{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:6BC2Y57QH2R7FXLRPQXXC2DNAW","short_pith_number":"pith:6BC2Y57Q","canonical_record":{"source":{"id":"2302.13208","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-02-26T02:21:31Z","cross_cats_sorted":[],"title_canon_sha256":"6704055056e962118b9215dd76a21539ad2dcc3ccc09aeaa88b0d4b2aacb04f1","abstract_canon_sha256":"44c5272b9ea7a0fda6709d141284a23561fa26f98f52ea5c1ce12ac71e48ea04"},"schema_version":"1.0"},"canonical_sha256":"f045ac77f03ea3f2dd717c2f71686d058234256566dd7c014cee8051d0f1f0b1","source":{"kind":"arxiv","id":"2302.13208","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.13208","created_at":"2026-07-05T07:37:10Z"},{"alias_kind":"arxiv_version","alias_value":"2302.13208v4","created_at":"2026-07-05T07:37:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.13208","created_at":"2026-07-05T07:37:10Z"},{"alias_kind":"pith_short_12","alias_value":"6BC2Y57QH2R7","created_at":"2026-07-05T07:37:10Z"},{"alias_kind":"pith_short_16","alias_value":"6BC2Y57QH2R7FXLR","created_at":"2026-07-05T07:37:10Z"},{"alias_kind":"pith_short_8","alias_value":"6BC2Y57Q","created_at":"2026-07-05T07:37:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:6BC2Y57QH2R7FXLRPQXXC2DNAW","target":"record","payload":{"canonical_record":{"source":{"id":"2302.13208","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-02-26T02:21:31Z","cross_cats_sorted":[],"title_canon_sha256":"6704055056e962118b9215dd76a21539ad2dcc3ccc09aeaa88b0d4b2aacb04f1","abstract_canon_sha256":"44c5272b9ea7a0fda6709d141284a23561fa26f98f52ea5c1ce12ac71e48ea04"},"schema_version":"1.0"},"canonical_sha256":"f045ac77f03ea3f2dd717c2f71686d058234256566dd7c014cee8051d0f1f0b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:37:10.677610Z","signature_b64":"AyuxQxv4UibxDvJ1srduHx+nf5lbqpEOOHlCB12jiJ+5UdvV1VvFL7wayHthgx71k004n10MPfGzl5MWHGnMAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f045ac77f03ea3f2dd717c2f71686d058234256566dd7c014cee8051d0f1f0b1","last_reissued_at":"2026-07-05T07:37:10.677067Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:37:10.677067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.13208","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:37:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W2amNAIYIVkV1r9QPYY++BbgMY4hG6VNf8USNo6PKuOs7qVbuekRGdYVhN6XU0GveVsgjX3MKg5GbG3/hUoMAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T07:14:44.356057Z"},"content_sha256":"d3dbfe732622326452ad0c370a119dd538e1f805b84d444459bbd6a13c9c403e","schema_version":"1.0","event_id":"sha256:d3dbfe732622326452ad0c370a119dd538e1f805b84d444459bbd6a13c9c403e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:6BC2Y57QH2R7FXLRPQXXC2DNAW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The wave operator representation of quantum and classical dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Denys I. Bondar, Dmitry V. Zhdanov, Gerard McCaul","submitted_at":"2023-02-26T02:21:31Z","abstract_excerpt":"The choice of mathematical representation when describing physical systems is of great consequence, and this choice is usually determined by the properties of the problem at hand. Here we examine the little-known wave operator representation of quantum dynamics, and explore its connection to standard methods of quantum dynamics. This method takes as its central object the square root of the density matrix, and consequently enjoys several unusual advantages over standard representations. By combining this with purification techniques imported from quantum information, we are able to obtain a nu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.13208","kind":"arxiv","version":4},"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/2302.13208/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":"2026-07-05T07:37:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VmmC992a57EuWZCjjt36J2pPsuyCOP82Nydb9rtOsAETYLv7R8akENj+NNbDCNlwZvenpENZj5VX963i9KMqDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T07:14:44.356736Z"},"content_sha256":"11e5755c9a783ddefd575f949449ddbde9934373715642f797fd70732603e33a","schema_version":"1.0","event_id":"sha256:11e5755c9a783ddefd575f949449ddbde9934373715642f797fd70732603e33a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6BC2Y57QH2R7FXLRPQXXC2DNAW/bundle.json","state_url":"https://pith.science