{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QW3WON7CPYDJTRTPY4VY6V47IZ","short_pith_number":"pith:QW3WON7C","canonical_record":{"source":{"id":"1612.06777","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-20T17:38:34Z","cross_cats_sorted":[],"title_canon_sha256":"26edf2369c50f5709da6f2995c644e19f65c08d3812b4acb329c51865bb376d2","abstract_canon_sha256":"32caff491c36a6a224c5d0120459a872344750a8941707d60e8821042a06b361"},"schema_version":"1.0"},"canonical_sha256":"85b76737e27e0699c66fc72b8f579f465afe01b1f226f5a748b67500136183c6","source":{"kind":"arxiv","id":"1612.06777","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.06777","created_at":"2026-07-05T00:42:51Z"},{"alias_kind":"arxiv_version","alias_value":"1612.06777v2","created_at":"2026-07-05T00:42:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.06777","created_at":"2026-07-05T00:42:51Z"},{"alias_kind":"pith_short_12","alias_value":"QW3WON7CPYDJ","created_at":"2026-07-05T00:42:51Z"},{"alias_kind":"pith_short_16","alias_value":"QW3WON7CPYDJTRTP","created_at":"2026-07-05T00:42:51Z"},{"alias_kind":"pith_short_8","alias_value":"QW3WON7C","created_at":"2026-07-05T00:42:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QW3WON7CPYDJTRTPY4VY6V47IZ","target":"record","payload":{"canonical_record":{"source":{"id":"1612.06777","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-20T17:38:34Z","cross_cats_sorted":[],"title_canon_sha256":"26edf2369c50f5709da6f2995c644e19f65c08d3812b4acb329c51865bb376d2","abstract_canon_sha256":"32caff491c36a6a224c5d0120459a872344750a8941707d60e8821042a06b361"},"schema_version":"1.0"},"canonical_sha256":"85b76737e27e0699c66fc72b8f579f465afe01b1f226f5a748b67500136183c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:42:51.212196Z","signature_b64":"LP/LMrisvUmrPImz/deqELk76VhfM6eF6xag4CViKPHs316x6pAm66VFdBFgR+VELx5fDtndwQFE01LzUfaQDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85b76737e27e0699c66fc72b8f579f465afe01b1f226f5a748b67500136183c6","last_reissued_at":"2026-07-05T00:42:51.211799Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:42:51.211799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.06777","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:42:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uPEAAcjvG8I+BDwiqhHEFTmv0Oeiv0zpsM2dvZ9nXwwtVHf96YBjLGo1HisPUCKxPHr08si/JCPqhJsbtyOuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T20:58:03.634927Z"},"content_sha256":"3620d50bc9d9725b38b67cad8f9df6ef34c8b9363eef9f606c7b0c0b79ce51c9","schema_version":"1.0","event_id":"sha256:3620d50bc9d9725b38b67cad8f9df6ef34c8b9363eef9f606c7b0c0b79ce51c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QW3WON7CPYDJTRTPY4VY6V47IZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time evolution of coupled spin systems in a generalized Wigner representation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"B\\'alint Koczor, Robert Zeier, Steffen J. Glaser","submitted_at":"2016-12-20T17:38:34Z","abstract_excerpt":"Phase-space representations as given by Wigner functions are a powerful tool for representing the quantum state and characterizing its time evolution in the case of infinite-dimensional quantum systems and have been widely used in quantum optics and beyond. Continuous phase spaces have also been studied for finite-dimensional quantum systems such as spin systems. However, much less is known for finite-dimensional, coupled systems, and we present a complete theory of Wigner functions for this case. In particular, we provide a self-contained Wigner formalism for describing and predicting the tim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.06777","kind":"arxiv","version":2},"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/1612.06777/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":"2026-07-05T00:42:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"txNbwu9tTWr9Yk+7bSkuMcEv9CFymHSNDmU00ySrMTtCIFRHK+Y1bf4sB3U/DcQzCG7MEH4DZRzoiLhrTlWCDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T20:58:03.635481Z"},"content_sha256":"13185f0c06bebef9158757deff375f75b67f5f80238dfe316289cf58f6225bcc","schema_version":"1.0","event_id":"sha256:13185f0c06bebef9158757deff375f75b67f5f80238dfe316289cf58f6225bcc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QW3WON7CPYDJTRTPY4VY6V47IZ/bundle.json","state_url":"https://pith.science/pith/QW3WON7CPYDJTRTPY4VY6V47IZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QW3WON7CPYDJTRTPY4VY6V47IZ/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":"2026-08-16T20:58:03Z","links":{"resolver":"https://pith.science/pith/QW3WON7CPYDJTRTPY4VY6V47IZ","bundle":"https://pith.science/pith/QW3WON7CPYDJTRTPY4VY6V47IZ/bundle.json","state":"https://pith.science/pith/QW3WON7CPYDJTRTPY4VY6V47IZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QW3WON7CPYDJTRTPY4VY6V47IZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QW3WON7CPYDJTRTPY4VY6V47IZ","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":"32caff491c36a6a224c5d0120459a872344750a8941707d60e8821042a06b361","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-20T17:38:34Z","title_canon_sha256":"26edf2369c50f5709da6f2995c644e19f65c08d3812b4acb329c51865bb376d2"},"schema_version":"1.0","source":{"id":"1612.06777","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.06777","created_at":"2026-07-05T00:42:51Z"},{"alias_kind":"arxiv_version","alias_value":"1612.06777v2","created_at":"2026-07-05T00:42:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.06777","created_at":"2026-07-05T00:42:51Z"},{"alias_kind":"pith_short_12","alias_value":"QW3WON7CPYDJ","created_at":"2026-07-05T00:42:51Z"},{"alias_kind":"pith_short_16","alias_value":"QW3WON7CPYDJTRTP","created_at":"2026-07-05T00:42:51Z"},{"alias_kind":"pith_short_8","alias_value":"QW3WON7C","created_at":"2026-07-05T00:42:51Z"}],"graph_snapshots":[{"event_id":"sha256:13185f0c06bebef9158757deff375f75b67f5f80238dfe316289cf58f6225bcc","target":"graph","created_at":"2026-07-05T00:42:51Z","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/1612.06777/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Phase-space representations as given by Wigner functions are a powerful tool for representing the quantum state and characterizing its time evolution in the case of infinite-dimensional quantum systems and have been widely used in quantum optics and beyond. Continuous phase spaces have also been studied for finite-dimensional quantum systems such as spin systems. However, much less is known for finite-dimensional, coupled systems, and we present a complete theory of Wigner functions for this case. In particular, we provide a self-contained Wigner formalism for describing and predicting the tim","authors_text":"B\\'alint Koczor, Robert Zeier, Steffen J. Glaser","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-20T17:38:34Z","title":"Time evolution of coupled spin systems in a generalized Wigner representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.06777","kind":"arxiv","version":2},"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":"sha256:3620d50bc9d9725b38b67cad8f9df6ef34c8b9363eef9f606c7b0c0b79ce51c9","target":"record","created_at":"2026-07-05T00:42:51Z","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":"32caff491c36a6a224c5d0120459a872344750a8941707d60e8821042a06b361","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-20T17:38:34Z","title_canon_sha256":"26edf2369c50f5709da6f2995c644e19f65c08d3812b4acb329c51865bb376d2"},"schema_version":"1.0","source":{"id":"1612.06777","kind":"arxiv","version":2}},"canonical_sha256":"85b76737e27e0699c66fc72b8f579f465afe01b1f226f5a748b67500136183c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85b76737e27e0699c66fc72b8f579f465afe01b1f226f5a748b67500136183c6","first_computed_at":"2026-07-05T00:42:51.211799Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:42:51.211799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LP/LMrisvUmrPImz/deqELk76VhfM6eF6xag4CViKPHs316x6pAm66VFdBFgR+VELx5fDtndwQFE01LzUfaQDg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:42:51.212196Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.06777","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3620d50bc9d9725b38b67cad8f9df6ef34c8b9363eef9f606c7b0c0b79ce51c9","sha256:13185f0c06bebef9158757deff375f75b67f5f80238dfe316289cf58f6225bcc"],"state_sha256":"4c14d53aa7f6a8e8deb092f4bfb653713aa13d9a5b02ddd6a3a5d7ee3165cab4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gnlauu1q13Yv/+PJ+foG3obsV7+XTycU/3Qy11/85+LY5raMBoixtQKv8+hCKZRW5XQTpdDtaTrDT9PLQfTsBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T20:58:03.640237Z","bundle_sha256":"7162ed451b9e64b86c9674eb5e530cb102c7c7ea2cd8d07caa7b240f86040711"}}