{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5JHI6Q5HL6TMD7EKJV6M5DT2NF","short_pith_number":"pith:5JHI6Q5H","canonical_record":{"source":{"id":"1211.2328","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-11-10T14:37:00Z","cross_cats_sorted":[],"title_canon_sha256":"5f01f831499cc65486ed8c8ae0267017c0b1c9ee7b373767ac0887320426b59e","abstract_canon_sha256":"ab57acf10c572c6fe411df4c682b3f72f62b7129448847045656b1fb479600bd"},"schema_version":"1.0"},"canonical_sha256":"ea4e8f43a75fa6c1fc8a4d7cce8e7a6968728e5f85d35f8042f179b56335604a","source":{"kind":"arxiv","id":"1211.2328","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2328","created_at":"2026-05-18T03:32:47Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2328v3","created_at":"2026-05-18T03:32:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2328","created_at":"2026-05-18T03:32:47Z"},{"alias_kind":"pith_short_12","alias_value":"5JHI6Q5HL6TM","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5JHI6Q5HL6TMD7EK","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5JHI6Q5H","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5JHI6Q5HL6TMD7EKJV6M5DT2NF","target":"record","payload":{"canonical_record":{"source":{"id":"1211.2328","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-11-10T14:37:00Z","cross_cats_sorted":[],"title_canon_sha256":"5f01f831499cc65486ed8c8ae0267017c0b1c9ee7b373767ac0887320426b59e","abstract_canon_sha256":"ab57acf10c572c6fe411df4c682b3f72f62b7129448847045656b1fb479600bd"},"schema_version":"1.0"},"canonical_sha256":"ea4e8f43a75fa6c1fc8a4d7cce8e7a6968728e5f85d35f8042f179b56335604a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:47.253919Z","signature_b64":"CC7KL14mcsPFAKCnLD/yBYJ71VtP3kdhac5VjZHDKIb6uhOFu5JgIzwZXzHL4eP+MmMwTF8adr2YZu6RcnZNCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea4e8f43a75fa6c1fc8a4d7cce8e7a6968728e5f85d35f8042f179b56335604a","last_reissued_at":"2026-05-18T03:32:47.253085Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:47.253085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.2328","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:32:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dKFy4UIwCx9tgU7+SNAeFhvdGjk9k7SbT26N7vjOKAaaYjAcsW2yK1pbZAwGDSsz080SWNrH5ATzCauJN3cBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:28:49.443126Z"},"content_sha256":"7e4cc46672906ff3fc4d017d1392c0924233d77dab90f0536e40bf35321a4bca","schema_version":"1.0","event_id":"sha256:7e4cc46672906ff3fc4d017d1392c0924233d77dab90f0536e40bf35321a4bca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5JHI6Q5HL6TMD7EKJV6M5DT2NF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unitary Invariants and Classification of Four-Qubit States via Negativity Fonts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"N. K. Sharma, S. Shelly Sharma","submitted_at":"2012-11-10T14:37:00Z","abstract_excerpt":"Local unitary invariance and the notion of negativity fonts are used as the principle tools to construct four qubit invariants of degree 8, 12, and 24. A degree 8 polynomial invariant that is non-zero on pure four qubit states with four-body correlations and zero on all other states, is identified. Classification of four qubit states into seven major classes, using criterion based on the nature of correlations, is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2328","kind":"arxiv","version":3},"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":"2026-05-18T03:32:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iQpKu6UeQBdax2ftpY929Gft7xSF9RHUuWYOyd8aG4i4SKHbU6a8MWv4xz/7L8DDrOc7RQcLCpMBz2NVuFUxCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:28:49.443512Z"},"content_sha256":"b6b6d29da3ea4d59427a3e501afb419d98e671fd1a6acb705e0d49c6b4ec5cd4","schema_version":"1.0","event_id":"sha256:b6b6d29da3ea4d59427a3e501afb419d98e671fd1a6acb705e0d49c6b4ec5cd4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5JHI6Q5HL6TMD7EKJV6M5DT2NF/bundle.json","state_url":"https://pith.science/pith/5JHI6Q5HL