{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:2IG7DOFGMJVFPDGQWH4NMXGZB3","short_pith_number":"pith:2IG7DOFG","schema_version":"1.0","canonical_sha256":"d20df1b8a6626a578cd0b1f8d65cd90edb6401985cf91539b7d5a67b45c278f7","source":{"kind":"arxiv","id":"math-ph/0305022","version":1},"attestation_state":"computed","paper":{"title":"Scale-local dimensions of strange attractors","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"J.G. Reid, T.A. Trainor","submitted_at":"2003-05-09T19:57:51Z","abstract_excerpt":"We compare limit-based and scale-local dimensions of complex distributions, particularly for a strange attractor of the Henon map. Scale-local dimensions as distributions on scale are seen to exhibit a wealth of detail. Limit-based dimensions are shown to be averages of scale-local dimensions, in principle over a semi-infinite scale interval. We identify some critical questions of definition for practical dimension analysis of arbitrary distributions on bounded scale intervals."},"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":"math-ph/0305022","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2003-05-09T19:57:51Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"01fec61e23ec1c913f0d8f417a33b4bbe2b98fc45e89e322b6c52c549bb92b6a","abstract_canon_sha256":"45a7734131f3223ec5ef6b51593d2dda84a4def46331410e5a9b404e1357307a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:33:55.362804Z","signature_b64":"GKvP+T3r0YuMXO1HJXfSyjYRWccEm37ivZJpiHlOYweTs3Az7yOsqFymbmgdLGT3f7A5KFviWb1ybPpftkjQBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d20df1b8a6626a578cd0b1f8d65cd90edb6401985cf91539b7d5a67b45c278f7","last_reissued_at":"2026-07-04T14:33:55.362402Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:33:55.362402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scale-local dimensions of strange attractors","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"J.G. Reid, T.A. Trainor","submitted_at":"2003-05-09T19:57:51Z","abstract_excerpt":"We compare limit-based and scale-local dimensions of complex distributions, particularly for a strange attractor of the Henon map. Scale-local dimensions as distributions on scale are seen to exhibit a wealth of detail. Limit-based dimensions are shown to be averages of scale-local dimensions, in principle over a semi-infinite scale interval. We identify some critical questions of definition for practical dimension analysis of arbitrary distributions on bounded scale intervals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0305022","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/math-ph/0305022/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":"math-ph/0305022","created_at":"2026-07-04T14:33:55.362461+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0305022v1","created_at":"2026-07-04T14:33:55.362461+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0305022","created_at":"2026-07-04T14:33:55.362461+00:00"},{"alias_kind":"pith_short_12","alias_value":"2IG7DOFGMJVF","created_at":"2026-07-04T14:33:55.362461+00:00"},{"alias_kind":"pith_short_16","alias_value":"2IG7DOFGMJVFPDGQ","created_at":"2026-07-04T14:33:55.362461+00:00"},{"alias_kind":"pith_short_8","alias_value":"2IG7DOFG","created_at":"2026-07-04T14:33:55.362461+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/2IG7DOFGMJVFPDGQWH4NMXGZB3","json":"https://pith.science/pith/2IG7DOFGMJVFPDGQWH4NMXGZB3.json","graph_json":"https://pith.science/api/pith-number/2IG7DOFGMJVFPDGQWH4NMXGZB3/graph.json","events_json":"https://pith.science/api/pith-number/2IG7DOFGMJVFPDGQWH4NMXGZB3/events.json","paper":"https://pith.science/paper/2IG7DOFG"},"agent_actions":{"view_html":"https://pith.science/pith/2IG7DOFGMJVFPDGQWH4NMXGZB3","download_json":"https://pith.science/pith/2IG7DOFGMJVFPDGQWH4NMXGZB3.json","view_paper":"https://pith.science/paper/2IG7DOFG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0305022&json=true","fetch_graph":"https://pith.science/api/pith-number/2IG7DOFGMJVFPDGQWH4NMXGZB3/graph.json","fetch_events":"https://pith.science/api/pith-number/2IG7DOFGMJVFPDGQWH4NMXGZB3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2IG7DOFGMJVFPDGQWH4NMXGZB3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2IG7DOFGMJVFPDGQWH4NMXGZB3/action/storage_attestation","attest_author":"https://pith.science/pith/2IG7DOFGMJVFPDGQWH4NMXGZB3/action/author_attestation","sign_citation":"https://pith.science/pith/2IG7DOFGMJVFPDGQWH4NMXGZB3/action/citation_signature","submit_replication":"https://pith.science/pith/2IG7DOFGMJVFPDGQWH4NMXGZB3/action/replication_record"}},"created_at":"2026-07-04T14:33:55.362461+00:00","updated_at":"2026-07-04T14:33:55.362461+00:00"}