{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:KVCATDMRP2WUZ5V4TLCLBJ5DHV","short_pith_number":"pith:KVCATDMR","canonical_record":{"source":{"id":"1211.2751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-11-12T19:37:51Z","cross_cats_sorted":[],"title_canon_sha256":"bf39db473b58b118fba8fe8f9c340581091b78403050f4d38e8c21d383e9b0bf","abstract_canon_sha256":"324843adaeb01c9a7e4ccb320264ac175537743dd3c516d35a7577ffbc1059b0"},"schema_version":"1.0"},"canonical_sha256":"5544098d917ead4cf6bc9ac4b0a7a33d5a2456f66de01982b1e44a28ad8e3254","source":{"kind":"arxiv","id":"1211.2751","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2751","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2751v1","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2751","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"KVCATDMRP2WU","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KVCATDMRP2WUZ5V4","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KVCATDMR","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:KVCATDMRP2WUZ5V4TLCLBJ5DHV","target":"record","payload":{"canonical_record":{"source":{"id":"1211.2751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-11-12T19:37:51Z","cross_cats_sorted":[],"title_canon_sha256":"bf39db473b58b118fba8fe8f9c340581091b78403050f4d38e8c21d383e9b0bf","abstract_canon_sha256":"324843adaeb01c9a7e4ccb320264ac175537743dd3c516d35a7577ffbc1059b0"},"schema_version":"1.0"},"canonical_sha256":"5544098d917ead4cf6bc9ac4b0a7a33d5a2456f66de01982b1e44a28ad8e3254","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:01.897923Z","signature_b64":"3olL/iQ/36cDJW2aBwBXDQOvvXtGfVVCa/1FExkye9aswu2r3oww8KqQFskN2Y9TtoqKT5rD91Q8eClGAiDvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5544098d917ead4cf6bc9ac4b0a7a33d5a2456f66de01982b1e44a28ad8e3254","last_reissued_at":"2026-05-18T03:41:01.897407Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:01.897407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.2751","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":"2026-05-18T03:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TMN0/sCOQgiAwAHAaJ15YZW6RYXtjcv1lBorKETFEtpnr7AjqhBtgykbj0I00krW3HDwBDTsjCKj8FOwxE1BAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:16:35.342150Z"},"content_sha256":"c51923d84f55fba78c3cbc283d96d814d32cc0ba84f71001493393f002b71ce9","schema_version":"1.0","event_id":"sha256:c51923d84f55fba78c3cbc283d96d814d32cc0ba84f71001493393f002b71ce9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:KVCATDMRP2WUZ5V4TLCLBJ5DHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random Sequences from Primitive Pythagorean Triples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Monisha Prabhu, Subhash Kak","submitted_at":"2012-11-12T19:37:51Z","abstract_excerpt":"This paper shows that the six classes of PPTs can be put into two groups. Autocorrelation and cross-correlation functions of the six classes derived from the gaps between each class type have been computed. It is shown that Classes A and D (in which the largest term is divisible by 5) are different from the other four classes in their randomness properties if they are ordered by the largest term. In the other two orderings each of the six random Baudhayana sequences has excellent randomness properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2751","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":"2026-05-18T03:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"daVllZ0BRY/qBz8vWu7Am3FceuMAzrhetAJjBMxEWgdH/COt4seoQVdxOxhJSn69KNRRqT9NCHLqdSh/IyLOBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:16:35.342520Z"},"content_sha256":"2aefca5b4e38abfdde9df1d0ce80b18bf6298b87aea97420ea02ec1f3cb82741","schema_version":"1.0","event_id":"sha256:2aefca5b4e38abfdde9df1d0ce80b18bf6298b87aea97420ea02ec1f3cb82741"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KVCATDMRP2WUZ5V4TLCLBJ5DHV/bundle.json","state_url":"https://pith.science/pith/KVCATDMRP2WUZ5V4TLCLBJ5DHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KVCATDMRP2WUZ5V4TLCLBJ5DHV/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":"2026-06-01T05:16:35Z","links":{"resolver":"https://pith.science/pith/KVCATDMRP2WUZ5V4TLCLBJ5DHV","bundle":"https://pith.science/pith/KVCATDMRP2WUZ5V4TLCLBJ5DHV/bundle.json","state":"https://pith.science/pith/KVCATDMRP2WUZ5V4TLCLBJ5DHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KVCATDMRP2WUZ5V4TLCLBJ5DHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KVCATDMRP2WUZ5V4TLCLBJ5DHV","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":"324843adaeb01c9a7e4ccb320264ac175537743dd3c516d35a7577ffbc1059b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-11-12T19:37:51Z","title_canon_sha256":"bf39db473b58b118fba8fe8f9c340581091b78403050f4d38e8c21d383e9b0bf"},"schema_version":"1.0","source":{"id":"1211.2751","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2751","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2751v1","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2751","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"KVCATDMRP2WU","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KVCATDMRP2WUZ5V4","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KVCATDMR","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:2aefca5b4e38abfdde9df1d0ce80b18bf6298b87aea97420ea02ec1f3cb82741","target":"graph","created_at":"2026-05-18T03:41:01Z","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 paper shows that the six classes of PPTs can be put into two groups. Autocorrelation and cross-correlation functions of the six classes derived from the gaps between each class type have been computed. It is shown that Classes A and D (in which the largest term is divisible by 5) are different from the other four classes in their randomness properties if they are ordered by the largest term. In the other two orderings each of the six random Baudhayana sequences has excellent randomness properties.","authors_text":"Monisha Prabhu, Subhash Kak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-11-12T19:37:51Z","title":"Random Sequences from Primitive Pythagorean Triples"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2751","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:c51923d84f55fba78c3cbc283d96d814d32cc0ba84f71001493393f002b71ce9","target":"record","created_at":"2026-05-18T03:41:01Z","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":"324843adaeb01c9a7e4ccb320264ac175537743dd3c516d35a7577ffbc1059b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-11-12T19:37:51Z","title_canon_sha256":"bf39db473b58b118fba8fe8f9c340581091b78403050f4d38e8c21d383e9b0bf"},"schema_version":"1.0","source":{"id":"1211.2751","kind":"arxiv","version":1}},"canonical_sha256":"5544098d917ead4cf6bc9ac4b0a7a33d5a2456f66de01982b1e44a28ad8e3254","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5544098d917ead4cf6bc9ac4b0a7a33d5a2456f66de01982b1e44a28ad8e3254","first_computed_at":"2026-05-18T03:41:01.897407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:01.897407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3olL/iQ/36cDJW2aBwBXDQOvvXtGfVVCa/1FExkye9aswu2r3oww8KqQFskN2Y9TtoqKT5rD91Q8eClGAiDvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:01.897923Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.2751","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c51923d84f55fba78c3cbc283d96d814d32cc0ba84f71001493393f002b71ce9","sha256:2aefca5b4e38abfdde9df1d0ce80b18bf6298b87aea97420ea02ec1f3cb82741"],"state_sha256":"96207dfb8079cbd5230f144d3028dc404c9edc8bbe97810130ae48e5fc72fcb3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0aF/whYBMtEfxuwh7/XxvtAmyMZFW4ZF/7HXVLlIKRLQ1d1DEMwwfIIVpIB/tzsm8dLSl76Wuytg7XHLrKodDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:16:35.344722Z","bundle_sha256":"1e311fa67177af4fd2668da0b28ae20ff0e66fb4fe28f091c6a26f9d2cade4bd"}}