{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SP4SMQJNHYLIPIEWWPFDBMM2OA","short_pith_number":"pith:SP4SMQJN","canonical_record":{"source":{"id":"1606.00854","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-02T20:20:32Z","cross_cats_sorted":[],"title_canon_sha256":"b4674d9ce409d29bef3bee658ef76d529e0e9dee935f7f4769382a2b7ae4f20a","abstract_canon_sha256":"e571fbdc6e44e6c36471943887aa0aaa8eed84a0cb13a3d3cf094457e934aa34"},"schema_version":"1.0"},"canonical_sha256":"93f926412d3e1687a096b3ca30b19a702f7c418f60ea4966e8332bc557a0af75","source":{"kind":"arxiv","id":"1606.00854","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00854","created_at":"2026-05-18T00:26:02Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00854v4","created_at":"2026-05-18T00:26:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00854","created_at":"2026-05-18T00:26:02Z"},{"alias_kind":"pith_short_12","alias_value":"SP4SMQJNHYLI","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SP4SMQJNHYLIPIEW","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SP4SMQJN","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SP4SMQJNHYLIPIEWWPFDBMM2OA","target":"record","payload":{"canonical_record":{"source":{"id":"1606.00854","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-02T20:20:32Z","cross_cats_sorted":[],"title_canon_sha256":"b4674d9ce409d29bef3bee658ef76d529e0e9dee935f7f4769382a2b7ae4f20a","abstract_canon_sha256":"e571fbdc6e44e6c36471943887aa0aaa8eed84a0cb13a3d3cf094457e934aa34"},"schema_version":"1.0"},"canonical_sha256":"93f926412d3e1687a096b3ca30b19a702f7c418f60ea4966e8332bc557a0af75","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:02.117386Z","signature_b64":"DVw68Q7W/hFW5BBJdLBtJOb/5Z2p6qwum4S1YHF2Iq8jc0X+nmuS9+AEapEdrV5WJ0Z3Y7HUw6Vb1T9Hed6rCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93f926412d3e1687a096b3ca30b19a702f7c418f60ea4966e8332bc557a0af75","last_reissued_at":"2026-05-18T00:26:02.116682Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:02.116682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.00854","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"91Sl103TibyY0S+J7+9AcViM3LEFs2ymWO6Aq6lz2ABICkTW9uATv2giD6MvqsS9D5yIskhzs5FkSc5oPVnCCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:45:11.183424Z"},"content_sha256":"0e9cf2136a3c5c9145f47588dea975889141f76878e52d727e1d97ebc54ee649","schema_version":"1.0","event_id":"sha256:0e9cf2136a3c5c9145f47588dea975889141f76878e52d727e1d97ebc54ee649"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SP4SMQJNHYLIPIEWWPFDBMM2OA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New information and entropic inequalities for Clebsch-Gordan coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"O.V. Manko, V.I. Manko, V.N. Chernega, Z. Seilov","submitted_at":"2016-06-02T20:20:32Z","abstract_excerpt":"The Clebsch-Gordan coefficients of the group SU(2) are shown to satisfy new inequalities. They are obtained using the properties of Shannon and Tsallis entropies. The inequalities associated with the Wigner 3-j symbols are obtained using the relation of Clebsch-Gordan coefficients with probability distributions interpreted either as distributions for composite systems or distributions for noncomposite systems. The new inequalities were found for Hahn polynomials and hypergeometric functions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00854","kind":"arxiv","version":4},"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":"2026-05-18T00:26:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hq1s6X3aINlQk2AewQRBqN37hAKDbfnoBqL2E0PrKa9v2M6hSBtAupAApR/xeKJrFx108SOaQ9ypzllJSxkSDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:45:11.184071Z"},"content_sha256":"0e271ee50b3454672e6486f6bf3e049500ad92696bf75e8b307231babb8d293e","schema_version":"1.0","event_id":"sha256:0e271ee50b3454672e6486f6bf3e049500ad92696bf75e8b307231babb8d293e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SP4SMQJNHYLIPIEWWPFDBMM2OA/bundle.json","state_url":"https://pith.science/pith/SP4SMQJNHYLIPIEWWPFDBMM2OA