{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6FZU7DOKX7BEI7MIO5CKFZKTA4","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":"a9f176501a85d29eba35b6e193e640b30413b29ddd568aa3680cdb43b867f097","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-15T14:54:29Z","title_canon_sha256":"0c2b1836947f6451be5bc3fff1bddcb5d83adb6afc9b219dd300127ce4684c71"},"schema_version":"1.0","source":{"id":"1205.3400","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3400","created_at":"2026-05-18T03:45:55Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3400v2","created_at":"2026-05-18T03:45:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3400","created_at":"2026-05-18T03:45:55Z"},{"alias_kind":"pith_short_12","alias_value":"6FZU7DOKX7BE","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6FZU7DOKX7BEI7MI","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6FZU7DOK","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:5d59f904de2bed5248759790c2cab07681a69e2958e9dc19970080ea0273cd49","target":"graph","created_at":"2026-05-18T03:45:55Z","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":"Quantum critical systems with multiple dynamics possess not only one but several time scales, tau_i ~ xi^(z_i), which diverge with the correlation length xi. We investigate how scaling predictions are modified for the simplest case of multiple dynamics characterized by two dynamical critical exponents, z_> and z_<. We argue that one should distinguish the case of coupled and decoupled multiple dynamic scaling depending on whether there exists a scaling exponent which depends on both z_i or not. As an example, we study generalized Phi^4-theories with multiple dynamics below their upper critical","authors_text":"Achim Rosch, Markus Garst, Tobias Meng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-15T14:54:29Z","title":"Quantum criticality with multiple dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3400","kind":"arxiv","version":2},"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:ec3714956184f0d1411ae42d5b10a882c1e55e599fa21ab3aec5c56656794ca7","target":"record","created_at":"2026-05-18T03:45:55Z","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":"a9f176501a85d29eba35b6e193e640b30413b29ddd568aa3680cdb43b867f097","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-05-15T14:54:29Z","title_canon_sha256":"0c2b1836947f6451be5bc3fff1bddcb5d83adb6afc9b219dd300127ce4684c71"},"schema_version":"1.0","source":{"id":"1205.3400","kind":"arxiv","version":2}},"canonical_sha256":"f1734f8dcabfc2447d887744a2e5530722a19d636735960616f99d37fe600699","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1734f8dcabfc2447d887744a2e5530722a19d636735960616f99d37fe600699","first_computed_at":"2026-05-18T03:45:55.263459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:55.263459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WAf5YSk757VbEQV0sVbsX3LdkF0HZ+rXrDyQBaL+uVDrZxH8gDGvvhz3dTl/c4L/5mKbxSePzO/M6Gx5MYRfCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:55.264077Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3400","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec3714956184f0d1411ae42d5b10a882c1e55e599fa21ab3aec5c56656794ca7","sha256:5d59f904de2bed5248759790c2cab07681a69e2958e9dc19970080ea0273cd49"],"state_sha256":"e1a9bc7bf086ae75b0e740f79d1e020d1cc0339403fd4d86cc5fe371579e969a"}