{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:T52YO37FVIUJRIA7XSH6VAB77J","short_pith_number":"pith:T52YO37F","schema_version":"1.0","canonical_sha256":"9f75876fe5aa2898a01fbc8fea803ffa489e4eac7d6b57707ab9a94b24500398","source":{"kind":"arxiv","id":"1502.05609","version":1},"attestation_state":"computed","paper":{"title":"Micromeasure distributions and applications for conformally generated fractals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.DS","authors_text":"Jonathan M. Fraser, Mark Pollicott","submitted_at":"2015-02-19T16:05:49Z","abstract_excerpt":"We study the scaling scenery of Gibbs measures for subshifts of finite type on self-conformal fractals and applications to Falconer's distance set problem and dimensions of projections. Our analysis includes hyperbolic Julia sets, limit sets of Schottky groups and graph-directed self-similar sets."},"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":"1502.05609","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-02-19T16:05:49Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"a582a1a4d2cf0f5c23e8cd90a4b5de6208f601c6d8222f1794a0ce323db8e206","abstract_canon_sha256":"093f6abbc4affc69f09a268a147ac2b218b7a40efa801d9b5f1260de9a523b5d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:03.186335Z","signature_b64":"kYTaIAJGdLNdN2Iv5SgLi5El2r+o6KpuJmGg9qGabmRMK2cc7vFL2lCbl5DCKmVZJeM+lNQEZCCBUNUap7bdBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f75876fe5aa2898a01fbc8fea803ffa489e4eac7d6b57707ab9a94b24500398","last_reissued_at":"2026-05-18T01:29:03.185821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:03.185821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Micromeasure distributions and applications for conformally generated fractals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.DS","authors_text":"Jonathan M. Fraser, Mark Pollicott","submitted_at":"2015-02-19T16:05:49Z","abstract_excerpt":"We study the scaling scenery of Gibbs measures for subshifts of finite type on self-conformal fractals and applications to Falconer's distance set problem and dimensions of projections. Our analysis includes hyperbolic Julia sets, limit sets of Schottky groups and graph-directed self-similar sets."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05609","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":"1502.05609","created_at":"2026-05-18T01:29:03.185900+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.05609v1","created_at":"2026-05-18T01:29:03.185900+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05609","created_at":"2026-05-18T01:29:03.185900+00:00"},{"alias_kind":"pith_short_12","alias_value":"T52YO37FVIUJ","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"T52YO37FVIUJRIA7","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"T52YO37F","created_at":"2026-05-18T12:29:42.218222+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/T52YO37FVIUJRIA7XSH6VAB77J","json":"https://pith.science/pith/T52YO37FVIUJRIA7XSH6VAB77J.json","graph_json":"https://pith.science/api/pith-number/T52YO37FVIUJRIA7XSH6VAB77J/graph.json","events_json":"https://pith.science/api/pith-number/T52YO37FVIUJRIA7XSH6VAB77J/events.json","paper":"https://pith.science/paper/T52YO37F"},"agent_actions":{"view_html":"https://pith.science/pith/T52YO37FVIUJRIA7XSH6VAB77J","download_json":"https://pith.science/pith/T52YO37FVIUJRIA7XSH6VAB77J.json","view_paper":"https://pith.science/paper/T52YO37F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.05609&json=true","fetch_graph":"https://pith.science/api/pith-number/T52YO37FVIUJRIA7XSH6VAB77J/graph.json","fetch_events":"https://pith.science/api/pith-number/T52YO37FVIUJRIA7XSH6VAB77J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T52YO37FVIUJRIA7XSH6VAB77J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T52YO37FVIUJRIA7XSH6VAB77J/action/storage_attestation","attest_author":"https://pith.science/pith/T52YO37FVIUJRIA7XSH6VAB77J/action/author_attestation","sign_citation":"https://pith.science/pith/T52YO37FVIUJRIA7XSH6VAB77J/action/citation_signature","submit_replication":"https://pith.science/pith/T52YO37FVIUJRIA7XSH6VAB77J/action/replication_record"}},"created_at":"2026-05-18T01:29:03.185900+00:00","updated_at":"2026-05-18T01:29:03.185900+00:00"}