{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:TJAFQ2NB3AQIFQTAINHHXEHEJ3","short_pith_number":"pith:TJAFQ2NB","canonical_record":{"source":{"id":"1905.07597","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-18T14:37:28Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"3c3f905ac276a916ee7b29f940e73fe44bfe63a7cb9887c7df5500064c6c5603","abstract_canon_sha256":"8fc08850a17b0d2b4df159f66ffa38e29552ee5450216bd20143a0f1d6512058"},"schema_version":"1.0"},"canonical_sha256":"9a405869a1d82082c260434e7b90e44ee384fb1bbde5f779b60fdee31f01f27d","source":{"kind":"arxiv","id":"1905.07597","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.07597","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"arxiv_version","alias_value":"1905.07597v1","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.07597","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"pith_short_12","alias_value":"TJAFQ2NB3AQI","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"TJAFQ2NB3AQIFQTA","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"TJAFQ2NB","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:TJAFQ2NB3AQIFQTAINHHXEHEJ3","target":"record","payload":{"canonical_record":{"source":{"id":"1905.07597","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-18T14:37:28Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"3c3f905ac276a916ee7b29f940e73fe44bfe63a7cb9887c7df5500064c6c5603","abstract_canon_sha256":"8fc08850a17b0d2b4df159f66ffa38e29552ee5450216bd20143a0f1d6512058"},"schema_version":"1.0"},"canonical_sha256":"9a405869a1d82082c260434e7b90e44ee384fb1bbde5f779b60fdee31f01f27d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:41.634795Z","signature_b64":"/B2BiyqmDFlfOrXPuVwKX3piosSpP09hF8fy1+t7ehM/AbubVfS8mHw/3dR7K5TsEO34nAJilxlphu8Cr5F2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a405869a1d82082c260434e7b90e44ee384fb1bbde5f779b60fdee31f01f27d","last_reissued_at":"2026-05-17T23:42:41.634195Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:41.634195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.07597","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":"2026-05-17T23:42:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"47tlS98opK7d9tJ4vjBIMImF2/pk6ZAlTC4DVN8e+zssvskv3YYPRFKKOtgxJeFD+aF9i73L1ICPLRxp/ZuhCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:14:50.573868Z"},"content_sha256":"254fe9be36b1d09a33ab273edc02df4633e7e874b493fe8d5a70a095f2fbffec","schema_version":"1.0","event_id":"sha256:254fe9be36b1d09a33ab273edc02df4633e7e874b493fe8d5a70a095f2fbffec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:TJAFQ2NB3AQIFQTAINHHXEHEJ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correspondence rules for Wigner functions over SU(3)/U(2)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Alex Clesio Nunes Martins, Andrei B. Klimov, Hubert de Guise","submitted_at":"2019-05-18T14:37:28Z","abstract_excerpt":"We present results on the * product for SU(3) Wigner functions over SU(3)/U(2). In particular, we present a form of the so-called correspondence rules, which provide a differential form of the * product A*B and A*B when A is an su(3) generator. For the su(3) Wigner map, these rules must contain second order derivatives and thus substantially differ from the rules of other known cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.07597","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":"2026-05-17T23:42:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wsE8NN+c/t857/nLkN8JV/PbP5jfxeTILhbykmO8iO/CLPRj7wbqQpcGO6M6xVJ/cPayh/SkGoj6ZLqpMu0tCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:14:50.574588Z"},"content_sha256":"9c12d281365529faaeb0016f26c295d135664403d8f74703b610c824a039d247","schema_version":"1.0","event_id":"sha256:9c12d281365529faaeb0016f26c295d135664403d8f74703b610c824a039d247"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TJAFQ2NB3AQIFQTAINHHXEHEJ3/bundle.json","state_url":"https://pith.science/pith/TJAFQ2NB3AQIFQTAINHHXEHEJ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TJAFQ2NB3AQIFQTAINHHXEHEJ3/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":"2026-05-31T00:14:50Z","links":{"resolver":"https://pith.science/pith/TJAFQ2NB3AQIFQTAINHHXEHEJ3","bundle":"https://pith.science/pith/TJAFQ2NB3AQIFQTAINHHXEHEJ3/bundle.json","state":"https://pith.science/pith/TJAFQ2NB3AQIFQTAINHHXEHEJ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TJAFQ2NB3AQIFQTAINHHXEHEJ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:TJAFQ2NB3AQIFQTAINHHXEHEJ3","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":"8fc08850a17b0d2b4df159f66ffa38e29552ee5450216bd20143a0f1d6512058","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-18T14:37:28Z","title_canon_sha256":"3c3f905ac276a916ee7b29f940e73fe44bfe63a7cb9887c7df5500064c6c5603"},"schema_version":"1.0","source":{"id":"1905.07597","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.07597","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"arxiv_version","alias_value":"1905.07597v1","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.07597","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"pith_short_12","alias_value":"TJAFQ2NB3AQI","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"TJAFQ2NB3AQIFQTA","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"TJAFQ2NB","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:9c12d281365529faaeb0016f26c295d135664403d8f74703b610c824a039d247","target":"graph","created_at":"2026-05-17T23:42:41Z","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 present results on the * product for SU(3) Wigner functions over SU(3)/U(2). In particular, we present a form of the so-called correspondence rules, which provide a differential form of the * product A*B and A*B when A is an su(3) generator. For the su(3) Wigner map, these rules must contain second order derivatives and thus substantially differ from the rules of other known cases.","authors_text":"Alex Clesio Nunes Martins, Andrei B. Klimov, Hubert de Guise","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-18T14:37:28Z","title":"Correspondence rules for Wigner functions over SU(3)/U(2)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.07597","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":"sha256:254fe9be36b1d09a33ab273edc02df4633e7e874b493fe8d5a70a095f2fbffec","target":"record","created_at":"2026-05-17T23:42:41Z","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":"8fc08850a17b0d2b4df159f66ffa38e29552ee5450216bd20143a0f1d6512058","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-18T14:37:28Z","title_canon_sha256":"3c3f905ac276a916ee7b29f940e73fe44bfe63a7cb9887c7df5500064c6c5603"},"schema_version":"1.0","source":{"id":"1905.07597","kind":"arxiv","version":1}},"canonical_sha256":"9a405869a1d82082c260434e7b90e44ee384fb1bbde5f779b60fdee31f01f27d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a405869a1d82082c260434e7b90e44ee384fb1bbde5f779b60fdee31f01f27d","first_computed_at":"2026-05-17T23:42:41.634195Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:41.634195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/B2BiyqmDFlfOrXPuVwKX3piosSpP09hF8fy1+t7ehM/AbubVfS8mHw/3dR7K5TsEO34nAJilxlphu8Cr5F2Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:41.634795Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.07597","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:254fe9be36b1d09a33ab273edc02df4633e7e874b493fe8d5a70a095f2fbffec","sha256:9c12d281365529faaeb0016f26c295d135664403d8f74703b610c824a039d247"],"state_sha256":"52a8eb84389f4e5758d73da6950a82d5de9f2b343bb6e4e97117e4ad674cd57e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gwJQhMlIQpejfzKleco6QI+g4MIVYk/dd1H+cEaYl6ye1nqEzbAaOUl81H8kQBfH3Ln1nG45MitELfncp6Y1DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:14:50.578903Z","bundle_sha256":"b3f6d968a21049b83a4d1dccaba465d6980d2b892442d087f1b92f8a2d5dd67f"}}