{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:FJTVIEZN4DB4Z6LU535FKUULAA","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":"cf39249bf885bcfc1b0d046909cccc332a3625cdcf6c96e3f7aee5f0c21f0fd3","cross_cats_sorted":["cond-mat","cond-mat.stat-mech","hep-lat","math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"2001-07-13T16:40:00Z","title_canon_sha256":"09ecb1c6d24ab0f3f343ad53aaf70e515e9f88ff185b151a96861ad969961d53"},"schema_version":"1.0","source":{"id":"hep-th/0107122","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0107122","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0107122v2","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0107122","created_at":"2026-05-18T03:42:56Z"},{"alias_kind":"pith_short_12","alias_value":"FJTVIEZN4DB4","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"FJTVIEZN4DB4Z6LU","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"FJTVIEZN","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:4ad986100565fc792c061e7970710f7aceb939ea9ad0cdd2927c204ecb5c6fdb","target":"graph","created_at":"2026-05-18T03:42:56Z","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":"In a variety of systems which exhibit aging, the two-time response function scales as $R(t,s)\\approx s^{-1-a} f(t/s)$. We argue that dynamical scaling can be extended towards conformal invariance, obtaining thus the explicit form of the scaling function $f$. This quantitative prediction is confirmed in several spin systems, both for $T<T_c$ (phase ordering) and $T=T_c$ (non-equilibrium critical dynamics). The 2D and 3D Ising models with Glauber dynamics are studied numerically, while exact results are available for the spherical model with a non-conserved order parameter, both for short-ranged","authors_text":"Claude Godreche, Jean-Marc Luck, Malte Henkel, Michel Pleimling","cross_cats":["cond-mat","cond-mat.stat-mech","hep-lat","math-ph","math.MP"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-07-13T16:40:00Z","title":"Aging, phase ordering and conformal invariance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0107122","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":"sha256:7feae08591276b4712600ca5ad56801a2a7bf4076e790c2889a5ebcd961f480a","target":"record","created_at":"2026-05-18T03:42:56Z","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":"cf39249bf885bcfc1b0d046909cccc332a3625cdcf6c96e3f7aee5f0c21f0fd3","cross_cats_sorted":["cond-mat","cond-mat.stat-mech","hep-lat","math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"2001-07-13T16:40:00Z","title_canon_sha256":"09ecb1c6d24ab0f3f343ad53aaf70e515e9f88ff185b151a96861ad969961d53"},"schema_version":"1.0","source":{"id":"hep-th/0107122","kind":"arxiv","version":2}},"canonical_sha256":"2a6754132de0c3ccf974eefa55528b001281600c18978bb7b98b93195ea0c075","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a6754132de0c3ccf974eefa55528b001281600c18978bb7b98b93195ea0c075","first_computed_at":"2026-05-18T03:42:56.100759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:56.100759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dLwnusfJ/VJEq7nJMMMkQ6/6iboe7cTUo3HRauGemQTGzyAKZAbaxaWdlxeLmsDr9DP98xmJA3CvEsk0gyujBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:56.101432Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0107122","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7feae08591276b4712600ca5ad56801a2a7bf4076e790c2889a5ebcd961f480a","sha256:4ad986100565fc792c061e7970710f7aceb939ea9ad0cdd2927c204ecb5c6fdb"],"state_sha256":"ddacc3621004075248f4a842190736b91415d8a7130c4b728059d7108bb6250d"}