{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:2OXYSYMH4RY3ANBTX5PS32VCWD","short_pith_number":"pith:2OXYSYMH","canonical_record":{"source":{"id":"1205.1690","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-08T13:20:27Z","cross_cats_sorted":["cond-mat.stat-mech","math.IT","nlin.CD"],"title_canon_sha256":"26b497d147b2f31836fca73023afe5574a5357f30a210cbd92b6b5befd4cc637","abstract_canon_sha256":"cc39156227451d997ad60c625a1ae8356da5b2bd1f8910ee7d90cc0e40c6fa6d"},"schema_version":"1.0"},"canonical_sha256":"d3af896187e471b03433bf5f2deaa2b0cdc752cf02b69856d6b1b4f8313f03d6","source":{"kind":"arxiv","id":"1205.1690","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1690","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1690v3","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1690","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"pith_short_12","alias_value":"2OXYSYMH4RY3","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2OXYSYMH4RY3ANBT","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2OXYSYMH","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:2OXYSYMH4RY3ANBTX5PS32VCWD","target":"record","payload":{"canonical_record":{"source":{"id":"1205.1690","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-08T13:20:27Z","cross_cats_sorted":["cond-mat.stat-mech","math.IT","nlin.CD"],"title_canon_sha256":"26b497d147b2f31836fca73023afe5574a5357f30a210cbd92b6b5befd4cc637","abstract_canon_sha256":"cc39156227451d997ad60c625a1ae8356da5b2bd1f8910ee7d90cc0e40c6fa6d"},"schema_version":"1.0"},"canonical_sha256":"d3af896187e471b03433bf5f2deaa2b0cdc752cf02b69856d6b1b4f8313f03d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:56.612907Z","signature_b64":"3G70o5hjyTQpBW4kaQ8Rjdz1lPbplZCtYKXOi8IQ2yGFWEgO3vqdwdfblorJIFISGq814cyLMJ2pPlbv+RuLCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3af896187e471b03433bf5f2deaa2b0cdc752cf02b69856d6b1b4f8313f03d6","last_reissued_at":"2026-05-18T03:36:56.612427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:56.612427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.1690","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:36:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"11sr+zGOhIpPZurH0wPUFPaM5daVDBL3IhFR4lKIDXOpZjBNgPuYEPjRreGwk9s32v7tUc9V4BueWSbR/KL4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T15:04:17.254649Z"},"content_sha256":"152124167ef71792f303a17fe396db75a2f3460c4aaac60aca5d230f950bb615","schema_version":"1.0","event_id":"sha256:152124167ef71792f303a17fe396db75a2f3460c4aaac60aca5d230f950bb615"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:2OXYSYMH4RY3ANBTX5PS32VCWD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chaotic Method for Generating q-Gaussian Random Variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.IT","nlin.CD"],"primary_cat":"cs.IT","authors_text":"Aki-Hiro Sato, Ken Umeno","submitted_at":"2012-05-08T13:20:27Z","abstract_excerpt":"This study proposes a pseudo random number generator of q-Gaussian random variables for a range of q values, -infinity < q < 3, based on deterministic chaotic map dynamics. Our method consists of chaotic maps on the unit circle and map dynamics based on the piecewise linear map. We perform the q-Gaussian random number generator for several values of q and conduct both Kolmogorov-Smirnov (KS) and Anderson-Darling (AD) tests. The q-Gaussian samples generated by our proposed method pass the KS test at more than 5% significance level for values of q ranging from -1.0 to 2.7, while they pass the AD"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1690","kind":"arxiv","version":3},"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":"2026-05-18T03:36:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z7A9aTTuGtcr7QI5jc0qaaDjb0Az5hr8lSjx7Uly2syItp3ToZRUqNOwoQ0CMTAuKiT6LsUJ/OZB1unjL92nCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T15:04:17.255450Z"},"content_sha256":"b9e32c8b76a540ccbeb12f7a3718452205d74e3b7e918f97cb68a64be115a56a","schema_version":"1.0","event_id":"sha256:b9e32c8b76a540ccbeb12f7a3718452205d74e3b7e918f97cb68a64be115a56a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2OXYSYMH4RY3ANBTX5PS32VCWD/bundle.json","state_url":"https://pith.science/pith/2OXYSYMH