{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:PN6WDAV4ISDARNEFCIC6HFDM2F","short_pith_number":"pith:PN6WDAV4","schema_version":"1.0","canonical_sha256":"7b7d6182bc448608b4851205e3946cd145d4fda786a10bf0c29081bfceb63ef4","source":{"kind":"arxiv","id":"1803.07470","version":1},"attestation_state":"computed","paper":{"title":"Finding Dynamics for Fractals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Ejaily Milad Alejaily, Marat Akhmet, Mehmet Onur Fen","submitted_at":"2018-03-20T15:01:38Z","abstract_excerpt":"The famous Laplace's Demon is not only of strict physical determinism, but also related to the power of differential equations. When deterministically extended structures are taken into consideration, it is admissible that fractals are dense both in the nature and in the dynamics. In particular, this is true because fractal structures are closely related to chaos. This implies that dynamics have to be an instrument of the extension. Oppositely, one can animate the arguments for the Demon if dynamics will be investigated with fractals. To make advances in the direction, first of all, one should"},"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":"1803.07470","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-03-20T15:01:38Z","cross_cats_sorted":[],"title_canon_sha256":"c51c38761a0d34066d8969309321040a39c8334f921237e4b56bdb7a9cf5b2e7","abstract_canon_sha256":"d50596ea26f0925b8e6fbc3640a9c113f835025146e774bcdc17bcb79af24e73"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:33.090354Z","signature_b64":"9MS0pwf9ICkkxxILIXSH5OVJya0cAh0usNyyC7hgY8jGJSSpjoGbE9ML1kKujfiXC5o4hSSh/MHne2HPko60Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b7d6182bc448608b4851205e3946cd145d4fda786a10bf0c29081bfceb63ef4","last_reissued_at":"2026-05-18T00:20:33.089593Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:33.089593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finding Dynamics for Fractals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Ejaily Milad Alejaily, Marat Akhmet, Mehmet Onur Fen","submitted_at":"2018-03-20T15:01:38Z","abstract_excerpt":"The famous Laplace's Demon is not only of strict physical determinism, but also related to the power of differential equations. When deterministically extended structures are taken into consideration, it is admissible that fractals are dense both in the nature and in the dynamics. In particular, this is true because fractal structures are closely related to chaos. This implies that dynamics have to be an instrument of the extension. Oppositely, one can animate the arguments for the Demon if dynamics will be investigated with fractals. To make advances in the direction, first of all, one should"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.07470","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":"1803.07470","created_at":"2026-05-18T00:20:33.089682+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.07470v1","created_at":"2026-05-18T00:20:33.089682+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.07470","created_at":"2026-05-18T00:20:33.089682+00:00"},{"alias_kind":"pith_short_12","alias_value":"PN6WDAV4ISDA","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"PN6WDAV4ISDARNEF","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"PN6WDAV4","created_at":"2026-05-18T12:32:46.962924+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/PN6WDAV4ISDARNEFCIC6HFDM2F","json":"https://pith.science/pith/PN6WDAV4ISDARNEFCIC6HFDM2F.json","graph_json":"https://pith.science/api/pith-number/PN6WDAV4ISDARNEFCIC6HFDM2F/graph.json","events_json":"https://pith.science/api/pith-number/PN6WDAV4ISDARNEFCIC6HFDM2F/events.json","paper":"https://pith.science/paper/PN6WDAV4"},"agent_actions":{"view_html":"https://pith.science/pith/PN6WDAV4ISDARNEFCIC6HFDM2F","download_json":"https://pith.science/pith/PN6WDAV4ISDARNEFCIC6HFDM2F.json","view_paper":"https://pith.science/paper/PN6WDAV4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.07470&json=true","fetch_graph":"https://pith.science/api/pith-number/PN6WDAV4ISDARNEFCIC6HFDM2F/graph.json","fetch_events":"https://pith.science/api/pith-number/PN6WDAV4ISDARNEFCIC6HFDM2F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PN6WDAV4ISDARNEFCIC6HFDM2F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PN6WDAV4ISDARNEFCIC6HFDM2F/action/storage_attestation","attest_author":"https://pith.science/pith/PN6WDAV4ISDARNEFCIC6HFDM2F/action/author_attestation","sign_citation":"https://pith.science/pith/PN6WDAV4ISDARNEFCIC6HFDM2F/action/citation_signature","submit_replication":"https://pith.science/pith/PN6WDAV4ISDARNEFCIC6HFDM2F/action/replication_record"}},"created_at":"2026-05-18T00:20:33.089682+00:00","updated_at":"2026-05-18T00:20:33.089682+00:00"}