{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WHDBVUKOPQXDWLXPHUBMKWMLKY","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":"bddd3480716e36102c7ce04164c6b06aec193a9cf8b8f56aaf3db7cda457d2dd","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2018-04-21T15:05:04Z","title_canon_sha256":"0e927b4cd1e861c0260dcfbf7f056b91e5ccd11151d2107f73077366ffc24b49"},"schema_version":"1.0","source":{"id":"1804.09034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.09034","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"arxiv_version","alias_value":"1804.09034v1","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.09034","created_at":"2026-05-18T00:17:36Z"},{"alias_kind":"pith_short_12","alias_value":"WHDBVUKOPQXD","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WHDBVUKOPQXDWLXP","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WHDBVUKO","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:22b1ec1749170e30b573c9740e6b508a82846d4d289f6d3a1bc4de43dfda0146","target":"graph","created_at":"2026-05-18T00:17:36Z","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":"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.","authors_text":"Anouar Ben Mabrouk, Mohamed Menceur","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2018-04-21T15:05:04Z","title":"A mixed multifractal formalism for finitely many non Gibbs Frostman-like measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.09034","kind":"arxiv","version":1},"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:a1c28f645998fd43260b8ba8aa7ba11d935cb1c236bb7636a67643ae3dff23c8","target":"record","created_at":"2026-05-18T00:17:36Z","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":"bddd3480716e36102c7ce04164c6b06aec193a9cf8b8f56aaf3db7cda457d2dd","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2018-04-21T15:05:04Z","title_canon_sha256":"0e927b4cd1e861c0260dcfbf7f056b91e5ccd11151d2107f73077366ffc24b49"},"schema_version":"1.0","source":{"id":"1804.09034","kind":"arxiv","version":1}},"canonical_sha256":"b1c61ad14e7c2e3b2eef3d02c5598b562f43df28d6259346d1cc84f423ac3d0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1c61ad14e7c2e3b2eef3d02c5598b562f43df28d6259346d1cc84f423ac3d0e","first_computed_at":"2026-05-18T00:17:36.526666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:36.526666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8EWaZVOw+OJYshwyRvifjAGLbjkUNIMUNPU9IiLGnbIjIm6ksYYqJ4738zd31ANZLpApnRmfTvTwQrjeXfWaCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:36.527299Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.09034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1c28f645998fd43260b8ba8aa7ba11d935cb1c236bb7636a67643ae3dff23c8","sha256:22b1ec1749170e30b573c9740e6b508a82846d4d289f6d3a1bc4de43dfda0146"],"state_sha256":"93259363129e425d665d726cab2a55885edf7d19a2890d3680bc0e2472e5c899"}