{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:TVDDIAAIJZT5KKGIVTNPDKO2NI","short_pith_number":"pith:TVDDIAAI","canonical_record":{"source":{"id":"0812.2250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-12-11T21:07:54Z","cross_cats_sorted":[],"title_canon_sha256":"38ba1f12dafc8ffe7107706194ed72046a8670c961a446e67f353dfe05d7dee4","abstract_canon_sha256":"23b602a7ce95cfd3ae6f1784849c61e6a07f3fbdcc66fbc9b17d620c5b09157c"},"schema_version":"1.0"},"canonical_sha256":"9d463400084e67d528c8acdaf1a9da6a2940cd93b0e605f31a4e82463c9af0cc","source":{"kind":"arxiv","id":"0812.2250","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.2250","created_at":"2026-05-18T02:15:10Z"},{"alias_kind":"arxiv_version","alias_value":"0812.2250v1","created_at":"2026-05-18T02:15:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.2250","created_at":"2026-05-18T02:15:10Z"},{"alias_kind":"pith_short_12","alias_value":"TVDDIAAIJZT5","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"TVDDIAAIJZT5KKGI","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"TVDDIAAI","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:TVDDIAAIJZT5KKGIVTNPDKO2NI","target":"record","payload":{"canonical_record":{"source":{"id":"0812.2250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-12-11T21:07:54Z","cross_cats_sorted":[],"title_canon_sha256":"38ba1f12dafc8ffe7107706194ed72046a8670c961a446e67f353dfe05d7dee4","abstract_canon_sha256":"23b602a7ce95cfd3ae6f1784849c61e6a07f3fbdcc66fbc9b17d620c5b09157c"},"schema_version":"1.0"},"canonical_sha256":"9d463400084e67d528c8acdaf1a9da6a2940cd93b0e605f31a4e82463c9af0cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:10.792411Z","signature_b64":"LUSgh1NqjIdnoThHDtrhKOIHoaIsz45zvCx4Hi4X9X0mPmcilEObxW19oNulcbnBRz4+9rb3tNQM5/HlPx0UBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d463400084e67d528c8acdaf1a9da6a2940cd93b0e605f31a4e82463c9af0cc","last_reissued_at":"2026-05-18T02:15:10.791661Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:10.791661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.2250","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uNnhGfMUWxXW5575ui5UvcyTBw5MMBi8BBWyzP1tvyqeEC6cWTltX+X1vp8hx+mSZlpc4I0+19jIR5QpYmPDBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:21:24.253168Z"},"content_sha256":"f7e676fb8bce706ec470ad8f2b54b6105ecbceddab25dd896dc14462d8b19f4e","schema_version":"1.0","event_id":"sha256:f7e676fb8bce706ec470ad8f2b54b6105ecbceddab25dd896dc14462d8b19f4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:TVDDIAAIJZT5KKGIVTNPDKO2NI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantifiers for randomness of chaotic pseudo random number generators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"A. Plastino, H. A. Larrondo, L. De Micco, O. A. Rosso","submitted_at":"2008-12-11T21:07:54Z","abstract_excerpt":"We deal with randomness-quantifiers and concentrate on their ability do discern the hallmark of chaos in time-series used in connection with pseudo random number generators (PRNG). Workers in the field are motivated to use chaotic maps for generating PRNGs because of the simplicity of their implementation. Although there exist very efficient general-purpose benchmarks for testing PRNGs, we feel that the analysis provided here sheds additional didactic light on the importance of the main statistical characteristics of a chaotic map, namely, i) its invariant measure and ii) the mixing constant. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.2250","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UsezZ2F78YkHgaAjtzblaT8nfr9jeHv1gyxJlMvLd4eA95C5c3v1pfEtXMmj5WgpdZWzMYG+faDCK/siw/eHDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:21:24.253751Z"},"content_sha256":"eb7831cebcd7772ffa3242ae11aa43f6b2cbfb01d898566ff2c23e62218cf6ad","schema_version":"1.0","event_id":"sha256:eb7831cebcd7772ffa3242ae11aa43f6b2cbfb01d898566ff2c23e62218cf6ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TVDDIAAIJZT5KKGIVTNPDKO2NI/bundle.json","state_url":"https://pith.science/pith/TVDDIAAIJZT5KKGIVTNPDKO2NI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