{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:F36OUNFWJJTJH2H5ZO7U2QE3F3","short_pith_number":"pith:F36OUNFW","canonical_record":{"source":{"id":"2408.02702","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-08-04T18:50:42Z","cross_cats_sorted":[],"title_canon_sha256":"048b41a64b46c8cdb0557ba496edf58eda6e9bf3acaa3aa24dc6c78fd7358124","abstract_canon_sha256":"2c8c213bdc539514ce593c9f96839261e31efc86e8b0a0536791ea74d3c951db"},"schema_version":"1.0"},"canonical_sha256":"2efcea34b64a6693e8fdcbbf4d409b2ec13e6cfa9ed3757735174458462b2917","source":{"kind":"arxiv","id":"2408.02702","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.02702","created_at":"2026-07-05T08:52:38Z"},{"alias_kind":"arxiv_version","alias_value":"2408.02702v1","created_at":"2026-07-05T08:52:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.02702","created_at":"2026-07-05T08:52:38Z"},{"alias_kind":"pith_short_12","alias_value":"F36OUNFWJJTJ","created_at":"2026-07-05T08:52:38Z"},{"alias_kind":"pith_short_16","alias_value":"F36OUNFWJJTJH2H5","created_at":"2026-07-05T08:52:38Z"},{"alias_kind":"pith_short_8","alias_value":"F36OUNFW","created_at":"2026-07-05T08:52:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:F36OUNFWJJTJH2H5ZO7U2QE3F3","target":"record","payload":{"canonical_record":{"source":{"id":"2408.02702","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-08-04T18:50:42Z","cross_cats_sorted":[],"title_canon_sha256":"048b41a64b46c8cdb0557ba496edf58eda6e9bf3acaa3aa24dc6c78fd7358124","abstract_canon_sha256":"2c8c213bdc539514ce593c9f96839261e31efc86e8b0a0536791ea74d3c951db"},"schema_version":"1.0"},"canonical_sha256":"2efcea34b64a6693e8fdcbbf4d409b2ec13e6cfa9ed3757735174458462b2917","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:52:38.810834Z","signature_b64":"jPa01b6oh4OnnVoVcuSFmOGWt/FuyfB0ySVg3LcDCnys34FVxcpxb3dJHX5/oeyGenJs01sZm3f29Vu0ZJKfBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2efcea34b64a6693e8fdcbbf4d409b2ec13e6cfa9ed3757735174458462b2917","last_reissued_at":"2026-07-05T08:52:38.810473Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:52:38.810473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.02702","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":"2026-07-05T08:52:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ukr9VrBQpYMxrWu8pbipNjjo5bS2vLWlCDz4fOF9/MJkPEAfxBKlZZRkrGf8/UcVdM8hsS5ROTV6sPe5xg3TAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:54:08.609266Z"},"content_sha256":"b36ef74e22b3d587b6b9246d70517dba6d9aabccae2a96222c5af3d6e8b1d4c7","schema_version":"1.0","event_id":"sha256:b36ef74e22b3d587b6b9246d70517dba6d9aabccae2a96222c5af3d6e8b1d4c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:F36OUNFWJJTJH2H5ZO7U2QE3F3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SU(N) algebras and new thumbrules for entanglement of bipartite qubit and qutrit systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. Gangopadhyay, P. Dasgupta","submitted_at":"2024-08-04T18:50:42Z","abstract_excerpt":"Based on the Schmidt decomposition new convenient thumbrules are obtained to test entanglement of wavefunctions for bipartite qubit and qutrit systems. For the qubit system there is an underlying SU(2) algebra , while the same for a qutrit system is SU(3)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.02702","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.02702/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:52:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LhxNkaYjEBstqESgoJ8e1PIxPHErR3lbocHF3KiKa9v5tCD1iWexJjk5Bq3ZbQznSI01H8/N23ywXgENrqQyBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:54:08.609752Z"},"content_sha256":"2da3cfd1196d9d27ac40fdaa7216e8dd549bdd9ababd9205599da22f6c873854","schema_version":"1.0","event_id":"sha256:2da3cfd1196d9d27ac40fdaa7216e8dd549bdd9ababd9205599da22f6c873854"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F36OUNFWJJTJH2H5ZO7U2QE3F3/bundle.json","state_url":"https://pith.science