{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:K7BTXVBHD3OPFFLTN37RJYWYP2","short_pith_number":"pith:K7BTXVBH","canonical_record":{"source":{"id":"1202.5241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-02-23T17:30:43Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"9ab2bb1914f6569bbb2233481b4de6f3e28110e09e11f7f9425ca760abc67db4","abstract_canon_sha256":"0d43958e1052437f84befa86451cebe68874c12f62a3fc95940e66c93b86373b"},"schema_version":"1.0"},"canonical_sha256":"57c33bd4271edcf295736eff14e2d87eae123c58cb54d56e1cb799c482a90859","source":{"kind":"arxiv","id":"1202.5241","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5241","created_at":"2026-05-18T04:01:38Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5241v1","created_at":"2026-05-18T04:01:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5241","created_at":"2026-05-18T04:01:38Z"},{"alias_kind":"pith_short_12","alias_value":"K7BTXVBHD3OP","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"K7BTXVBHD3OPFFLT","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"K7BTXVBH","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:K7BTXVBHD3OPFFLTN37RJYWYP2","target":"record","payload":{"canonical_record":{"source":{"id":"1202.5241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-02-23T17:30:43Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"9ab2bb1914f6569bbb2233481b4de6f3e28110e09e11f7f9425ca760abc67db4","abstract_canon_sha256":"0d43958e1052437f84befa86451cebe68874c12f62a3fc95940e66c93b86373b"},"schema_version":"1.0"},"canonical_sha256":"57c33bd4271edcf295736eff14e2d87eae123c58cb54d56e1cb799c482a90859","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:38.667691Z","signature_b64":"0O7jXy+O2G53bUft5UMnbDSkb/cWo0VRIh2Y61HlIttnDSw34pj3jTloiWOmpIS21bdBOABbFnD+4VlNA7M2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57c33bd4271edcf295736eff14e2d87eae123c58cb54d56e1cb799c482a90859","last_reissued_at":"2026-05-18T04:01:38.666853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:38.666853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.5241","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":"2026-05-18T04:01:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QpJ6dp+4X+fzI1IkTiCGfnMSolUM60PH9n0TaPUZR41KGrKEkxkkPDGTn4Yc/1fmL8p3vHW6C+xk0HunvNXTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:19:15.759663Z"},"content_sha256":"8287ea51a5889e02b7af6f16ed43c039aa562f90dfdb7fd1a8fd509b8803f840","schema_version":"1.0","event_id":"sha256:8287ea51a5889e02b7af6f16ed43c039aa562f90dfdb7fd1a8fd509b8803f840"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:K7BTXVBHD3OPFFLTN37RJYWYP2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A vacuum-adapted approach to quantum Feynman-Kac formulae","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Adam G. Skalski, Alexander C. R. Belton, J. Martin Lindsay","submitted_at":"2012-02-23T17:30:43Z","abstract_excerpt":"The vacuum-adapted formulation of quantum stochastic calculus is employed to perturb expectation semigroups via a Feynman-Kac formula. This gives an alternative perspective on the perturbation theory for quantum stochastic flows that has recently been developed by the authors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5241","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":"2026-05-18T04:01:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vWzp/u1+d+qN9/VrmuLUbBvVp4ajtkkFAXBXOEh1TJ85hM6Mdds0YUa29n2OqQibjPTevvFcImar+HA7tmSPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:19:15.760017Z"},"content_sha256":"718f10a510fa2c5439ff938e2cba74b7f328a6f70d3d8f3122ce9c2e227e9e7a","schema_version":"1.0","event_id":"sha256:718f10a510fa2c5439ff938e2cba74b7f328a6f70d3d8f3122ce9c2e227e9e7a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K7BTXVBHD3OPFFLTN37RJYWYP2/bundle.json","state_url":"https://pith.science/pith/K7BTXVBHD3OPFFLTN37RJYWYP2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K7BTXVBHD3OPFFLTN37RJYWYP2/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":"2026-06-02T01:19:15Z","links":{"resolver":"https://pith.science/pith/K7BTXVBHD3OPFFLTN37RJYWYP2","bundle":"https://pith.science/pith/K7BTXVBHD3OPFFLTN37RJYWYP2/bundle.json","state":"https://pith.science/pith/K7BTXVBHD3OPFFLTN37RJYWYP2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K7BTXVBHD3OPFFLTN37RJYWYP2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:K7BTXVBHD3OPFFLTN37RJYWYP2","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":"0d43958e1052437f84befa86451cebe68874c12f62a3fc95940e66c93b86373b","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-02-23T17:30:43Z","title_canon_sha256":"9ab2bb1914f6569bbb2233481b4de6f3e28110e09e11f7f9425ca760abc67db4"},"schema_version":"1.0","source":{"id":"1202.5241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5241","created_at":"2026-05-18T04:01:38Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5241v1","created_at":"2026-05-18T04:01:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5241","created_at":"2026-05-18T04:01:38Z"},{"alias_kind":"pith_short_12","alias_value":"K7BTXVBHD3OP","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"K7BTXVBHD3OPFFLT","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"K7BTXVBH","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:718f10a510fa2c5439ff938e2cba74b7f328a6f70d3d8f3122ce9c2e227e9e7a","target":"graph","created_at":"2026-05-18T04:01:38Z","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":"The vacuum-adapted formulation of quantum stochastic calculus is employed to perturb expectation semigroups via a Feynman-Kac formula. This gives an alternative perspective on the perturbation theory for quantum stochastic flows that has recently been developed by the authors.","authors_text":"Adam G. Skalski, Alexander C. R. Belton, J. Martin Lindsay","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-02-23T17:30:43Z","title":"A vacuum-adapted approach to quantum Feynman-Kac formulae"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5241","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":"sha256:8287ea51a5889e02b7af6f16ed43c039aa562f90dfdb7fd1a8fd509b8803f840","target":"record","created_at":"2026-05-18T04:01:38Z","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":"0d43958e1052437f84befa86451cebe68874c12f62a3fc95940e66c93b86373b","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-02-23T17:30:43Z","title_canon_sha256":"9ab2bb1914f6569bbb2233481b4de6f3e28110e09e11f7f9425ca760abc67db4"},"schema_version":"1.0","source":{"id":"1202.5241","kind":"arxiv","version":1}},"canonical_sha256":"57c33bd4271edcf295736eff14e2d87eae123c58cb54d56e1cb799c482a90859","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57c33bd4271edcf295736eff14e2d87eae123c58cb54d56e1cb799c482a90859","first_computed_at":"2026-05-18T04:01:38.666853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:38.666853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0O7jXy+O2G53bUft5UMnbDSkb/cWo0VRIh2Y61HlIttnDSw34pj3jTloiWOmpIS21bdBOABbFnD+4VlNA7M2Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:38.667691Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8287ea51a5889e02b7af6f16ed43c039aa562f90dfdb7fd1a8fd509b8803f840","sha256:718f10a510fa2c5439ff938e2cba74b7f328a6f70d3d8f3122ce9c2e227e9e7a"],"state_sha256":"4ba09fa3fbcae19aadc3afe6abc2592cf7a92c5be2639520a71c27e1f7300879"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z9N/TyITfQyAWvPrdg77cd+kq0O2/BCj+58yCpns8kdpU4MIQDR72SlaqUGeZ8OfRPCc0wZ74mmbLy6A00W2AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:19:15.761935Z","bundle_sha256":"25c18651f0d067de58402cfb879944a18248302ece42a0b11b749498c1336138"}}