{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:WHDBVUKOPQXDWLXPHUBMKWMLKY","short_pith_number":"pith:WHDBVUKO","schema_version":"1.0","canonical_sha256":"b1c61ad14e7c2e3b2eef3d02c5598b562f43df28d6259346d1cc84f423ac3d0e","source":{"kind":"arxiv","id":"1804.09034","version":1},"attestation_state":"computed","paper":{"title":"A mixed multifractal formalism for finitely many non Gibbs Frostman-like measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.MG","authors_text":"Anouar Ben Mabrouk, Mohamed Menceur","submitted_at":"2018-04-21T15:05:04Z","abstract_excerpt":"The multifractal formalism for measures hold whenever the existence of corresponding Gibbs-like measures supported on the singularities sets holds. In the present work we tried to relax such a hypothesis and introduce a more general framework of mixed (and thus single) multifractal analysis where the measures constructed on the singularities sets are not Gibbs but controlled by an extra-function allowing the multifractal formalism to hold. We fall on the classical case by a particular choice of such a function."},"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":"1804.09034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2018-04-21T15:05:04Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"0e927b4cd1e861c0260dcfbf7f056b91e5ccd11151d2107f73077366ffc24b49","abstract_canon_sha256":"bddd3480716e36102c7ce04164c6b06aec193a9cf8b8f56aaf3db7cda457d2dd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:36.527299Z","signature_b64":"8EWaZVOw+OJYshwyRvifjAGLbjkUNIMUNPU9IiLGnbIjIm6ksYYqJ4738zd31ANZLpApnRmfTvTwQrjeXfWaCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1c61ad14e7c2e3b2eef3d02c5598b562f43df28d6259346d1cc84f423ac3d0e","last_reissued_at":"2026-05-18T00:17:36.526666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:36.526666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A mixed multifractal formalism for finitely many non Gibbs Frostman-like measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.MG","authors_text":"Anouar Ben Mabrouk, Mohamed Menceur","submitted_at":"2018-04-21T15:05:04Z","abstract_excerpt":"The multifractal formalism for measures hold whenever the existence of corresponding Gibbs-like measures supported on the singularities sets holds. In the present work we tried to relax such a hypothesis and introduce a more general framework of mixed (and thus single) multifractal analysis where the measures constructed on the singularities sets are not Gibbs but controlled by an extra-function allowing the multifractal formalism to hold. We fall on the classical case by a particular choice of such a function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.09034","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":""},"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":"1804.09034","created_at":"2026-05-18T00:17:36.526760+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.09034v1","created_at":"2026-05-18T00:17:36.526760+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.09034","created_at":"2026-05-18T00:17:36.526760+00:00"},{"alias_kind":"pith_short_12","alias_value":"WHDBVUKOPQXD","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"WHDBVUKOPQXDWLXP","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"WHDBVUKO","created_at":"2026-05-18T12:32:59.047623+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/WHDBVUKOPQXDWLXPHUBMKWMLKY","json":"https://pith.science/pith/WHDBVUKOPQXDWLXPHUBMKWMLKY.json","graph_json":"https://pith.science/api/pith-number/WHDBVUKOPQXDWLXPHUBMKWMLKY/graph.json","events_json":"https://pith.science/api/pith-number/WHDBVUKOPQXDWLXPHUBMKWMLKY/events.json","paper":"https://pith.science/paper/WHDBVUKO"},"agent_actions":{"view_html":"https://pith.science/pith/WHDBVUKOPQXDWLXPHUBMKWMLKY","download_json":"https://pith.science/pith/WHDBVUKOPQXDWLXPHUBMKWMLKY.json","view_paper":"https://pith.science/paper/WHDBVUKO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.09034&json=true","fetch_graph":"https://pith.science/api/pith-number/WHDBVUKOPQXDWLXPHUBMKWMLKY/graph.json","fetch_events":"https://pith.science/api/pith-number/WHDBVUKOPQXDWLXPHUBMKWMLKY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WHDBVUKOPQXDWLXPHUBMKWMLKY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WHDBVUKOPQXDWLXPHUBMKWMLKY/action/storage_attestation","attest_author":"https://pith.science/pith/WHDBVUKOPQXDWLXPHUBMKWMLKY/action/author_attestation","sign_citation":"https://pith.science/pith/WHDBVUKOPQXDWLXPHUBMKWMLKY/action/citation_signature","submit_replication":"https://pith.science/pith/WHDBVUKOPQXDWLXPHUBMKWMLKY/action/replication_record"}},"created_at":"2026-05-18T00:17:36.526760+00:00","updated_at":"2026-05-18T00:17:36.526760+00:00"}