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SP4SMQJNHYLIPIEWWPFDBMM2OA/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":"2026-06-05T18:45:11Z","links":{"resolver":"https://pith.science/pith/SP4SMQJNHYLIPIEWWPFDBMM2OA","bundle":"https://pith.science/pith/SP4SMQJNHYLIPIEWWPFDBMM2OA/bundle.json","state":"https://pith.science/pith/SP4SMQJNHYLIPIEWWPFDBMM2OA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SP4SMQJNHYLIPIEWWPFDBMM2OA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SP4SMQJNHYLIPIEWWPFDBMM2OA","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":"e571fbdc6e44e6c36471943887aa0aaa8eed84a0cb13a3d3cf094457e934aa34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-02T20:20:32Z","title_canon_sha256":"b4674d9ce409d29bef3bee658ef76d529e0e9dee935f7f4769382a2b7ae4f20a"},"schema_version":"1.0","source":{"id":"1606.00854","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00854","created_at":"2026-05-18T00:26:02Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00854v4","created_at":"2026-05-18T00:26:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00854","created_at":"2026-05-18T00:26:02Z"},{"alias_kind":"pith_short_12","alias_value":"SP4SMQJNHYLI","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SP4SMQJNHYLIPIEW","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SP4SMQJN","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:0e271ee50b3454672e6486f6bf3e049500ad92696bf75e8b307231babb8d293e","target":"graph","created_at":"2026-05-18T00:26:02Z","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":"The Clebsch-Gordan coefficients of the group SU(2) are shown to satisfy new inequalities. They are obtained using the properties of Shannon and Tsallis entropies. The inequalities associated with the Wigner 3-j symbols are obtained using the relation of Clebsch-Gordan coefficients with probability distributions interpreted either as distributions for composite systems or distributions for noncomposite systems. The new inequalities were found for Hahn polynomials and hypergeometric functions","authors_text":"O.V. Manko, V.I. Manko, V.N. Chernega, Z. Seilov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-02T20:20:32Z","title":"New information and entropic inequalities for Clebsch-Gordan coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00854","kind":"arxiv","version":4},"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":"sha256:0e9cf2136a3c5c9145f47588dea975889141f76878e52d727e1d97ebc54ee649","target":"record","created_at":"2026-05-18T00:26:02Z","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":"e571fbdc6e44e6c36471943887aa0aaa8eed84a0cb13a3d3cf094457e934aa34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-02T20:20:32Z","title_canon_sha256":"b4674d9ce409d29bef3bee658ef76d529e0e9dee935f7f4769382a2b7ae4f20a"},"schema_version":"1.0","source":{"id":"1606.00854","kind":"arxiv","version":4}},"canonical_sha256":"93f926412d3e1687a096b3ca30b19a702f7c418f60ea4966e8332bc557a0af75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93f926412d3e1687a096b3ca30b19a702f7c418f60ea4966e8332bc557a0af75","first_computed_at":"2026-05-18T00:26:02.116682Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:02.116682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DVw68Q7W/hFW5BBJdLBtJOb/5Z2p6qwum4S1YHF2Iq8jc0X+nmuS9+AEapEdrV5WJ0Z3Y7HUw6Vb1T9Hed6rCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:02.117386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.00854","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e9cf2136a3c5c9145f47588dea975889141f76878e52d727e1d97ebc54ee649","sha256:0e271ee50b3454672e6486f6bf3e049500ad92696bf75e8b307231babb8d293e"],"state_sha256":"08f7bd151276f9b1fe5f2020f58b8ebbef7cf57b0910de1ad13e528450c15ffe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x7cv5DNVqZrcdm+lSlelyMxVGH0ia2dazH+q/tIG7j8PuuFRi6ZOLFWtBD3PogCONMwHyi3LfF/4+tTkbVr2CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:45:11.187239Z","bundle_sha256":"b6968c6865b1873ee411afd4a45831253bfcf6d9847e4c4dbb0de4419906c07d"}}