{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:K6IIU2HGL5ERL5BQT26Q3DT3FH","short_pith_number":"pith:K6IIU2HG","canonical_record":{"source":{"id":"0903.1958","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-11T12:10:55Z","cross_cats_sorted":[],"title_canon_sha256":"f3ca31fef090a72c2eab2847a4f8f1421d60a46133f4f63187ceccb528c32fcb","abstract_canon_sha256":"5fe0e0648eba4295c5544d981d32eafbd97df6ac10808f38c6989f28916728e5"},"schema_version":"1.0"},"canonical_sha256":"57908a68e65f4915f4309ebd0d8e7b29e788ee63e102a5c47189f6c72cd7ca1c","source":{"kind":"arxiv","id":"0903.1958","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.1958","created_at":"2026-05-18T02:14:35Z"},{"alias_kind":"arxiv_version","alias_value":"0903.1958v2","created_at":"2026-05-18T02:14:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.1958","created_at":"2026-05-18T02:14:35Z"},{"alias_kind":"pith_short_12","alias_value":"K6IIU2HGL5ER","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"K6IIU2HGL5ERL5BQ","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"K6IIU2HG","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:K6IIU2HGL5ERL5BQT26Q3DT3FH","target":"record","payload":{"canonical_record":{"source":{"id":"0903.1958","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-11T12:10:55Z","cross_cats_sorted":[],"title_canon_sha256":"f3ca31fef090a72c2eab2847a4f8f1421d60a46133f4f63187ceccb528c32fcb","abstract_canon_sha256":"5fe0e0648eba4295c5544d981d32eafbd97df6ac10808f38c6989f28916728e5"},"schema_version":"1.0"},"canonical_sha256":"57908a68e65f4915f4309ebd0d8e7b29e788ee63e102a5c47189f6c72cd7ca1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:35.942546Z","signature_b64":"x2OvmTJUdWhVGVJzQgDvtUBbjlpKJJPGG165ZKCP5gf18zvaVjH+HxBTcRX41uLDiq/E43sSPPouIcg5/JEECA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57908a68e65f4915f4309ebd0d8e7b29e788ee63e102a5c47189f6c72cd7ca1c","last_reissued_at":"2026-05-18T02:14:35.941936Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:35.941936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0903.1958","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":"2026-05-18T02:14:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hxp8Xvh9atID2OLl0NCgdsipO0rqsHgXQRuJk9bGhJ5gL3lqlFUVw9lzMalAIIyxt9qPBjNxLdTPfea1XRiLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T10:15:55.848617Z"},"content_sha256":"844cee02f0317fa7a52e7da2585d10fd154a90006732e4a28db267783d8f35b9","schema_version":"1.0","event_id":"sha256:844cee02f0317fa7a52e7da2585d10fd154a90006732e4a28db267783d8f35b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:K6IIU2HGL5ERL5BQT26Q3DT3FH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Arrival Time Formula from Decoherent Histories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"J.J.Halliwell, J.M.Yearsley","submitted_at":"2009-03-11T12:10:55Z","abstract_excerpt":"In the arrival time problem in quantum mechanics, a standard formula that frequently emerges as the probability for crossing the origin during a given time interval is the current integrated over that time interval. This is semiclassically correct but can be negative due to backflow. Here, we show that this formula naturally arises in a decoherent histories analysis of the arrival time problem. For a variety of initial states, we show that histories crossing during different time intervals are approximately decoherent. Probabilities may therefore be assigned and coincide with the standard form"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.1958","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":"2026-05-18T02:14:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KZ1NBVA2b7g92j52jrboYmjqkYTHuGQu+6J/y66/mVz9n6szFC4KGRjUlFuvDRp+XKSFfejdzfmeZF8B/D0EBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T10:15:55.849301Z"},"content_sha256":"417224e28b65e3b1ad6b9c7751fd2a9793e9abfca6ad0c63fbf0b63f4b169748","schema_version":"1.0","event_id":"sha256:417224e28b65e3b1ad6b9c7751fd2a9793e9abfca6ad0c63fbf0b63f4b169748"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K6IIU2HGL5ERL5BQT26Q3DT3FH/bundle.json","state_url":"https://pith.science