{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ZICIV3PO3DAFVLBMLNRBGFX5HI","short_pith_number":"pith:ZICIV3PO","canonical_record":{"source":{"id":"2606.19548","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-17T19:39:44Z","cross_cats_sorted":["hep-ex","hep-th"],"title_canon_sha256":"87d82f4bf47cbde31b74a6658865bfa1970de8144b10f843586704c0c37aceb8","abstract_canon_sha256":"aa04ddae48ef8c4da5c98ea36adda70ae57283044e4925ef482d979d985baadd"},"schema_version":"1.0"},"canonical_sha256":"ca048aedeed8c05aac2c5b621316fd3a318ebb8a74b38a06ddd86a0f09fa74f3","source":{"kind":"arxiv","id":"2606.19548","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19548","created_at":"2026-06-19T16:12:28Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19548v1","created_at":"2026-06-19T16:12:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19548","created_at":"2026-06-19T16:12:28Z"},{"alias_kind":"pith_short_12","alias_value":"ZICIV3PO3DAF","created_at":"2026-06-19T16:12:28Z"},{"alias_kind":"pith_short_16","alias_value":"ZICIV3PO3DAFVLBM","created_at":"2026-06-19T16:12:28Z"},{"alias_kind":"pith_short_8","alias_value":"ZICIV3PO","created_at":"2026-06-19T16:12:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ZICIV3PO3DAFVLBMLNRBGFX5HI","target":"record","payload":{"canonical_record":{"source":{"id":"2606.19548","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-17T19:39:44Z","cross_cats_sorted":["hep-ex","hep-th"],"title_canon_sha256":"87d82f4bf47cbde31b74a6658865bfa1970de8144b10f843586704c0c37aceb8","abstract_canon_sha256":"aa04ddae48ef8c4da5c98ea36adda70ae57283044e4925ef482d979d985baadd"},"schema_version":"1.0"},"canonical_sha256":"ca048aedeed8c05aac2c5b621316fd3a318ebb8a74b38a06ddd86a0f09fa74f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:28.664525Z","signature_b64":"zyOyPGIn58L8/2WC6FXf1xFvmYSt4bx6AF+3THCdiIYa9SimXK6RVe7Vu5gg8zxsqhzblDkQDj1hKTxjtOdiDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca048aedeed8c05aac2c5b621316fd3a318ebb8a74b38a06ddd86a0f09fa74f3","last_reissued_at":"2026-06-19T16:12:28.664162Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:28.664162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.19548","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":"2026-06-19T16:12:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bUdocDMRzF56PbyIT1hppkEhtX9s8s7n02jXd+MLIs0bw5cpfABDeNZHjRXUix+IfbWXxkKTiJX2tmj/jMYzAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T05:10:07.902515Z"},"content_sha256":"1a2936d8eba5c5784d6d51b3af1149ecbaef37bc7d57d02cecbe75e7b9117aca","schema_version":"1.0","event_id":"sha256:1a2936d8eba5c5784d6d51b3af1149ecbaef37bc7d57d02cecbe75e7b9117aca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ZICIV3PO3DAFVLBMLNRBGFX5HI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Real and Virtual Propagation in Neutrino Oscillations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","hep-th"],"primary_cat":"hep-ph","authors_text":"Juntaro Wada, Kenji Nishiwaki, Kin-ya Oda","submitted_at":"2026-06-17T19:39:44Z","abstract_excerpt":"We revisit flavor oscillations in vacuum in terms of the propagation time of intermediate states. In the limit of a long propagation time (or distance), degenerate intermediate states exhibit oscillatory behavior, as described by the Jacob--Sachs (or Grimus--Stockinger) theorem within wave-packet quantum field theory. By explicitly evaluating the relevant integrals using the saddle-point method, we derive an extended expression for the flavor-changing amplitude that remains valid even for shorter propagation times. We show that oscillations occur only when the propagation time exceeds a thresh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19548","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.19548/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":"2026-06-19T16:12:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DhnaClFqWCB17kMhN7dhgDHE8ez15BYqG3LMM0HUz6wcfhp7Kc44tHfIlLoofUbL3XS6z6sZ/tLkOmaECSVYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T05:10:07.902926Z"},"content_sha256":"a5831cecc3ec0f820310e58a16dd7135e6363d1017287cd55ccea95522c1ee85","schema_version":"1.0","event_id":"sha256:a5831cecc3ec0f820310e58a16dd7135e6363d1017287cd55ccea95522c1ee85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZICIV3PO3DAFVLBMLNRBGFX5HI/bundle.json","state_url":"https://pith.science