZDQRG","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7HTUD6BE","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:7HTUD6BEYPXZDQRGBDIHM2NGLR","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0609705","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-09-27T14:23:10Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"7005164283d82a5e8bf6ece7137f7f4055d55c44521ffe28cfd72a47c787929a","abstract_canon_sha256":"4c71d873827c0c274a81560734818e8b45ca0de604f6577a5be3d27bc95cdb7a"},"schema_version":"1.0"},"canonical_sha256":"f9e741f824c3ef91c22608d07669a65c68ef2ce65e26e2a2d9502eb71208a762","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:42.943159Z","signature_b64":"jBsdg2DUC79qjoYuY8gr9jFWnkglKIC/2UQvWrdAV4FiH7zNWm29ypm4tsgv7DseG3PeCKaMR40VrZ+2FcXMAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9e741f824c3ef91c22608d07669a65c68ef2ce65e26e2a2d9502eb71208a762","last_reissued_at":"2026-05-18T01:39:42.942458Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:42.942458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0609705","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1AmXVPni3R1rPPkaT7TkkppVg90L+3i+xe8Ct/ZmLJfII6LKk8kq/PoJjG05I3QNm2kfizp3FYU9s1wEGyhZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:05:40.563439Z"},"content_sha256":"86c42c43a679e1b36a73edbd1c1c3aaf554b176a70cf7495640fdfd7cf695315","schema_version":"1.0","event_id":"sha256:86c42c43a679e1b36a73edbd1c1c3aaf554b176a70cf7495640fdfd7cf695315"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:7HTUD6BEYPXZDQRGBDIHM2NGLR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical fluctuations and breakdown of Stokes-Einstein relation in the Mode-Coupling Theory of glasses","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Giulio Biroli, Jean-Philippe Bouchaud","submitted_at":"2006-09-27T14:23:10Z","abstract_excerpt":"We argue that the critical dynamical fluctuations predicted by the mode-coupling theory (MCT) of glasses provide a natural mechanism to explain the breakdown of the Stokes-Einstein relation. This breakdown, observed numerically and experimentally in a region where MCT should hold, is one of the major difficulty of the theory, for which we propose a natural resolution based on the recent interpretation of the MCT transition as a bona fide critical point with a diverging length scale. We also show that the upper critical dimension of MCT is d_c=8."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0609705","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t9S2PJNslgvlN3pNe0UB+jOtvDyugfhwfdIh8HIXvfBOosMSuI9aA3EtZa1XCRx/eDKqmKpgmwVVm0HdCDIxCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:05:40.563813Z"},"content_sha256":"b4696fedc183f8c0be4a794f2dcad5c9b340babd7664161e6d50a7bf4e625cde","schema_version":"1.0","event_id":"sha256:b4696fedc183f8c0be4a794f2dcad5c9b340babd7664161e6d50a7bf4e625cde"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7HTUD6BEYPXZDQRGBDIHM2NGLR/bundle.json","state_url":"https://pith.science/pith/7HTUD6BEYPXZDQRGBDIHM2NGLR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7HTUD6BEYPXZDQRGBDIHM2NGLR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T01:05:40Z","links":{"resolver":"https://pith.science/pith/7HTUD6BEYPXZDQRGBDIHM2NGLR","bundle":"https://pith.science/pith/7HTUD6BEYPXZDQRGBDIHM2NGLR/bundle.json","state":"https://pith.science/pith/7HTUD6BEYPXZDQRGBDIHM2NGLR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7HTUD6BEYPXZDQRGBDIHM2NGLR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:7HTUD6BEYPXZDQRGBDIHM2NGLR","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":"4c71d873827c0c274a81560734818e8b45ca0de604f6577a5be3d27bc95cdb7a","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-09-27T14:23:10Z","title_canon_sha256":"7005164283d82a5e8bf6ece7137f7f4055d55c44521ffe28cfd72a47c787929a"},"schema_version":"1.0","source":{"id":"cond-mat/0609705","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0609705","created_at":"2026-05-18T01:39:42Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0609705v1","created_at":"2026-05-18T01:39:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0609705","created_at":"2026-05-18T01:39:42Z"},{"alias_kind":"pith_short_12","alias_value":"7HTUD6BEYPXZ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7HTUD6BEYPXZDQRG","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7HTUD6BE","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:b4696fedc183f8c0be4a794f2dcad5c9b340babd7664161e6d50a7bf4e625cde","target":"graph","created_at":"2026-05-18T01:39:42Z","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 argue that the critical dynamical fluctuations predicted by the mode-coupling theory (MCT) of glasses provide a natural mechanism to explain the breakdown of the Stokes-Einstein relation. This breakdown, observed numerically and experimentally in a region where MCT should hold, is one of the major difficulty of the theory, for which we propose a natural resolution based on the recent interpretation of the MCT transition as a bona fide critical point with a diverging length scale. We also show that the upper critical dimension of MCT is d_c=8.","authors_text":"Giulio Biroli, Jean-Philippe Bouchaud","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-09-27T14:23:10Z","title":"Critical fluctuations and breakdown of Stokes-Einstein relation in the Mode-Coupling Theory of glasses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0609705","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":"sha256:86c42c43a679e1b36a73edbd1c1c3aaf554b176a70cf7495640fdfd7cf695315","target":"record","created_at":"2026-05-18T01:39:42Z","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":"4c71d873827c0c274a81560734818e8b45ca0de604f6577a5be3d27bc95cdb7a","cross_cats_sorted":["cond-mat.dis-nn"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-09-27T14:23:10Z","title_canon_sha256":"7005164283d82a5e8bf6ece7137f7f4055d55c44521ffe28cfd72a47c787929a"},"schema_version":"1.0","source":{"id":"cond-mat/0609705","kind":"arxiv","version":1}},"canonical_sha256":"f9e741f824c3ef91c22608d07669a65c68ef2ce65e26e2a2d9502eb71208a762","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9e741f824c3ef91c22608d07669a65c68ef2ce65e26e2a2d9502eb71208a762","first_computed_at":"2026-05-18T01:39:42.942458Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:42.942458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jBsdg2DUC79qjoYuY8gr9jFWnkglKIC/2UQvWrdAV4FiH7zNWm29ypm4tsgv7DseG3PeCKaMR40VrZ+2FcXMAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:42.943159Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0609705","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86c42c43a679e1b36a73edbd1c1c3aaf554b176a70cf7495640fdfd7cf695315","sha256:b4696fedc183f8c0be4a794f2dcad5c9b340babd7664161e6d50a7bf4e625cde"],"state_sha256":"7eff4f370fb64035e647dc0f7978507ee7c0ed3fd1748e980ebb47db57d5d842"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aTUtQxraz6ZDdXEH84wFZ7Ky2EFYdfb/C6XhPdQ/Pe7LvTcjRsHlaJTiLTlkM1YXHctwN1rws+JUL5jdTuzKAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:05:40.565900Z","bundle_sha256":"fbf8f9b0d752439d341f94c3997ee3f0bcec57b8703236e67716a41e42aad800"}}