{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:NEVHWOWGZ3JGHVGZKC5JIYN27G","short_pith_number":"pith:NEVHWOWG","canonical_record":{"source":{"id":"2411.04918","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-07T17:56:11Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"70439f4aad8b92e054410f47c003ee627e7823dda0ccbc6491495806f43c39fb","abstract_canon_sha256":"022818cebba2331ef134be41eb9a02d48b209aec82c6b9abbfaf9b56fb5ee44e"},"schema_version":"1.0"},"canonical_sha256":"692a7b3ac6ced263d4d950ba9461baf9800f7cb1de99168f6a0664e0cd99f6d9","source":{"kind":"arxiv","id":"2411.04918","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.04918","created_at":"2026-07-05T09:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"2411.04918v1","created_at":"2026-07-05T09:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.04918","created_at":"2026-07-05T09:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"NEVHWOWGZ3JG","created_at":"2026-07-05T09:32:36Z"},{"alias_kind":"pith_short_16","alias_value":"NEVHWOWGZ3JGHVGZ","created_at":"2026-07-05T09:32:36Z"},{"alias_kind":"pith_short_8","alias_value":"NEVHWOWG","created_at":"2026-07-05T09:32:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:NEVHWOWGZ3JGHVGZKC5JIYN27G","target":"record","payload":{"canonical_record":{"source":{"id":"2411.04918","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-07T17:56:11Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"70439f4aad8b92e054410f47c003ee627e7823dda0ccbc6491495806f43c39fb","abstract_canon_sha256":"022818cebba2331ef134be41eb9a02d48b209aec82c6b9abbfaf9b56fb5ee44e"},"schema_version":"1.0"},"canonical_sha256":"692a7b3ac6ced263d4d950ba9461baf9800f7cb1de99168f6a0664e0cd99f6d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:32:36.109885Z","signature_b64":"Pf3YuXNDFMBOdLCShkFay3zWXUqiiwDiv/RlTirrTsJi5PMrBhyUIx8KL66nNgdYLcYgzjQE6hD7+19uK8nSAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"692a7b3ac6ced263d4d950ba9461baf9800f7cb1de99168f6a0664e0cd99f6d9","last_reissued_at":"2026-07-05T09:32:36.109359Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:32:36.109359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.04918","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":"2026-07-05T09:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IA9QhCvRXnRw9Mtlt4GXmRP8QvagPGMQr8N+lXA8lYEYNl7y1r1QlRMGt9fV8gus0RQBxG3MUeNYhaWZ+j4RBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:21:24.244299Z"},"content_sha256":"4162098012bc878505a460aa4308e85c4723af54637c6a163bc2ac48cdba6c5f","schema_version":"1.0","event_id":"sha256:4162098012bc878505a460aa4308e85c4723af54637c6a163bc2ac48cdba6c5f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:NEVHWOWGZ3JGHVGZKC5JIYN27G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From bosons and fermions to spins: A multi-mode extension of the Jordan-Schwinger map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"quant-ph","authors_text":"Beno\\^it Dubus, Nicolas J. Cerf, Tobias Haas","submitted_at":"2024-11-07T17:56:11Z","abstract_excerpt":"The Jordan-Schwinger map is widely employed to switch between bosonic or fermionic mode operators and spin observables, with numerous applications ranging from quantum field theories of magnetism and ultracold quantum gases to quantum optics. While the construction of observables obeying the algebra of spin operators across multiple modes is straightforward, a mapping between bosonic or fermionic Fock states and spin states has remained elusive beyond the two-mode case. Here, we generalize the Jordan-Schwinger map by algorithmically constructing complete sets of spin states over several bosoni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.04918","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/2411.04918/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":"2026-07-05T09:32:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2m1gnqzQdcnhlCF6nqVuERk2sgKw8TXp/pUGHj+J8vVqwQSRGXtpn7xuVlV39fAVhS5SqlfQ0s70HDeO7cQPBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T00:21:24.244828Z"},"content_sha256":"b07d110bd9249588011eea65734cfac66c9b99dafa3068022ca89e8287bbb7c7","schema_version":"1.0","event_id":"sha256:b07d110bd9249588011eea65734cfac66c9b99dafa3068022ca89e8287bbb7c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NEVHWOWGZ3JGHVGZKC5JIYN27G/bundle.json","state_url