6TMD7EKJV6M5DT2NF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5JHI6Q5HL6TMD7EKJV6M5DT2NF/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":"2026-06-23T03:28:49Z","links":{"resolver":"https://pith.science/pith/5JHI6Q5HL6TMD7EKJV6M5DT2NF","bundle":"https://pith.science/pith/5JHI6Q5HL6TMD7EKJV6M5DT2NF/bundle.json","state":"https://pith.science/pith/5JHI6Q5HL6TMD7EKJV6M5DT2NF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5JHI6Q5HL6TMD7EKJV6M5DT2NF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5JHI6Q5HL6TMD7EKJV6M5DT2NF","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":"ab57acf10c572c6fe411df4c682b3f72f62b7129448847045656b1fb479600bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-11-10T14:37:00Z","title_canon_sha256":"5f01f831499cc65486ed8c8ae0267017c0b1c9ee7b373767ac0887320426b59e"},"schema_version":"1.0","source":{"id":"1211.2328","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2328","created_at":"2026-05-18T03:32:47Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2328v3","created_at":"2026-05-18T03:32:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2328","created_at":"2026-05-18T03:32:47Z"},{"alias_kind":"pith_short_12","alias_value":"5JHI6Q5HL6TM","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5JHI6Q5HL6TMD7EK","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5JHI6Q5H","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:b6b6d29da3ea4d59427a3e501afb419d98e671fd1a6acb705e0d49c6b4ec5cd4","target":"graph","created_at":"2026-05-18T03:32:47Z","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":"Local unitary invariance and the notion of negativity fonts are used as the principle tools to construct four qubit invariants of degree 8, 12, and 24. A degree 8 polynomial invariant that is non-zero on pure four qubit states with four-body correlations and zero on all other states, is identified. Classification of four qubit states into seven major classes, using criterion based on the nature of correlations, is discussed.","authors_text":"N. K. Sharma, S. Shelly Sharma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-11-10T14:37:00Z","title":"Unitary Invariants and Classification of Four-Qubit States via Negativity Fonts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2328","kind":"arxiv","version":3},"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":"sha256:7e4cc46672906ff3fc4d017d1392c0924233d77dab90f0536e40bf35321a4bca","target":"record","created_at":"2026-05-18T03:32:47Z","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":"ab57acf10c572c6fe411df4c682b3f72f62b7129448847045656b1fb479600bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-11-10T14:37:00Z","title_canon_sha256":"5f01f831499cc65486ed8c8ae0267017c0b1c9ee7b373767ac0887320426b59e"},"schema_version":"1.0","source":{"id":"1211.2328","kind":"arxiv","version":3}},"canonical_sha256":"ea4e8f43a75fa6c1fc8a4d7cce8e7a6968728e5f85d35f8042f179b56335604a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea4e8f43a75fa6c1fc8a4d7cce8e7a6968728e5f85d35f8042f179b56335604a","first_computed_at":"2026-05-18T03:32:47.253085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:47.253085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CC7KL14mcsPFAKCnLD/yBYJ71VtP3kdhac5VjZHDKIb6uhOFu5JgIzwZXzHL4eP+MmMwTF8adr2YZu6RcnZNCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:47.253919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.2328","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e4cc46672906ff3fc4d017d1392c0924233d77dab90f0536e40bf35321a4bca","sha256:b6b6d29da3ea4d59427a3e501afb419d98e671fd1a6acb705e0d49c6b4ec5cd4"],"state_sha256":"a4ce5d4afe8e064ae5161f5d05a5837389cfdc96ce22f1de9af2d771d3d37960"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dUYsLgL7OuSO03H/WGOyd3lGcp6wrNTsCprxVAs8NbCCcMSjtCkBXOBgnyF5VEzeHwPWOFI/+U90zdY6Kc1aAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T03:28:49.445680Z","bundle_sha256":"c71cbeb86564ae8d08054baa85621edf756e6da5ee5595c23dc67acea755aef8"}}