{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:MV3RO4Y42NWVKR43VMFH57ONKB","short_pith_number":"pith:MV3RO4Y4","canonical_record":{"source":{"id":"1510.03140","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-12T04:55:37Z","cross_cats_sorted":[],"title_canon_sha256":"df879ab22fc765d687c3ddcefde746dca36be21fb5b1789021216e47e5c0417f","abstract_canon_sha256":"8451ff2144e9336657ad9820331c81b3899049e264666c8669bc176d96fa1701"},"schema_version":"1.0"},"canonical_sha256":"657717731cd36d55479bab0a7efdcd5071ffa41ac461ff1ac6d223ce15acad80","source":{"kind":"arxiv","id":"1510.03140","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03140","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03140v2","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03140","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"pith_short_12","alias_value":"MV3RO4Y42NWV","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MV3RO4Y42NWVKR43","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MV3RO4Y4","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:MV3RO4Y42NWVKR43VMFH57ONKB","target":"record","payload":{"canonical_record":{"source":{"id":"1510.03140","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-12T04:55:37Z","cross_cats_sorted":[],"title_canon_sha256":"df879ab22fc765d687c3ddcefde746dca36be21fb5b1789021216e47e5c0417f","abstract_canon_sha256":"8451ff2144e9336657ad9820331c81b3899049e264666c8669bc176d96fa1701"},"schema_version":"1.0"},"canonical_sha256":"657717731cd36d55479bab0a7efdcd5071ffa41ac461ff1ac6d223ce15acad80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:58.124639Z","signature_b64":"QQahzXINgdSMUgsmDJgj2V1Q9vUAQtfhR6m2ldoioAUG8taR3hJ9SyiUNbaBNLT44BafcBeA3dNshA+SKpbRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"657717731cd36d55479bab0a7efdcd5071ffa41ac461ff1ac6d223ce15acad80","last_reissued_at":"2026-05-18T01:15:58.123946Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:58.123946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.03140","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PuWZEZ9pS2IvR8mruFSRRLCfD5v8VV4PXLDjrdUl+EnXO3o4TI/izd3fIp2gMf5igxHVPbEm0pjBqhv57dgSDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:54:08.748855Z"},"content_sha256":"eac6c8a996042d07a9c4bfe6b1f3d94311a87570960738fcc9479ea57d68a577","schema_version":"1.0","event_id":"sha256:eac6c8a996042d07a9c4bfe6b1f3d94311a87570960738fcc9479ea57d68a577"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:MV3RO4Y42NWVKR43VMFH57ONKB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Path integral approach to the quantum fidelity amplitude","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Doron Cohen, Jiri Vanicek","submitted_at":"2015-10-12T04:55:37Z","abstract_excerpt":"The Loschmidt echo is a measure of quantum irreversibility and is determined by the fidelity amplitude of an imperfect time-reversal protocol. Fidelity amplitude plays an important role both in the foundations of quantum mechanics and its applications, such as time-resolved electronic spectroscopy. We derive an exact path integral formula for the fidelity amplitude and use it to obtain a series of increasingly accurate semiclassical approximations by truncating an exact expansion of the path integral exponent. While the zeroth-order expansion results in a remarkably simple, yet nontrivial appr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03140","kind":"arxiv","version":2},"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":"2026-05-18T01:15:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J3Pb5NC0gJ1jv6Ifl9Zl/MxHUUSXGipRC92Lnd8ifWNpjM+k1Dn/Wys0fYVB234wVbZ1L222CwYCSka7fC3WBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:54:08.749207Z"},"content_sha256":"aff2ae1456fe8e4e40fc7178bb4d251194133d8e2f38b7ae02e77c86b3f1a733","schema_version":"1.0","event_id":"sha256:aff2ae1456fe8e4e40fc7178bb4d251194133d8e2f38b7ae02e77c86b3f1a733"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MV3RO4Y42NWVKR43VMFH57ONKB/bundle.json","state_url":"https://pith.science/pith/MV3RO4Y42NWVKR43VMFH57ONKB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MV3RO4Y42NWVKR43VMFH57ONKB/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":"2026-06-03T19:54:08Z","links":{"resolver":"https://pith.science/pith/MV3RO4Y42NWVKR43VMFH57ONKB","bundle":"https://pith.science/pith/MV3RO4Y42NWVKR43VMFH57ONKB/bundle.json","state":"https://pith.science/pith/MV3RO4Y42NWVKR43VMFH57ONKB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MV3RO4Y42NWVKR43VMFH57ONKB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:MV3RO4Y42NWVKR43VMFH57ONKB","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":"8451ff2144e9336657ad9820331c81b3899049e264666c8669bc176d96fa1701","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-12T04:55:37Z","title_canon_sha256":"df879ab22fc765d687c3ddcefde746dca36be21fb5b1789021216e47e5c0417f"},"schema_version":"1.0","source":{"id":"1510.03140","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03140","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03140v2","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03140","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"pith_short_12","alias_value":"MV3RO4Y42NWV","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MV3RO4Y42NWVKR43","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MV3RO4Y4","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:aff2ae1456fe8e4e40fc7178bb4d251194133d8e2f38b7ae02e77c86b3f1a733","target":"graph","created_at":"2026-05-18T01:15:58Z","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 Loschmidt echo is a measure of quantum irreversibility and is determined by the fidelity amplitude of an imperfect time-reversal protocol. Fidelity amplitude plays an important role both in the foundations of quantum mechanics and its applications, such as time-resolved electronic spectroscopy. We derive an exact path integral formula for the fidelity amplitude and use it to obtain a series of increasingly accurate semiclassical approximations by truncating an exact expansion of the path integral exponent. While the zeroth-order expansion results in a remarkably simple, yet nontrivial appr","authors_text":"Doron Cohen, Jiri Vanicek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-12T04:55:37Z","title":"Path integral approach to the quantum fidelity amplitude"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03140","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:eac6c8a996042d07a9c4bfe6b1f3d94311a87570960738fcc9479ea57d68a577","target":"record","created_at":"2026-05-18T01:15:58Z","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":"8451ff2144e9336657ad9820331c81b3899049e264666c8669bc176d96fa1701","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-10-12T04:55:37Z","title_canon_sha256":"df879ab22fc765d687c3ddcefde746dca36be21fb5b1789021216e47e5c0417f"},"schema_version":"1.0","source":{"id":"1510.03140","kind":"arxiv","version":2}},"canonical_sha256":"657717731cd36d55479bab0a7efdcd5071ffa41ac461ff1ac6d223ce15acad80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"657717731cd36d55479bab0a7efdcd5071ffa41ac461ff1ac6d223ce15acad80","first_computed_at":"2026-05-18T01:15:58.123946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:58.123946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QQahzXINgdSMUgsmDJgj2V1Q9vUAQtfhR6m2ldoioAUG8taR3hJ9SyiUNbaBNLT44BafcBeA3dNshA+SKpbRBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:58.124639Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.03140","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eac6c8a996042d07a9c4bfe6b1f3d94311a87570960738fcc9479ea57d68a577","sha256:aff2ae1456fe8e4e40fc7178bb4d251194133d8e2f38b7ae02e77c86b3f1a733"],"state_sha256":"25d215161da335fcb9945459bc09a1ab584f525f42796be181e7ec39be951154"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FuhfqAUHKvWxuB22lBfd5+xP142UPfvq887c4GpWCopUDg+mH1WpW8vmZ1VG7BpKvi22j4VHAFWT6p+7bYV9BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T19:54:08.751171Z","bundle_sha256":"b5dcf83bcf5b9333ddfe8b2896ddb487e5e8fe2612206db5486b3b3dc6248947"}}