{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:HMNTUTJKCCTCA67OHLYZCPDCOW","short_pith_number":"pith:HMNTUTJK","schema_version":"1.0","canonical_sha256":"3b1b3a4d2a10a6207bee3af1913c6275ae22648f08181f8f39e7b8b08320a298","source":{"kind":"arxiv","id":"1504.02010","version":1},"attestation_state":"computed","paper":{"title":"A Chaotic Dynamical System that Paints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"nlin.CD","authors_text":"Amit Surana, George Mathew, Tuhin Sahai","submitted_at":"2015-04-08T15:41:30Z","abstract_excerpt":"Can a dynamical system paint masterpieces such as Da Vinci's Mona Lisa or Monet's Water Lilies? Moreover, can this dynamical system be chaotic in the sense that although the trajectories are sensitive to initial conditions, the same painting is created every time? Setting aside the creative aspect of painting a picture, in this work, we develop a novel algorithm to reproduce paintings and photographs. Combining ideas from ergodic theory and control theory, we construct a chaotic dynamical system with predetermined statistical properties. If one makes the spatial distribution of colors in the p"},"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":"1504.02010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-04-08T15:41:30Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"29ff867c5bed41fb87174242dcac42056731589ed27ea818f7cb69fe45d44448","abstract_canon_sha256":"4d9f18773718e6203cff99b947b4f38cd6949ff30d69b24ff011675fe53d6d59"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:17.494714Z","signature_b64":"gg3LoqGD/qeYT1L3/FDzIyRSl9gUhZszOx3O3RlB2D2UjF4ZT76kx+afE1bvE+1BZSMmrtPmyJHGg6KBE/xMCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b1b3a4d2a10a6207bee3af1913c6275ae22648f08181f8f39e7b8b08320a298","last_reissued_at":"2026-05-18T02:19:17.494016Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:17.494016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Chaotic Dynamical System that Paints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"nlin.CD","authors_text":"Amit Surana, George Mathew, Tuhin Sahai","submitted_at":"2015-04-08T15:41:30Z","abstract_excerpt":"Can a dynamical system paint masterpieces such as Da Vinci's Mona Lisa or Monet's Water Lilies? Moreover, can this dynamical system be chaotic in the sense that although the trajectories are sensitive to initial conditions, the same painting is created every time? Setting aside the creative aspect of painting a picture, in this work, we develop a novel algorithm to reproduce paintings and photographs. Combining ideas from ergodic theory and control theory, we construct a chaotic dynamical system with predetermined statistical properties. If one makes the spatial distribution of colors in the p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02010","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":"1504.02010","created_at":"2026-05-18T02:19:17.494121+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.02010v1","created_at":"2026-05-18T02:19:17.494121+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02010","created_at":"2026-05-18T02:19:17.494121+00:00"},{"alias_kind":"pith_short_12","alias_value":"HMNTUTJKCCTC","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"HMNTUTJKCCTCA67O","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"HMNTUTJK","created_at":"2026-05-18T12:29:25.134429+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/HMNTUTJKCCTCA67OHLYZCPDCOW","json":"https://pith.science/pith/HMNTUTJKCCTCA67OHLYZCPDCOW.json","graph_json":"https://pith.science/api/pith-number/HMNTUTJKCCTCA67OHLYZCPDCOW/graph.json","events_json":"https://pith.science/api/pith-number/HMNTUTJKCCTCA67OHLYZCPDCOW/events.json","paper":"https://pith.science/paper/HMNTUTJK"},"agent_actions":{"view_html":"https://pith.science/pith/HMNTUTJKCCTCA67OHLYZCPDCOW","download_json":"https://pith.science/pith/HMNTUTJKCCTCA67OHLYZCPDCOW.json","view_paper":"https://pith.science/paper/HMNTUTJK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.02010&json=true","fetch_graph":"https://pith.science/api/pith-number/HMNTUTJKCCTCA67OHLYZCPDCOW/graph.json","fetch_events":"https://pith.science/api/pith-number/HMNTUTJKCCTCA67OHLYZCPDCOW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HMNTUTJKCCTCA67OHLYZCPDCOW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HMNTUTJKCCTCA67OHLYZCPDCOW/action/storage_attestation","attest_author":"https://pith.science/pith/HMNTUTJKCCTCA67OHLYZCPDCOW/action/author_attestation","sign_citation":"https://pith.science/pith/HMNTUTJKCCTCA67OHLYZCPDCOW/action/citation_signature","submit_replication":"https://pith.science/pith/HMNTUTJKCCTCA67OHLYZCPDCOW/action/replication_record"}},"created_at":"2026-05-18T02:19:17.494121+00:00","updated_at":"2026-05-18T02:19:17.494121+00:00"}