{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JIYZNLTIZP7M7DPH6GZBOEGZCM","short_pith_number":"pith:JIYZNLTI","canonical_record":{"source":{"id":"1601.07110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-01-26T17:33:42Z","cross_cats_sorted":["cs.CR","math.IT"],"title_canon_sha256":"c386270dc37e26d0cf8efd601d24c526653f15bc240c88b230210fa24c4316da","abstract_canon_sha256":"e2ded395e11afa7070d05e4d0b30311e31cec7657d0c14ae49b0cd6f429347d7"},"schema_version":"1.0"},"canonical_sha256":"4a3196ae68cbfecf8de7f1b21710d91317897f1bd8c9ffdd0e60ecb55670ef62","source":{"kind":"arxiv","id":"1601.07110","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07110","created_at":"2026-05-18T01:21:57Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07110v1","created_at":"2026-05-18T01:21:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07110","created_at":"2026-05-18T01:21:57Z"},{"alias_kind":"pith_short_12","alias_value":"JIYZNLTIZP7M","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JIYZNLTIZP7M7DPH","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JIYZNLTI","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JIYZNLTIZP7M7DPH6GZBOEGZCM","target":"record","payload":{"canonical_record":{"source":{"id":"1601.07110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-01-26T17:33:42Z","cross_cats_sorted":["cs.CR","math.IT"],"title_canon_sha256":"c386270dc37e26d0cf8efd601d24c526653f15bc240c88b230210fa24c4316da","abstract_canon_sha256":"e2ded395e11afa7070d05e4d0b30311e31cec7657d0c14ae49b0cd6f429347d7"},"schema_version":"1.0"},"canonical_sha256":"4a3196ae68cbfecf8de7f1b21710d91317897f1bd8c9ffdd0e60ecb55670ef62","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:57.439106Z","signature_b64":"PJKGUCg83r3PaS6A2Re3VV5DyHYP1CK+yRU6l9ExqmaZEzHPe2An7FQxH6WpI/K1Sj4Bz40sGQ2uPQMh0oNeAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a3196ae68cbfecf8de7f1b21710d91317897f1bd8c9ffdd0e60ecb55670ef62","last_reissued_at":"2026-05-18T01:21:57.438555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:57.438555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.07110","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":"2026-05-18T01:21:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PDVoSTUOuZcq5AYOuscasKxVIqJxOiIHsFq9oNiwHz0i0wUtopemrJmhRuiHJ3RtO+fVKG27IMkBWqiCfJu9Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:23:04.787021Z"},"content_sha256":"bd17869a1689dbec3622f607da801f4e96032e2cc66082c43d4a387204a18afe","schema_version":"1.0","event_id":"sha256:bd17869a1689dbec3622f607da801f4e96032e2cc66082c43d4a387204a18afe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JIYZNLTIZP7M7DPH6GZBOEGZCM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Narayana Universal Code","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CR","math.IT"],"primary_cat":"cs.IT","authors_text":"Krishnamurthy Kirthi, Subhash Kak","submitted_at":"2016-01-26T17:33:42Z","abstract_excerpt":"This paper presents a method of universal coding based on the Narayana series. The rules necessary to make such coding possible have been found and the length of the resulting code has been determined to follow the Narayana count."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07110","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":"2026-05-18T01:21:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"agTQEIgsQ71Hawavu1wA3XmbSFfqn7l+WgReZhbj5uN+yRArTi7jPS1eZaG69BH2Flx497Q5NQn3wFmkQy2UDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:23:04.787379Z"},"content_sha256":"322df5a7ee2779fc2e6c6ce04844de459a283219fd81acc742cf18eb646455f0","schema_version":"1.0","event_id":"sha256:322df5a7ee2779fc2e6c6ce04844de459a283219fd81acc742cf18eb646455f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JIYZNLTIZP7M7DPH6GZBOEGZCM/bundle.json","state_url":"https://pith.science/pith/JIYZNLTIZP7M7DPH6GZBOEGZCM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JIYZNLTIZP7M7DPH6GZBOEGZCM/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":"2026-06-01T16:23:04Z","links":{"resolver":"https://pith.science/pith/JIYZNLTIZP7M7DPH6GZBOEGZCM","bundle":"https://pith.science/pith/JIYZNLTIZP7M7DPH6GZBOEGZCM/bundle.json","state":"https://pith.science/pith/JIYZNLTIZP7M7DPH6GZBOEGZCM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JIYZNLTIZP7M7DPH6GZBOEGZCM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JIYZNLTIZP7M7DPH6GZBOEGZCM","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":"e2ded395e11afa7070d05e4d0b30311e31cec7657d0c14ae49b0cd6f429347d7","cross_cats_sorted":["cs.CR","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-01-26T17:33:42Z","title_canon_sha256":"c386270dc37e26d0cf8efd601d24c526653f15bc240c88b230210fa24c4316da"},"schema_version":"1.0","source":{"id":"1601.07110","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07110","created_at":"2026-05-18T01:21:57Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07110v1","created_at":"2026-05-18T01:21:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07110","created_at":"2026-05-18T01:21:57Z"},{"alias_kind":"pith_short_12","alias_value":"JIYZNLTIZP7M","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JIYZNLTIZP7M7DPH","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JIYZNLTI","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:322df5a7ee2779fc2e6c6ce04844de459a283219fd81acc742cf18eb646455f0","target":"graph","created_at":"2026-05-18T01:21:57Z","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 presents a method of universal coding based on the Narayana series. The rules necessary to make such coding possible have been found and the length of the resulting code has been determined to follow the Narayana count.","authors_text":"Krishnamurthy Kirthi, Subhash Kak","cross_cats":["cs.CR","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-01-26T17:33:42Z","title":"The Narayana Universal Code"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07110","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:bd17869a1689dbec3622f607da801f4e96032e2cc66082c43d4a387204a18afe","target":"record","created_at":"2026-05-18T01:21:57Z","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":"e2ded395e11afa7070d05e4d0b30311e31cec7657d0c14ae49b0cd6f429347d7","cross_cats_sorted":["cs.CR","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-01-26T17:33:42Z","title_canon_sha256":"c386270dc37e26d0cf8efd601d24c526653f15bc240c88b230210fa24c4316da"},"schema_version":"1.0","source":{"id":"1601.07110","kind":"arxiv","version":1}},"canonical_sha256":"4a3196ae68cbfecf8de7f1b21710d91317897f1bd8c9ffdd0e60ecb55670ef62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a3196ae68cbfecf8de7f1b21710d91317897f1bd8c9ffdd0e60ecb55670ef62","first_computed_at":"2026-05-18T01:21:57.438555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:57.438555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PJKGUCg83r3PaS6A2Re3VV5DyHYP1CK+yRU6l9ExqmaZEzHPe2An7FQxH6WpI/K1Sj4Bz40sGQ2uPQMh0oNeAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:57.439106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.07110","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd17869a1689dbec3622f607da801f4e96032e2cc66082c43d4a387204a18afe","sha256:322df5a7ee2779fc2e6c6ce04844de459a283219fd81acc742cf18eb646455f0"],"state_sha256":"1720e18fe092f7458b94e5b17e3db5ee6b07789bb7e9890ec59cc7b74b748fe5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jArUcRFfl0dTyCp3tSOKG5AWE7Nec3rXxWW+SYJukeBkWI9ujfgayAwuScdb93DD2DnO/BReNYWeMimyXXNuAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:23:04.789340Z","bundle_sha256":"7ad45b66f41bbc9ac4e7eb312da79083edba2b4f6b8861bfb3ef45185f3840f2"}}