":"https://pith.science/pith/NEVHWOWGZ3JGHVGZKC5JIYN27G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NEVHWOWGZ3JGHVGZKC5JIYN27G/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":"2026-08-09T00:21:24Z","links":{"resolver":"https://pith.science/pith/NEVHWOWGZ3JGHVGZKC5JIYN27G","bundle":"https://pith.science/pith/NEVHWOWGZ3JGHVGZKC5JIYN27G/bundle.json","state":"https://pith.science/pith/NEVHWOWGZ3JGHVGZKC5JIYN27G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NEVHWOWGZ3JGHVGZKC5JIYN27G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NEVHWOWGZ3JGHVGZKC5JIYN27G","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":"022818cebba2331ef134be41eb9a02d48b209aec82c6b9abbfaf9b56fb5ee44e","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-07T17:56:11Z","title_canon_sha256":"70439f4aad8b92e054410f47c003ee627e7823dda0ccbc6491495806f43c39fb"},"schema_version":"1.0","source":{"id":"2411.04918","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.04918","created_at":"2026-07-05T09:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"2411.04918v1","created_at":"2026-07-05T09:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.04918","created_at":"2026-07-05T09:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"NEVHWOWGZ3JG","created_at":"2026-07-05T09:32:36Z"},{"alias_kind":"pith_short_16","alias_value":"NEVHWOWGZ3JGHVGZ","created_at":"2026-07-05T09:32:36Z"},{"alias_kind":"pith_short_8","alias_value":"NEVHWOWG","created_at":"2026-07-05T09:32:36Z"}],"graph_snapshots":[{"event_id":"sha256:b07d110bd9249588011eea65734cfac66c9b99dafa3068022ca89e8287bbb7c7","target":"graph","created_at":"2026-07-05T09:32:36Z","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/2411.04918/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Jordan-Schwinger map is widely employed to switch between bosonic or fermionic mode operators and spin observables, with numerous applications ranging from quantum field theories of magnetism and ultracold quantum gases to quantum optics. While the construction of observables obeying the algebra of spin operators across multiple modes is straightforward, a mapping between bosonic or fermionic Fock states and spin states has remained elusive beyond the two-mode case. Here, we generalize the Jordan-Schwinger map by algorithmically constructing complete sets of spin states over several bosoni","authors_text":"Beno\\^it Dubus, Nicolas J. Cerf, Tobias Haas","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-07T17:56:11Z","title":"From bosons and fermions to spins: A multi-mode extension of the Jordan-Schwinger map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.04918","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":"sha256:4162098012bc878505a460aa4308e85c4723af54637c6a163bc2ac48cdba6c5f","target":"record","created_at":"2026-07-05T09:32:36Z","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":"022818cebba2331ef134be41eb9a02d48b209aec82c6b9abbfaf9b56fb5ee44e","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-07T17:56:11Z","title_canon_sha256":"70439f4aad8b92e054410f47c003ee627e7823dda0ccbc6491495806f43c39fb"},"schema_version":"1.0","source":{"id":"2411.04918","kind":"arxiv","version":1}},"canonical_sha256":"692a7b3ac6ced263d4d950ba9461baf9800f7cb1de99168f6a0664e0cd99f6d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"692a7b3ac6ced263d4d950ba9461baf9800f7cb1de99168f6a0664e0cd99f6d9","first_computed_at":"2026-07-05T09:32:36.109359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:32:36.109359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pf3YuXNDFMBOdLCShkFay3zWXUqiiwDiv/RlTirrTsJi5PMrBhyUIx8KL66nNgdYLcYgzjQE6hD7+19uK8nSAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:32:36.109885Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.04918","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4162098012bc878505a460aa4308e85c4723af54637c6a163bc2ac48cdba6c5f","sha256:b07d110bd9249588011eea65734cfac66c9b99dafa3068022ca89e8287bbb7c7"],"state_sha256":"88667bb28de4604a37d0935eb4dc5d02518c81f1c507b4437d700c2d0f44413e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iCBgDo1w0hLSt6VuFSE5JQGtdwBYL2NqVBzeuq4OCcNtiFqBzm8Op9J5GrJf4pUE54LPk2V4oXCnlAVbf7e9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T00:21:24.248767Z","bundle_sha256":"2f93a35ad311dcd1fbf6ae9d2c5871a3848b84321fe40dd46134b2fa93e60d83"}}