/pith/6BC2Y57QH2R7FXLRPQXXC2DNAW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6BC2Y57QH2R7FXLRPQXXC2DNAW/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":"2026-07-08T07:14:44Z","links":{"resolver":"https://pith.science/pith/6BC2Y57QH2R7FXLRPQXXC2DNAW","bundle":"https://pith.science/pith/6BC2Y57QH2R7FXLRPQXXC2DNAW/bundle.json","state":"https://pith.science/pith/6BC2Y57QH2R7FXLRPQXXC2DNAW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6BC2Y57QH2R7FXLRPQXXC2DNAW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6BC2Y57QH2R7FXLRPQXXC2DNAW","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":"44c5272b9ea7a0fda6709d141284a23561fa26f98f52ea5c1ce12ac71e48ea04","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-02-26T02:21:31Z","title_canon_sha256":"6704055056e962118b9215dd76a21539ad2dcc3ccc09aeaa88b0d4b2aacb04f1"},"schema_version":"1.0","source":{"id":"2302.13208","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.13208","created_at":"2026-07-05T07:37:10Z"},{"alias_kind":"arxiv_version","alias_value":"2302.13208v4","created_at":"2026-07-05T07:37:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.13208","created_at":"2026-07-05T07:37:10Z"},{"alias_kind":"pith_short_12","alias_value":"6BC2Y57QH2R7","created_at":"2026-07-05T07:37:10Z"},{"alias_kind":"pith_short_16","alias_value":"6BC2Y57QH2R7FXLR","created_at":"2026-07-05T07:37:10Z"},{"alias_kind":"pith_short_8","alias_value":"6BC2Y57Q","created_at":"2026-07-05T07:37:10Z"}],"graph_snapshots":[{"event_id":"sha256:11e5755c9a783ddefd575f949449ddbde9934373715642f797fd70732603e33a","target":"graph","created_at":"2026-07-05T07:37:10Z","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/2302.13208/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The choice of mathematical representation when describing physical systems is of great consequence, and this choice is usually determined by the properties of the problem at hand. Here we examine the little-known wave operator representation of quantum dynamics, and explore its connection to standard methods of quantum dynamics. This method takes as its central object the square root of the density matrix, and consequently enjoys several unusual advantages over standard representations. By combining this with purification techniques imported from quantum information, we are able to obtain a nu","authors_text":"Denys I. Bondar, Dmitry V. Zhdanov, Gerard McCaul","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-02-26T02:21:31Z","title":"The wave operator representation of quantum and classical dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.13208","kind":"arxiv","version":4},"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:d3dbfe732622326452ad0c370a119dd538e1f805b84d444459bbd6a13c9c403e","target":"record","created_at":"2026-07-05T07:37:10Z","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":"44c5272b9ea7a0fda6709d141284a23561fa26f98f52ea5c1ce12ac71e48ea04","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-02-26T02:21:31Z","title_canon_sha256":"6704055056e962118b9215dd76a21539ad2dcc3ccc09aeaa88b0d4b2aacb04f1"},"schema_version":"1.0","source":{"id":"2302.13208","kind":"arxiv","version":4}},"canonical_sha256":"f045ac77f03ea3f2dd717c2f71686d058234256566dd7c014cee8051d0f1f0b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f045ac77f03ea3f2dd717c2f71686d058234256566dd7c014cee8051d0f1f0b1","first_computed_at":"2026-07-05T07:37:10.677067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:37:10.677067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AyuxQxv4UibxDvJ1srduHx+nf5lbqpEOOHlCB12jiJ+5UdvV1VvFL7wayHthgx71k004n10MPfGzl5MWHGnMAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:37:10.677610Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.13208","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3dbfe732622326452ad0c370a119dd538e1f805b84d444459bbd6a13c9c403e","sha256:11e5755c9a783ddefd575f949449ddbde9934373715642f797fd70732603e33a"],"state_sha256":"549d14c4f002a68230f855ab962e01fbc1e860cf72dc6b31c339a1e2f7b607ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CoP48A/cP3kNd4dFG7MyMFqWT3z66RTL6A3lCUOtZDeojvk7PTVCVeY9zMyGY6IJPVt/H2PiWAs8FQ2HqrfXCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-08T07:14:44.362834Z","bundle_sha256":"742aeba988026b8ed5faa96cc36c8911d736d2c4dc7416cb3ff87a0fec0e7915"}}