{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:H7E4EUH477HNXDFZ7QWCMY2JYV","short_pith_number":"pith:H7E4EUH4","canonical_record":{"source":{"id":"0808.1068","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-08-07T16:26:52Z","cross_cats_sorted":[],"title_canon_sha256":"557b0976623a33c2c6f12e4cc68dee218f27442cb47482156097f3940e9fb739","abstract_canon_sha256":"1e9cd7cc238b006a3355303a7f5ebf4fac6c28463fafb27749bada6a2516223b"},"schema_version":"1.0"},"canonical_sha256":"3fc9c250fcffcedb8cb9fc2c266349c57cfdd42c99382b341b79ddf8329da4d5","source":{"kind":"arxiv","id":"0808.1068","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.1068","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"arxiv_version","alias_value":"0808.1068v1","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.1068","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"pith_short_12","alias_value":"H7E4EUH477HN","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"H7E4EUH477HNXDFZ","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"H7E4EUH4","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:H7E4EUH477HNXDFZ7QWCMY2JYV","target":"record","payload":{"canonical_record":{"source":{"id":"0808.1068","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-08-07T16:26:52Z","cross_cats_sorted":[],"title_canon_sha256":"557b0976623a33c2c6f12e4cc68dee218f27442cb47482156097f3940e9fb739","abstract_canon_sha256":"1e9cd7cc238b006a3355303a7f5ebf4fac6c28463fafb27749bada6a2516223b"},"schema_version":"1.0"},"canonical_sha256":"3fc9c250fcffcedb8cb9fc2c266349c57cfdd42c99382b341b79ddf8329da4d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:45.824907Z","signature_b64":"lzcRAfcO7RRkEiLqlS+pXzJ/eVbDdTw2vjRfNB6PQCpqeE9nN8QeE3lZuO2UGN5xiNb49V3CTwtL0XJMecT9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fc9c250fcffcedb8cb9fc2c266349c57cfdd42c99382b341b79ddf8329da4d5","last_reissued_at":"2026-05-18T02:26:45.824513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:45.824513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0808.1068","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":"2026-05-18T02:26:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vqdQl5js6UBb/Yx7nbhKBQmnzj1OzmkHoXDAyPhr1r6acOJbQ+/qTkwzQHprs6O4w30zDhsiWWS8mONkJJnhCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:34:09.203953Z"},"content_sha256":"c2d75508da686c861afe74c2ee2f366e9bbd46793fd8c03c66df1091c9409408","schema_version":"1.0","event_id":"sha256:c2d75508da686c861afe74c2ee2f366e9bbd46793fd8c03c66df1091c9409408"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:H7E4EUH477HNXDFZ7QWCMY2JYV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symplectic approach to quantum constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Anna C. T. Gustavsson, Dorje C. Brody, Lane P. Hughston","submitted_at":"2008-08-07T16:26:52Z","abstract_excerpt":"A general prescription for the treatment of constrained quantum motion is outlined. We consider in particular constraints defined by algebraic submanifolds of the quantum state space. The resulting formalism is applied to obtain solutions to the constrained dynamics of systems of multiple spin-1/2 particles. When the motion is constrained to a certain product space containing all of the energy eigenstates, the dynamics thus obtained are quasi-unitary in the sense that the equations of motion take a form identical to that of unitary motion, but with different boundary conditions. When the const"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.1068","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":""},"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":"2026-05-18T02:26:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A5FBn27phjY8GoUWpeGI0gsNX63P7ht+v1gShKKebu0kh8f8VDRnh/4crClKrI5LPeQGcd4Ih9qfqFYbT64XBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:34:09.204510Z"},"content_sha256":"144fe3db98b9f9d15b44409218a26df56f322c2951f64967c2f5a423cb080099","schema_version":"1.0","event_id":"sha256:144fe3db98b9f9d15b44409218a26df56f322c2951f64967c2f5a423cb080099"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H7E4EUH477HNXDFZ7QWCMY2JYV/bundle.json","state_url":"https://pith.science/pith/H7E4EUH477HNXDFZ7QWCMY2JYV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H7E4EUH477HNXDFZ7QWCMY2JYV/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":"2026-05-27T16:34:09Z","links":{"resolver":"https://pith.science/pith/H7E4EUH477HNXDFZ7QWCMY2JYV","bundle":"https://pith.science/pith/H7E4EUH477HNXDFZ7QWCMY2JYV/bundle.json","state":"https://pith.science/pith/H7E4EUH477HNXDFZ7QWCMY2JYV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H7E4EUH477HNXDFZ7QWCMY2JYV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:H7E4EUH477HNXDFZ7QWCMY2JYV","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":"1e9cd7cc238b006a3355303a7f5ebf4fac6c28463fafb27749bada6a2516223b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-08-07T16:26:52Z","title_canon_sha256":"557b0976623a33c2c6f12e4cc68dee218f27442cb47482156097f3940e9fb739"},"schema_version":"1.0","source":{"id":"0808.1068","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.1068","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"arxiv_version","alias_value":"0808.1068v1","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.1068","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"pith_short_12","alias_value":"H7E4EUH477HN","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"H7E4EUH477HNXDFZ","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"H7E4EUH4","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:144fe3db98b9f9d15b44409218a26df56f322c2951f64967c2f5a423cb080099","target":"graph","created_at":"2026-05-18T02:26:45Z","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":"A general prescription for the treatment of constrained quantum motion is outlined. We consider in particular constraints defined by algebraic submanifolds of the quantum state space. The resulting formalism is applied to obtain solutions to the constrained dynamics of systems of multiple spin-1/2 particles. When the motion is constrained to a certain product space containing all of the energy eigenstates, the dynamics thus obtained are quasi-unitary in the sense that the equations of motion take a form identical to that of unitary motion, but with different boundary conditions. When the const","authors_text":"Anna C. T. Gustavsson, Dorje C. Brody, Lane P. Hughston","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-08-07T16:26:52Z","title":"Symplectic approach to quantum constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.1068","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:c2d75508da686c861afe74c2ee2f366e9bbd46793fd8c03c66df1091c9409408","target":"record","created_at":"2026-05-18T02:26:45Z","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":"1e9cd7cc238b006a3355303a7f5ebf4fac6c28463fafb27749bada6a2516223b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-08-07T16:26:52Z","title_canon_sha256":"557b0976623a33c2c6f12e4cc68dee218f27442cb47482156097f3940e9fb739"},"schema_version":"1.0","source":{"id":"0808.1068","kind":"arxiv","version":1}},"canonical_sha256":"3fc9c250fcffcedb8cb9fc2c266349c57cfdd42c99382b341b79ddf8329da4d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fc9c250fcffcedb8cb9fc2c266349c57cfdd42c99382b341b79ddf8329da4d5","first_computed_at":"2026-05-18T02:26:45.824513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:45.824513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lzcRAfcO7RRkEiLqlS+pXzJ/eVbDdTw2vjRfNB6PQCpqeE9nN8QeE3lZuO2UGN5xiNb49V3CTwtL0XJMecT9Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:45.824907Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.1068","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2d75508da686c861afe74c2ee2f366e9bbd46793fd8c03c66df1091c9409408","sha256:144fe3db98b9f9d15b44409218a26df56f322c2951f64967c2f5a423cb080099"],"state_sha256":"0fe49075a571a176cba46c0dfc8863e6554662d3b630d7ae6c77fe76b0c78c4e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M/dU6Xy51aSBBZgedX7mTv1cNAvGSMZE+SXi5z3W593+ac4XVhVw/aOZA+sB3dpmNT0x6whGfw1L0yXoix0fAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T16:34:09.207471Z","bundle_sha256":"4da316b6e76be5036cb448ac92d29f6e673ca474198e39152c0a994d1236a1ae"}}