{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:YRUAE6E4M2ZFVDZ2X5BOPMHPQT","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":"24748e1cc13bee17421c60a80849f10eb5f79e18266dc363e64996c0548fbdc9","cross_cats_sorted":["physics.optics"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-01-19T14:09:42Z","title_canon_sha256":"68e3887dfd0b62195d33de11ac76f2f3d435e2f1e87798e9de40f362f18e4cc1"},"schema_version":"1.0","source":{"id":"2201.07611","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.07611","created_at":"2026-07-05T04:11:29Z"},{"alias_kind":"arxiv_version","alias_value":"2201.07611v2","created_at":"2026-07-05T04:11:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.07611","created_at":"2026-07-05T04:11:29Z"},{"alias_kind":"pith_short_12","alias_value":"YRUAE6E4M2ZF","created_at":"2026-07-05T04:11:29Z"},{"alias_kind":"pith_short_16","alias_value":"YRUAE6E4M2ZFVDZ2","created_at":"2026-07-05T04:11:29Z"},{"alias_kind":"pith_short_8","alias_value":"YRUAE6E4","created_at":"2026-07-05T04:11:29Z"}],"graph_snapshots":[{"event_id":"sha256:0a8511d097ba1577eab2ecc5ac98fcd2b8622ae1db6c3c8199355adc9c456c7a","target":"graph","created_at":"2026-07-05T04:11:29Z","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/2201.07611/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a framework that provides a straightforward approach to fully exploit the permutational symmetry of identical multi-level systems. By taking into account the permutational symmetry, we outline a simple scheme that allows to map the dynamics of $N$ identical $d$-level systems to the dynamics of $d$ bosonic modes with $N$ particles, achieving an exponential reduction on the dimensionality of the problem in a simple and straightforward way. In particular, we consider the Lindblad dynamics of several identical multi-level systems interacting with a common subsystem under the action of c","authors_text":"Johannes Feist, Rui E. F. Silva","cross_cats":["physics.optics"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-01-19T14:09:42Z","title":"Permutational symmetry for identical multi-level systems: a second quantized approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.07611","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":"sha256:86b67a00e53f60d29d06c812362daff5c9eb1b4e0850014c46c44375d7cdcfcb","target":"record","created_at":"2026-07-05T04:11:29Z","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":"24748e1cc13bee17421c60a80849f10eb5f79e18266dc363e64996c0548fbdc9","cross_cats_sorted":["physics.optics"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-01-19T14:09:42Z","title_canon_sha256":"68e3887dfd0b62195d33de11ac76f2f3d435e2f1e87798e9de40f362f18e4cc1"},"schema_version":"1.0","source":{"id":"2201.07611","kind":"arxiv","version":2}},"canonical_sha256":"c46802789c66b25a8f3abf42e7b0ef84c2c2112259a66f05d65cab1b3d5ae111","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c46802789c66b25a8f3abf42e7b0ef84c2c2112259a66f05d65cab1b3d5ae111","first_computed_at":"2026-07-05T04:11:29.994323Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:11:29.994323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fvLtOZt0XEb5ELz0axvbMKW9fHm6X4rX3h5SnPljuKWofS1UGVucyUwiLlOWg9/KA0/OlBPcxauDO91vwZ7SBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:11:29.994660Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.07611","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86b67a00e53f60d29d06c812362daff5c9eb1b4e0850014c46c44375d7cdcfcb","sha256:0a8511d097ba1577eab2ecc5ac98fcd2b8622ae1db6c3c8199355adc9c456c7a"],"state_sha256":"8be4813d25d2246b662fb1aeee5ee10fad91e693db48951d95c5da8e4a2a3815"}