TVDDIAAIJZT5KKGIVTNPDKO2NI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T10:21:24Z","links":{"resolver":"https://pith.science/pith/TVDDIAAIJZT5KKGIVTNPDKO2NI","bundle":"https://pith.science/pith/TVDDIAAIJZT5KKGIVTNPDKO2NI/bundle.json","state":"https://pith.science/pith/TVDDIAAIJZT5KKGIVTNPDKO2NI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TVDDIAAIJZT5KKGIVTNPDKO2NI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:TVDDIAAIJZT5KKGIVTNPDKO2NI","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":"23b602a7ce95cfd3ae6f1784849c61e6a07f3fbdcc66fbc9b17d620c5b09157c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-12-11T21:07:54Z","title_canon_sha256":"38ba1f12dafc8ffe7107706194ed72046a8670c961a446e67f353dfe05d7dee4"},"schema_version":"1.0","source":{"id":"0812.2250","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.2250","created_at":"2026-05-18T02:15:10Z"},{"alias_kind":"arxiv_version","alias_value":"0812.2250v1","created_at":"2026-05-18T02:15:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.2250","created_at":"2026-05-18T02:15:10Z"},{"alias_kind":"pith_short_12","alias_value":"TVDDIAAIJZT5","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"TVDDIAAIJZT5KKGI","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"TVDDIAAI","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:eb7831cebcd7772ffa3242ae11aa43f6b2cbfb01d898566ff2c23e62218cf6ad","target":"graph","created_at":"2026-05-18T02:15:10Z","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 deal with randomness-quantifiers and concentrate on their ability do discern the hallmark of chaos in time-series used in connection with pseudo random number generators (PRNG). Workers in the field are motivated to use chaotic maps for generating PRNGs because of the simplicity of their implementation. Although there exist very efficient general-purpose benchmarks for testing PRNGs, we feel that the analysis provided here sheds additional didactic light on the importance of the main statistical characteristics of a chaotic map, namely, i) its invariant measure and ii) the mixing constant. ","authors_text":"A. Plastino, H. A. Larrondo, L. De Micco, O. A. Rosso","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-12-11T21:07:54Z","title":"Quantifiers for randomness of chaotic pseudo random number generators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.2250","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:f7e676fb8bce706ec470ad8f2b54b6105ecbceddab25dd896dc14462d8b19f4e","target":"record","created_at":"2026-05-18T02:15:10Z","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":"23b602a7ce95cfd3ae6f1784849c61e6a07f3fbdcc66fbc9b17d620c5b09157c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-12-11T21:07:54Z","title_canon_sha256":"38ba1f12dafc8ffe7107706194ed72046a8670c961a446e67f353dfe05d7dee4"},"schema_version":"1.0","source":{"id":"0812.2250","kind":"arxiv","version":1}},"canonical_sha256":"9d463400084e67d528c8acdaf1a9da6a2940cd93b0e605f31a4e82463c9af0cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d463400084e67d528c8acdaf1a9da6a2940cd93b0e605f31a4e82463c9af0cc","first_computed_at":"2026-05-18T02:15:10.791661Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:10.791661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LUSgh1NqjIdnoThHDtrhKOIHoaIsz45zvCx4Hi4X9X0mPmcilEObxW19oNulcbnBRz4+9rb3tNQM5/HlPx0UBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:10.792411Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.2250","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7e676fb8bce706ec470ad8f2b54b6105ecbceddab25dd896dc14462d8b19f4e","sha256:eb7831cebcd7772ffa3242ae11aa43f6b2cbfb01d898566ff2c23e62218cf6ad"],"state_sha256":"d441c99bb2a6d96825ccfaaf3b68897f8b651830970b844aecb2eca007d05ff3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GoGhzwXH5x8na6GAbni+bRABR1jcobUy1SkthdargPwybwScwwPfArkXFnqIpYeSqSxVy8vwgU8K7WiTI2VbBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:21:24.256278Z","bundle_sha256":"821a391332f7aa8ed8594194b00e55a6442baea388a58fc8d42237f49cbc9b3d"}}