/pith/ZICIV3PO3DAFVLBMLNRBGFX5HI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZICIV3PO3DAFVLBMLNRBGFX5HI/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":"2026-06-27T05:10:07Z","links":{"resolver":"https://pith.science/pith/ZICIV3PO3DAFVLBMLNRBGFX5HI","bundle":"https://pith.science/pith/ZICIV3PO3DAFVLBMLNRBGFX5HI/bundle.json","state":"https://pith.science/pith/ZICIV3PO3DAFVLBMLNRBGFX5HI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZICIV3PO3DAFVLBMLNRBGFX5HI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ZICIV3PO3DAFVLBMLNRBGFX5HI","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":"aa04ddae48ef8c4da5c98ea36adda70ae57283044e4925ef482d979d985baadd","cross_cats_sorted":["hep-ex","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-17T19:39:44Z","title_canon_sha256":"87d82f4bf47cbde31b74a6658865bfa1970de8144b10f843586704c0c37aceb8"},"schema_version":"1.0","source":{"id":"2606.19548","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19548","created_at":"2026-06-19T16:12:28Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19548v1","created_at":"2026-06-19T16:12:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19548","created_at":"2026-06-19T16:12:28Z"},{"alias_kind":"pith_short_12","alias_value":"ZICIV3PO3DAF","created_at":"2026-06-19T16:12:28Z"},{"alias_kind":"pith_short_16","alias_value":"ZICIV3PO3DAFVLBM","created_at":"2026-06-19T16:12:28Z"},{"alias_kind":"pith_short_8","alias_value":"ZICIV3PO","created_at":"2026-06-19T16:12:28Z"}],"graph_snapshots":[{"event_id":"sha256:a5831cecc3ec0f820310e58a16dd7135e6363d1017287cd55ccea95522c1ee85","target":"graph","created_at":"2026-06-19T16:12:28Z","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/2606.19548/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit flavor oscillations in vacuum in terms of the propagation time of intermediate states. In the limit of a long propagation time (or distance), degenerate intermediate states exhibit oscillatory behavior, as described by the Jacob--Sachs (or Grimus--Stockinger) theorem within wave-packet quantum field theory. By explicitly evaluating the relevant integrals using the saddle-point method, we derive an extended expression for the flavor-changing amplitude that remains valid even for shorter propagation times. We show that oscillations occur only when the propagation time exceeds a thresh","authors_text":"Juntaro Wada, Kenji Nishiwaki, Kin-ya Oda","cross_cats":["hep-ex","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-17T19:39:44Z","title":"Real and Virtual Propagation in Neutrino Oscillations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19548","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":"sha256:1a2936d8eba5c5784d6d51b3af1149ecbaef37bc7d57d02cecbe75e7b9117aca","target":"record","created_at":"2026-06-19T16:12:28Z","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":"aa04ddae48ef8c4da5c98ea36adda70ae57283044e4925ef482d979d985baadd","cross_cats_sorted":["hep-ex","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-17T19:39:44Z","title_canon_sha256":"87d82f4bf47cbde31b74a6658865bfa1970de8144b10f843586704c0c37aceb8"},"schema_version":"1.0","source":{"id":"2606.19548","kind":"arxiv","version":1}},"canonical_sha256":"ca048aedeed8c05aac2c5b621316fd3a318ebb8a74b38a06ddd86a0f09fa74f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca048aedeed8c05aac2c5b621316fd3a318ebb8a74b38a06ddd86a0f09fa74f3","first_computed_at":"2026-06-19T16:12:28.664162Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:28.664162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zyOyPGIn58L8/2WC6FXf1xFvmYSt4bx6AF+3THCdiIYa9SimXK6RVe7Vu5gg8zxsqhzblDkQDj1hKTxjtOdiDA==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:28.664525Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.19548","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a2936d8eba5c5784d6d51b3af1149ecbaef37bc7d57d02cecbe75e7b9117aca","sha256:a5831cecc3ec0f820310e58a16dd7135e6363d1017287cd55ccea95522c1ee85"],"state_sha256":"79245ed3590a0f5e90f85732835fa0d609634fcfcfb80573816e2283b9d7d1c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yvq/F7x3KU9nBvH/6H5pkp75WFfLAczQ+h5RSfzLIaWhV9zBn8v3LuKwC5fDmRlGVONs5eNwq3REgccVCAWyAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T05:10:07.904863Z","bundle_sha256":"824661dc65302ae788708e470d80805eac828b965b7dd62133f5ba83da27bb2d"}}