{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RGQR2JZMF226FQ6XFBQBLSO6CF","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":"44046707d89a31b1e47394b26942d031ae78f6a4fa8c31e43d42d8e5fd1c1a30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-08-30T04:26:49Z","title_canon_sha256":"4d2be7d9ab6dbe87ec2af434e940fc78830be0cc8eab4e04829d806fd3d61bff"},"schema_version":"1.0","source":{"id":"1308.6648","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6648","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6648v1","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6648","created_at":"2026-05-18T03:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"RGQR2JZMF226","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RGQR2JZMF226FQ6X","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RGQR2JZM","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:8cbec7e3377bcdb9822b3cc5e1adea56dd3d94cb26c166171cacd6799deb1add","target":"graph","created_at":"2026-05-18T03:14:38Z","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":"We present some work relating to fractal transformations on masked iterated function systems and demonstrate how well known algorithms for generating fractal transformations can be modifed for these systems. We also demonstrate that these algorithms work equally well when applied to three dimensional data sets and suggest some possible applications to special effects and modelling.","authors_text":"Brendan Harding, Michael Barnsley","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-08-30T04:26:49Z","title":"Fractal Transformations in 2 and 3 Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6648","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:f134546b97f069798a59554eeddde7083c1ea1ec5ecdb8227ad951aea4830fe1","target":"record","created_at":"2026-05-18T03:14:38Z","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":"44046707d89a31b1e47394b26942d031ae78f6a4fa8c31e43d42d8e5fd1c1a30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-08-30T04:26:49Z","title_canon_sha256":"4d2be7d9ab6dbe87ec2af434e940fc78830be0cc8eab4e04829d806fd3d61bff"},"schema_version":"1.0","source":{"id":"1308.6648","kind":"arxiv","version":1}},"canonical_sha256":"89a11d272c2eb5e2c3d7286015c9de115645f1ae0fab064d7023f0df206ccbc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89a11d272c2eb5e2c3d7286015c9de115645f1ae0fab064d7023f0df206ccbc4","first_computed_at":"2026-05-18T03:14:38.513442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:38.513442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xvvTLGnKW1uyVw2UPfItuT7YLEAPV2aw4mG/ww/YDGgzgN00sWeFafee4karKvekAcZ3fAIcITSyEVa8af23DA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:38.514068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.6648","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f134546b97f069798a59554eeddde7083c1ea1ec5ecdb8227ad951aea4830fe1","sha256:8cbec7e3377bcdb9822b3cc5e1adea56dd3d94cb26c166171cacd6799deb1add"],"state_sha256":"6e6aea52911a2a85ac966d3a7dc89c2d4e1734e5b6b54bae9e200d68c8752592"}