{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2J5UA5DLINPUPZDRC3TT4R6SID","short_pith_number":"pith:2J5UA5DL","schema_version":"1.0","canonical_sha256":"d27b40746b435f47e47116e73e47d240dbfcb86e16dc5229caf1cf86b9094370","source":{"kind":"arxiv","id":"1501.05770","version":2},"attestation_state":"computed","paper":{"title":"Activated dynamic scaling in the random-field Ising model: a nonperturbative functional renormalization group approach","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Gilles Tarjus, Ivan Balog","submitted_at":"2015-01-23T11:21:32Z","abstract_excerpt":"The random-field Ising model shows extreme critical slowdown that has been described by activated dynamic scaling: the characteristic time for the relaxation to equilibrium diverges exponentially with the correlation length, $\\ln \\tau\\sim \\xi^\\psi/T$ , with $\\psi$ an \\textit{a priori} unknown barrier exponent. Through a nonperturbative functional renormalization group, we show that for spatial dimensions $d$ less than a critical value $d_{DR} \\simeq 5.1$, also associated with dimensional-reduction breakdown, $\\psi=\\theta$ with $\\theta$ the temperature exponent near the zero-temperature fixed p"},"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":"1501.05770","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-23T11:21:32Z","cross_cats_sorted":[],"title_canon_sha256":"3edc23ece3db3dcebcd3854bbf55c68a1d9da4d52c3ecb40a38b4e6309004781","abstract_canon_sha256":"29dee8bd419777cc31adfd84f468217e708bf80d65d2c64dbf13d4b7f0c08e5c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:07.450627Z","signature_b64":"9jdNA+DTGxomu+zkcSj6k6oac1iZwJ3HDHidQCrmEfwqQCuUa2RIo9ZTYAGZ6bVdmUSwXlGuPabQDTc4UIjMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d27b40746b435f47e47116e73e47d240dbfcb86e16dc5229caf1cf86b9094370","last_reissued_at":"2026-05-18T00:33:07.449911Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:07.449911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Activated dynamic scaling in the random-field Ising model: a nonperturbative functional renormalization group approach","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Gilles Tarjus, Ivan Balog","submitted_at":"2015-01-23T11:21:32Z","abstract_excerpt":"The random-field Ising model shows extreme critical slowdown that has been described by activated dynamic scaling: the characteristic time for the relaxation to equilibrium diverges exponentially with the correlation length, $\\ln \\tau\\sim \\xi^\\psi/T$ , with $\\psi$ an \\textit{a priori} unknown barrier exponent. Through a nonperturbative functional renormalization group, we show that for spatial dimensions $d$ less than a critical value $d_{DR} \\simeq 5.1$, also associated with dimensional-reduction breakdown, $\\psi=\\theta$ with $\\theta$ the temperature exponent near the zero-temperature fixed p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05770","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":""},"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":"1501.05770","created_at":"2026-05-18T00:33:07.450033+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.05770v2","created_at":"2026-05-18T00:33:07.450033+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.05770","created_at":"2026-05-18T00:33:07.450033+00:00"},{"alias_kind":"pith_short_12","alias_value":"2J5UA5DLINPU","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"2J5UA5DLINPUPZDR","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"2J5UA5DL","created_at":"2026-05-18T12:28:59.999130+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2J5UA5DLINPUPZDRC3TT4R6SID","json":"https://pith.science/pith/2J5UA5DLINPUPZDRC3TT4R6SID.json","graph_json":"https://pith.science/api/pith-number/2J5UA5DLINPUPZDRC3TT4R6SID/graph.json","events_json":"https://pith.science/api/pith-number/2J5UA5DLINPUPZDRC3TT4R6SID/events.json","paper":"https://pith.science/paper/2J5UA5DL"},"agent_actions":{"view_html":"https://pith.science/pith/2J5UA5DLINPUPZDRC3TT4R6SID","download_json":"https://pith.science/pith/2J5UA5DLINPUPZDRC3TT4R6SID.json","view_paper":"https://pith.science/paper/2J5UA5DL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.05770&json=true","fetch_graph":"https://pith.science/api/pith-number/2J5UA5DLINPUPZDRC3TT4R6SID/graph.json","fetch_events":"https://pith.science/api/pith-number/2J5UA5DLINPUPZDRC3TT4R6SID/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2J5UA5DLINPUPZDRC3TT4R6SID/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2J5UA5DLINPUPZDRC3TT4R6SID/action/storage_attestation","attest_author":"https://pith.science/pith/2J5UA5DLINPUPZDRC3TT4R6SID/action/author_attestation","sign_citation":"https://pith.science/pith/2J5UA5DLINPUPZDRC3TT4R6SID/action/citation_signature","submit_replication":"https://pith.science/pith/2J5UA5DLINPUPZDRC3TT4R6SID/action/replication_record"}},"created_at":"2026-05-18T00:33:07.450033+00:00","updated_at":"2026-05-18T00:33:07.450033+00:00"}