{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:EJFDCKZF6JE4BXKEOPKSLVVFVU","short_pith_number":"pith:EJFDCKZF","schema_version":"1.0","canonical_sha256":"224a312b25f249c0dd4473d525d6a5ad3d686b7c3e41a69a005f706fc9da699e","source":{"kind":"arxiv","id":"2505.20008","version":1},"attestation_state":"computed","paper":{"title":"Critical dynamical fluctuations in reaction-diffusion processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Benoit Dagallier, Claudio Landim","submitted_at":"2025-05-26T13:58:40Z","abstract_excerpt":"We consider a one-dimensional microscopic reaction-diffusion process obtained as a superposition of a Glauber and a Kawasaki dynamics. The reaction term is tuned so that a dynamical phase transition occurs in the model as a suitable parameter is varied. We study dynamical fluctuations of the density field at the critical point.\n  We characterise the slowdown of the dynamics at criticality, and prove that this slowdown is induced by a single observable, the global density (or magnetisation). We show that magnetisation fluctuations are non-Gaussian and characterise their limit as the solution of"},"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":"2505.20008","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-05-26T13:58:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4dab29fcd2ef7ff267e3fc220af96c803304f0dad2a2772d8454a7b259dd1e95","abstract_canon_sha256":"c5ed3a042f11afe5c813e76402ff5b5319e445db756424ac262238d0e9868a56"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:09:51.117606Z","signature_b64":"IFhIEn2XYTffC10qmDcXJjLLh15PjqVOkptkU4hqewms+DhUrgwnGEdl8cEKb6tNgNK0jDtZH84oMSM3ByAfDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"224a312b25f249c0dd4473d525d6a5ad3d686b7c3e41a69a005f706fc9da699e","last_reissued_at":"2026-07-05T11:09:51.117192Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:09:51.117192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical dynamical fluctuations in reaction-diffusion processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Benoit Dagallier, Claudio Landim","submitted_at":"2025-05-26T13:58:40Z","abstract_excerpt":"We consider a one-dimensional microscopic reaction-diffusion process obtained as a superposition of a Glauber and a Kawasaki dynamics. The reaction term is tuned so that a dynamical phase transition occurs in the model as a suitable parameter is varied. We study dynamical fluctuations of the density field at the critical point.\n  We characterise the slowdown of the dynamics at criticality, and prove that this slowdown is induced by a single observable, the global density (or magnetisation). We show that magnetisation fluctuations are non-Gaussian and characterise their limit as the solution of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.20008","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.20008/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2505.20008","created_at":"2026-07-05T11:09:51.117245+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.20008v1","created_at":"2026-07-05T11:09:51.117245+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.20008","created_at":"2026-07-05T11:09:51.117245+00:00"},{"alias_kind":"pith_short_12","alias_value":"EJFDCKZF6JE4","created_at":"2026-07-05T11:09:51.117245+00:00"},{"alias_kind":"pith_short_16","alias_value":"EJFDCKZF6JE4BXKE","created_at":"2026-07-05T11:09:51.117245+00:00"},{"alias_kind":"pith_short_8","alias_value":"EJFDCKZF","created_at":"2026-07-05T11:09:51.117245+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/EJFDCKZF6JE4BXKEOPKSLVVFVU","json":"https://pith.science/pith/EJFDCKZF6JE4BXKEOPKSLVVFVU.json","graph_json":"https://pith.science/api/pith-number/EJFDCKZF6JE4BXKEOPKSLVVFVU/graph.json","events_json":"https://pith.science/api/pith-number/EJFDCKZF6JE4BXKEOPKSLVVFVU/events.json","paper":"https://pith.science/paper/EJFDCKZF"},"agent_actions":{"view_html":"https://pith.science/pith/EJFDCKZF6JE4BXKEOPKSLVVFVU","download_json":"https://pith.science/pith/EJFDCKZF6JE4BXKEOPKSLVVFVU.json","view_paper":"https://pith.science/paper/EJFDCKZF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.20008&json=true","fetch_graph":"https://pith.science/api/pith-number/EJFDCKZF6JE4BXKEOPKSLVVFVU/graph.json","fetch_events":"https://pith.science/api/pith-number/EJFDCKZF6JE4BXKEOPKSLVVFVU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EJFDCKZF6JE4BXKEOPKSLVVFVU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EJFDCKZF6JE4BXKEOPKSLVVFVU/action/storage_attestation","attest_author":"https://pith.science/pith/EJFDCKZF6JE4BXKEOPKSLVVFVU/action/author_attestation","sign_citation":"https://pith.science/pith/EJFDCKZF6JE4BXKEOPKSLVVFVU/action/citation_signature","submit_replication":"https://pith.science/pith/EJFDCKZF6JE4BXKEOPKSLVVFVU/action/replication_record"}},"created_at":"2026-07-05T11:09:51.117245+00:00","updated_at":"2026-07-05T11:09:51.117245+00:00"}