/pith/F36OUNFWJJTJH2H5ZO7U2QE3F3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F36OUNFWJJTJH2H5ZO7U2QE3F3/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":"2026-08-09T19:54:08Z","links":{"resolver":"https://pith.science/pith/F36OUNFWJJTJH2H5ZO7U2QE3F3","bundle":"https://pith.science/pith/F36OUNFWJJTJH2H5ZO7U2QE3F3/bundle.json","state":"https://pith.science/pith/F36OUNFWJJTJH2H5ZO7U2QE3F3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F36OUNFWJJTJH2H5ZO7U2QE3F3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:F36OUNFWJJTJH2H5ZO7U2QE3F3","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":"2c8c213bdc539514ce593c9f96839261e31efc86e8b0a0536791ea74d3c951db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-08-04T18:50:42Z","title_canon_sha256":"048b41a64b46c8cdb0557ba496edf58eda6e9bf3acaa3aa24dc6c78fd7358124"},"schema_version":"1.0","source":{"id":"2408.02702","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.02702","created_at":"2026-07-05T08:52:38Z"},{"alias_kind":"arxiv_version","alias_value":"2408.02702v1","created_at":"2026-07-05T08:52:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.02702","created_at":"2026-07-05T08:52:38Z"},{"alias_kind":"pith_short_12","alias_value":"F36OUNFWJJTJ","created_at":"2026-07-05T08:52:38Z"},{"alias_kind":"pith_short_16","alias_value":"F36OUNFWJJTJH2H5","created_at":"2026-07-05T08:52:38Z"},{"alias_kind":"pith_short_8","alias_value":"F36OUNFW","created_at":"2026-07-05T08:52:38Z"}],"graph_snapshots":[{"event_id":"sha256:2da3cfd1196d9d27ac40fdaa7216e8dd549bdd9ababd9205599da22f6c873854","target":"graph","created_at":"2026-07-05T08:52:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2408.02702/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Based on the Schmidt decomposition new convenient thumbrules are obtained to test entanglement of wavefunctions for bipartite qubit and qutrit systems. For the qubit system there is an underlying SU(2) algebra , while the same for a qutrit system is SU(3).","authors_text":"D. Gangopadhyay, P. Dasgupta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-08-04T18:50:42Z","title":"SU(N) algebras and new thumbrules for entanglement of bipartite qubit and qutrit systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.02702","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:b36ef74e22b3d587b6b9246d70517dba6d9aabccae2a96222c5af3d6e8b1d4c7","target":"record","created_at":"2026-07-05T08:52:38Z","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":"2c8c213bdc539514ce593c9f96839261e31efc86e8b0a0536791ea74d3c951db","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-08-04T18:50:42Z","title_canon_sha256":"048b41a64b46c8cdb0557ba496edf58eda6e9bf3acaa3aa24dc6c78fd7358124"},"schema_version":"1.0","source":{"id":"2408.02702","kind":"arxiv","version":1}},"canonical_sha256":"2efcea34b64a6693e8fdcbbf4d409b2ec13e6cfa9ed3757735174458462b2917","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2efcea34b64a6693e8fdcbbf4d409b2ec13e6cfa9ed3757735174458462b2917","first_computed_at":"2026-07-05T08:52:38.810473Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:52:38.810473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jPa01b6oh4OnnVoVcuSFmOGWt/FuyfB0ySVg3LcDCnys34FVxcpxb3dJHX5/oeyGenJs01sZm3f29Vu0ZJKfBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:52:38.810834Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.02702","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b36ef74e22b3d587b6b9246d70517dba6d9aabccae2a96222c5af3d6e8b1d4c7","sha256:2da3cfd1196d9d27ac40fdaa7216e8dd549bdd9ababd9205599da22f6c873854"],"state_sha256":"7353892ae25ab6abd56c50169103089050282a3553b7f8a59d50fb452c1310d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Adq/N24oJZPP0tDk70+G5o00VVmYbXt27H6kblm1iOMC+hrTdMjtPsgs3hu5ow37cBVnF5SAzZZ7GK7tuGiBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T19:54:08.613933Z","bundle_sha256":"688e80608c09f636b679b1343436b541c275d511b619ed4d494efdbe3d82d209"}}