4RY3ANBTX5PS32VCWD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2OXYSYMH4RY3ANBTX5PS32VCWD/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":"2026-06-08T15:04:17Z","links":{"resolver":"https://pith.science/pith/2OXYSYMH4RY3ANBTX5PS32VCWD","bundle":"https://pith.science/pith/2OXYSYMH4RY3ANBTX5PS32VCWD/bundle.json","state":"https://pith.science/pith/2OXYSYMH4RY3ANBTX5PS32VCWD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2OXYSYMH4RY3ANBTX5PS32VCWD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2OXYSYMH4RY3ANBTX5PS32VCWD","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":"cc39156227451d997ad60c625a1ae8356da5b2bd1f8910ee7d90cc0e40c6fa6d","cross_cats_sorted":["cond-mat.stat-mech","math.IT","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-08T13:20:27Z","title_canon_sha256":"26b497d147b2f31836fca73023afe5574a5357f30a210cbd92b6b5befd4cc637"},"schema_version":"1.0","source":{"id":"1205.1690","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1690","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1690v3","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1690","created_at":"2026-05-18T03:36:56Z"},{"alias_kind":"pith_short_12","alias_value":"2OXYSYMH4RY3","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2OXYSYMH4RY3ANBT","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2OXYSYMH","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:b9e32c8b76a540ccbeb12f7a3718452205d74e3b7e918f97cb68a64be115a56a","target":"graph","created_at":"2026-05-18T03:36:56Z","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":"This study proposes a pseudo random number generator of q-Gaussian random variables for a range of q values, -infinity < q < 3, based on deterministic chaotic map dynamics. Our method consists of chaotic maps on the unit circle and map dynamics based on the piecewise linear map. We perform the q-Gaussian random number generator for several values of q and conduct both Kolmogorov-Smirnov (KS) and Anderson-Darling (AD) tests. The q-Gaussian samples generated by our proposed method pass the KS test at more than 5% significance level for values of q ranging from -1.0 to 2.7, while they pass the AD","authors_text":"Aki-Hiro Sato, Ken Umeno","cross_cats":["cond-mat.stat-mech","math.IT","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-08T13:20:27Z","title":"Chaotic Method for Generating q-Gaussian Random Variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1690","kind":"arxiv","version":3},"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":"sha256:152124167ef71792f303a17fe396db75a2f3460c4aaac60aca5d230f950bb615","target":"record","created_at":"2026-05-18T03:36:56Z","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":"cc39156227451d997ad60c625a1ae8356da5b2bd1f8910ee7d90cc0e40c6fa6d","cross_cats_sorted":["cond-mat.stat-mech","math.IT","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-08T13:20:27Z","title_canon_sha256":"26b497d147b2f31836fca73023afe5574a5357f30a210cbd92b6b5befd4cc637"},"schema_version":"1.0","source":{"id":"1205.1690","kind":"arxiv","version":3}},"canonical_sha256":"d3af896187e471b03433bf5f2deaa2b0cdc752cf02b69856d6b1b4f8313f03d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3af896187e471b03433bf5f2deaa2b0cdc752cf02b69856d6b1b4f8313f03d6","first_computed_at":"2026-05-18T03:36:56.612427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:56.612427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3G70o5hjyTQpBW4kaQ8Rjdz1lPbplZCtYKXOi8IQ2yGFWEgO3vqdwdfblorJIFISGq814cyLMJ2pPlbv+RuLCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:56.612907Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.1690","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:152124167ef71792f303a17fe396db75a2f3460c4aaac60aca5d230f950bb615","sha256:b9e32c8b76a540ccbeb12f7a3718452205d74e3b7e918f97cb68a64be115a56a"],"state_sha256":"4a73928518745d68dc5c8ddf2d80ef6e5f2923eb551b3f03ad465160361e72f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8iGWpCfAzJCPD/Rtu7uyt4IrHO4B99sHtTj3KENoIyg6xOrd+sBltjbQKhimNuKdal0YX/Y7Ts1rvW4pZ12uBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T15:04:17.260488Z","bundle_sha256":"8f3e384462a4ff49bb337ce6068b965f5fec7c5e778721c8264000c83369dcac"}}