{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EQWSJ62QEA7BJDJERYE5PM3BU4","short_pith_number":"pith:EQWSJ62Q","canonical_record":{"source":{"id":"1210.2300","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-08T14:59:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"92afdd68c8550e57a303d6f6a84ee0c30bc166740ef01c1ea96ef5a37addad32","abstract_canon_sha256":"37f4950ecd2bafc7ab5c79ae734e1e404fa278a27d7c1446a7d7b5121fb884f8"},"schema_version":"1.0"},"canonical_sha256":"242d24fb50203e148d248e09d7b361a7061c74b88fb3ed23ae2f6ab576b48278","source":{"kind":"arxiv","id":"1210.2300","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2300","created_at":"2026-05-18T03:32:07Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2300v3","created_at":"2026-05-18T03:32:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2300","created_at":"2026-05-18T03:32:07Z"},{"alias_kind":"pith_short_12","alias_value":"EQWSJ62QEA7B","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EQWSJ62QEA7BJDJE","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EQWSJ62Q","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EQWSJ62QEA7BJDJERYE5PM3BU4","target":"record","payload":{"canonical_record":{"source":{"id":"1210.2300","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-08T14:59:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"92afdd68c8550e57a303d6f6a84ee0c30bc166740ef01c1ea96ef5a37addad32","abstract_canon_sha256":"37f4950ecd2bafc7ab5c79ae734e1e404fa278a27d7c1446a7d7b5121fb884f8"},"schema_version":"1.0"},"canonical_sha256":"242d24fb50203e148d248e09d7b361a7061c74b88fb3ed23ae2f6ab576b48278","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:07.688845Z","signature_b64":"PuaESHffCsvC3AfIGYMV/mFDstPa5m7DigwBScd6ZgfY2rKBq1TxofhhyQPBC8V2fgIFW7HX3Xcnb+R/ylfFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"242d24fb50203e148d248e09d7b361a7061c74b88fb3ed23ae2f6ab576b48278","last_reissued_at":"2026-05-18T03:32:07.688130Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:07.688130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.2300","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":"2026-05-18T03:32:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o4A53lU9PAu+r0VUE9kznJt+QhhZ7Em9ouuftZ9gQK/PcJP/s/RQbKabHnq7e3Lp1EJkIz/G2jijI8F62AgeBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:11:48.214990Z"},"content_sha256":"9639e927b321676df19c3b486e7bbdc25902f05499c2a215b0930a50ecd92f1c","schema_version":"1.0","event_id":"sha256:9639e927b321676df19c3b486e7bbdc25902f05499c2a215b0930a50ecd92f1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EQWSJ62QEA7BJDJERYE5PM3BU4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards a complete, continuous, Wigner function for an ensemble of spins or qubits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Derek Harland, Kae Nemoto, M. J. Everitt, T. P. Spiller, T. Tilma","submitted_at":"2012-10-08T14:59:29Z","abstract_excerpt":"We present a new quasi-probability distribution function for ensembles of spin-half particles or qubits that has many properties in common with Wigner's original function for systems of continuous variables. We show that this function provides clear and intuitive graphical representation of a wide variety of states, including Fock states, spin-coherent states, squeezed states, superpositions and statistical mixtures. Unlike previous attempts to represent ensembles of spins/qubits, this distribution is capable of simultaneously representing several angular momentum shells."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2300","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":"2026-05-18T03:32:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r/l3uZHFcnH90hSIgwmHSdA6mL03f6CQh1ASyrTvauU2LAMTtUVKWuV9wara6bzF/fXyJ/nXs/Qd3D1J3jp9DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:11:48.215356Z"},"content_sha256":"ad64da01c34ec8cf7442b4f562ad2489b67b64489f20a5512321109dacd2ecdc","schema_version":"1.0","event_id":"sha256:ad64da01c34ec8cf7442b4f562ad2489b67b64489f20a5512321109dacd2ecdc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQWSJ62QEA7BJDJERYE5PM3BU4/bundle.json","state_url":"https://pith