{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:B3DAXBWBFVV44AQZFD5LGKHGYS","short_pith_number":"pith:B3DAXBWB","schema_version":"1.0","canonical_sha256":"0ec60b86c12d6bce021928fab328e6c4a4906c91264a62921859617a68d78568","source":{"kind":"arxiv","id":"1207.1582","version":2},"attestation_state":"computed","paper":{"title":"Gaussian multiplicative Chaos for symmetric isotropic matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Laurent Chevillard (Phys-ENS), R\\'emi Rhodes (CEREMADE), Vincent Vargas (CEREMADE)","submitted_at":"2012-07-06T11:01:36Z","abstract_excerpt":"Motivated by isotropic fully developed turbulence, we define a theory of symmetric matrix valued isotropic Gaussian multiplicative chaos. Our construction extends the scalar theory developed by J.P. Kahane in 1985."},"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":"1207.1582","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-07-06T11:01:36Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"bed74154588114aec92a28a54752f88ca4b2ea3199c250a57f3ffbd5765a6b46","abstract_canon_sha256":"f8c7017f506329ae435bad15bf2066b761300e9b9a66bdccbb6a3134483d37ae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:33.809457Z","signature_b64":"wzYNz7lcMILuy1L8M9T8FImUWTCxHi8nmQK2II8N6dn38fHD4E41YYGi+z0LXUvl8SeSexnEmBnfMukeYOLpCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ec60b86c12d6bce021928fab328e6c4a4906c91264a62921859617a68d78568","last_reissued_at":"2026-05-18T01:56:33.808907Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:33.808907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gaussian multiplicative Chaos for symmetric isotropic matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Laurent Chevillard (Phys-ENS), R\\'emi Rhodes (CEREMADE), Vincent Vargas (CEREMADE)","submitted_at":"2012-07-06T11:01:36Z","abstract_excerpt":"Motivated by isotropic fully developed turbulence, we define a theory of symmetric matrix valued isotropic Gaussian multiplicative chaos. Our construction extends the scalar theory developed by J.P. Kahane in 1985."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1582","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":"1207.1582","created_at":"2026-05-18T01:56:33.808992+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.1582v2","created_at":"2026-05-18T01:56:33.808992+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1582","created_at":"2026-05-18T01:56:33.808992+00:00"},{"alias_kind":"pith_short_12","alias_value":"B3DAXBWBFVV4","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"B3DAXBWBFVV44AQZ","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"B3DAXBWB","created_at":"2026-05-18T12:26:58.693483+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/B3DAXBWBFVV44AQZFD5LGKHGYS","json":"https://pith.science/pith/B3DAXBWBFVV44AQZFD5LGKHGYS.json","graph_json":"https://pith.science/api/pith-number/B3DAXBWBFVV44AQZFD5LGKHGYS/graph.json","events_json":"https://pith.science/api/pith-number/B3DAXBWBFVV44AQZFD5LGKHGYS/events.json","paper":"https://pith.science/paper/B3DAXBWB"},"agent_actions":{"view_html":"https://pith.science/pith/B3DAXBWBFVV44AQZFD5LGKHGYS","download_json":"https://pith.science/pith/B3DAXBWBFVV44AQZFD5LGKHGYS.json","view_paper":"https://pith.science/paper/B3DAXBWB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.1582&json=true","fetch_graph":"https://pith.science/api/pith-number/B3DAXBWBFVV44AQZFD5LGKHGYS/graph.json","fetch_events":"https://pith.science/api/pith-number/B3DAXBWBFVV44AQZFD5LGKHGYS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B3DAXBWBFVV44AQZFD5LGKHGYS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B3DAXBWBFVV44AQZFD5LGKHGYS/action/storage_attestation","attest_author":"https://pith.science/pith/B3DAXBWBFVV44AQZFD5LGKHGYS/action/author_attestation","sign_citation":"https://pith.science/pith/B3DAXBWBFVV44AQZFD5LGKHGYS/action/citation_signature","submit_replication":"https://pith.science/pith/B3DAXBWBFVV44AQZFD5LGKHGYS/action/replication_record"}},"created_at":"2026-05-18T01:56:33.808992+00:00","updated_at":"2026-05-18T01:56:33.808992+00:00"}