/pith/K6IIU2HGL5ERL5BQT26Q3DT3FH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K6IIU2HGL5ERL5BQT26Q3DT3FH/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":"2026-05-24T10:15:55Z","links":{"resolver":"https://pith.science/pith/K6IIU2HGL5ERL5BQT26Q3DT3FH","bundle":"https://pith.science/pith/K6IIU2HGL5ERL5BQT26Q3DT3FH/bundle.json","state":"https://pith.science/pith/K6IIU2HGL5ERL5BQT26Q3DT3FH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K6IIU2HGL5ERL5BQT26Q3DT3FH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:K6IIU2HGL5ERL5BQT26Q3DT3FH","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":"5fe0e0648eba4295c5544d981d32eafbd97df6ac10808f38c6989f28916728e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-11T12:10:55Z","title_canon_sha256":"f3ca31fef090a72c2eab2847a4f8f1421d60a46133f4f63187ceccb528c32fcb"},"schema_version":"1.0","source":{"id":"0903.1958","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.1958","created_at":"2026-05-18T02:14:35Z"},{"alias_kind":"arxiv_version","alias_value":"0903.1958v2","created_at":"2026-05-18T02:14:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.1958","created_at":"2026-05-18T02:14:35Z"},{"alias_kind":"pith_short_12","alias_value":"K6IIU2HGL5ER","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"K6IIU2HGL5ERL5BQ","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"K6IIU2HG","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:417224e28b65e3b1ad6b9c7751fd2a9793e9abfca6ad0c63fbf0b63f4b169748","target":"graph","created_at":"2026-05-18T02:14:35Z","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":"In the arrival time problem in quantum mechanics, a standard formula that frequently emerges as the probability for crossing the origin during a given time interval is the current integrated over that time interval. This is semiclassically correct but can be negative due to backflow. Here, we show that this formula naturally arises in a decoherent histories analysis of the arrival time problem. For a variety of initial states, we show that histories crossing during different time intervals are approximately decoherent. Probabilities may therefore be assigned and coincide with the standard form","authors_text":"J.J.Halliwell, J.M.Yearsley","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-11T12:10:55Z","title":"Quantum Arrival Time Formula from Decoherent Histories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.1958","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":"sha256:844cee02f0317fa7a52e7da2585d10fd154a90006732e4a28db267783d8f35b9","target":"record","created_at":"2026-05-18T02:14:35Z","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":"5fe0e0648eba4295c5544d981d32eafbd97df6ac10808f38c6989f28916728e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-11T12:10:55Z","title_canon_sha256":"f3ca31fef090a72c2eab2847a4f8f1421d60a46133f4f63187ceccb528c32fcb"},"schema_version":"1.0","source":{"id":"0903.1958","kind":"arxiv","version":2}},"canonical_sha256":"57908a68e65f4915f4309ebd0d8e7b29e788ee63e102a5c47189f6c72cd7ca1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57908a68e65f4915f4309ebd0d8e7b29e788ee63e102a5c47189f6c72cd7ca1c","first_computed_at":"2026-05-18T02:14:35.941936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:35.941936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x2OvmTJUdWhVGVJzQgDvtUBbjlpKJJPGG165ZKCP5gf18zvaVjH+HxBTcRX41uLDiq/E43sSPPouIcg5/JEECA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:35.942546Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.1958","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:844cee02f0317fa7a52e7da2585d10fd154a90006732e4a28db267783d8f35b9","sha256:417224e28b65e3b1ad6b9c7751fd2a9793e9abfca6ad0c63fbf0b63f4b169748"],"state_sha256":"46da0d66d33f8454d713cc8591411798f4ed37ee081d34bf191edf7a39dba211"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RtS7I1UoY/I6gC4GlleP76ycZasXrp7EMidyGASfpcUMa/m5qH1duVkBsxJZKowHfl23PNbv+VHE+6m4zOQ/Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T10:15:55.852977Z","bundle_sha256":"9329f96c16884114c25a14d6c71dfb87166164c91bc4415caf058a2e6ce05296"}}