.science/pith/EQWSJ62QEA7BJDJERYE5PM3BU4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQWSJ62QEA7BJDJERYE5PM3BU4/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":"2026-06-02T03:11:48Z","links":{"resolver":"https://pith.science/pith/EQWSJ62QEA7BJDJERYE5PM3BU4","bundle":"https://pith.science/pith/EQWSJ62QEA7BJDJERYE5PM3BU4/bundle.json","state":"https://pith.science/pith/EQWSJ62QEA7BJDJERYE5PM3BU4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQWSJ62QEA7BJDJERYE5PM3BU4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EQWSJ62QEA7BJDJERYE5PM3BU4","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":"37f4950ecd2bafc7ab5c79ae734e1e404fa278a27d7c1446a7d7b5121fb884f8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-08T14:59:29Z","title_canon_sha256":"92afdd68c8550e57a303d6f6a84ee0c30bc166740ef01c1ea96ef5a37addad32"},"schema_version":"1.0","source":{"id":"1210.2300","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2300","created_at":"2026-05-18T03:32:07Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2300v3","created_at":"2026-05-18T03:32:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2300","created_at":"2026-05-18T03:32:07Z"},{"alias_kind":"pith_short_12","alias_value":"EQWSJ62QEA7B","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EQWSJ62QEA7BJDJE","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EQWSJ62Q","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:ad64da01c34ec8cf7442b4f562ad2489b67b64489f20a5512321109dacd2ecdc","target":"graph","created_at":"2026-05-18T03:32:07Z","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 a new quasi-probability distribution function for ensembles of spin-half particles or qubits that has many properties in common with Wigner's original function for systems of continuous variables. We show that this function provides clear and intuitive graphical representation of a wide variety of states, including Fock states, spin-coherent states, squeezed states, superpositions and statistical mixtures. Unlike previous attempts to represent ensembles of spins/qubits, this distribution is capable of simultaneously representing several angular momentum shells.","authors_text":"Derek Harland, Kae Nemoto, M. J. Everitt, T. P. Spiller, T. Tilma","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-08T14:59:29Z","title":"Towards a complete, continuous, Wigner function for an ensemble of spins or qubits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2300","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":"sha256:9639e927b321676df19c3b486e7bbdc25902f05499c2a215b0930a50ecd92f1c","target":"record","created_at":"2026-05-18T03:32:07Z","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":"37f4950ecd2bafc7ab5c79ae734e1e404fa278a27d7c1446a7d7b5121fb884f8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-08T14:59:29Z","title_canon_sha256":"92afdd68c8550e57a303d6f6a84ee0c30bc166740ef01c1ea96ef5a37addad32"},"schema_version":"1.0","source":{"id":"1210.2300","kind":"arxiv","version":3}},"canonical_sha256":"242d24fb50203e148d248e09d7b361a7061c74b88fb3ed23ae2f6ab576b48278","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"242d24fb50203e148d248e09d7b361a7061c74b88fb3ed23ae2f6ab576b48278","first_computed_at":"2026-05-18T03:32:07.688130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:07.688130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PuaESHffCsvC3AfIGYMV/mFDstPa5m7DigwBScd6ZgfY2rKBq1TxofhhyQPBC8V2fgIFW7HX3Xcnb+R/ylfFDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:07.688845Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.2300","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9639e927b321676df19c3b486e7bbdc25902f05499c2a215b0930a50ecd92f1c","sha256:ad64da01c34ec8cf7442b4f562ad2489b67b64489f20a5512321109dacd2ecdc"],"state_sha256":"6432c42efca850e52e3452f5300589f8fa3e1609284c976c4975154a1d09e9ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dq0FsIuTK9QtQB1w3Vy3bfWhokH1kNAZlgpO42fs9y5RwdmG5SPUFifNNrm11414RxxvG/90NR7+ywyGbrqBCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:11:48.217308Z","bundle_sha256":"784d6777288086dc1cf10d53fcdfef013d3879b0a29daaf96fda39d6b6d8b21d"}}