{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:MW6KUUYRB6NDD5OKME732OMKFL","short_pith_number":"pith:MW6KUUYR","canonical_record":{"source":{"id":"1112.0445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-12-02T12:25:39Z","cross_cats_sorted":[],"title_canon_sha256":"1c30acd028f540aabadd756e2457b2e37068ad5e1c03bce9b67acc9605387e0c","abstract_canon_sha256":"1af4366d28b20739e31090199e15daa5e652c53a194bb7621b27fa2826f6aa11"},"schema_version":"1.0"},"canonical_sha256":"65bcaa53110f9a31f5ca613fbd398a2aca6c1d5fdc5eabb1a1aaa3fe2830a895","source":{"kind":"arxiv","id":"1112.0445","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.0445","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"arxiv_version","alias_value":"1112.0445v1","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.0445","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"pith_short_12","alias_value":"MW6KUUYRB6ND","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MW6KUUYRB6NDD5OK","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MW6KUUYR","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:MW6KUUYRB6NDD5OKME732OMKFL","target":"record","payload":{"canonical_record":{"source":{"id":"1112.0445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-12-02T12:25:39Z","cross_cats_sorted":[],"title_canon_sha256":"1c30acd028f540aabadd756e2457b2e37068ad5e1c03bce9b67acc9605387e0c","abstract_canon_sha256":"1af4366d28b20739e31090199e15daa5e652c53a194bb7621b27fa2826f6aa11"},"schema_version":"1.0"},"canonical_sha256":"65bcaa53110f9a31f5ca613fbd398a2aca6c1d5fdc5eabb1a1aaa3fe2830a895","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:48.154525Z","signature_b64":"umJGoqbIquCi4J4gmKWF0fO8jP2U+8ufsusKCbX8HKrwpvf58D4jqcjHT6j0gg1mo3NrUKV4I5fFrcQfKNgnDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65bcaa53110f9a31f5ca613fbd398a2aca6c1d5fdc5eabb1a1aaa3fe2830a895","last_reissued_at":"2026-05-18T03:33:48.153466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:48.153466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.0445","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":"2026-05-18T03:33:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s6TwOaqUmo+C16ifiGuo9AzhwpAX8kXFKC4NhDoaS3iXlMngQ9AXHgVDFAq+g49cEHAnuUEJ37alS8YTZ8dCDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:49:21.399236Z"},"content_sha256":"bf2ce46aeffba11be083ca275e47317d643c2a56c5ed97a2ed917e37fdf775ff","schema_version":"1.0","event_id":"sha256:bf2ce46aeffba11be083ca275e47317d643c2a56c5ed97a2ed917e37fdf775ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:MW6KUUYRB6NDD5OKME732OMKFL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phenomenology of neutrino mixing in vacuum and matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Upadhyay, M. Batra","submitted_at":"2011-12-02T12:25:39Z","abstract_excerpt":"Neutrino oscillation is the new physics beyond standard model. In this paper we have revisited the issue of neutrino oscillation in simple and delicate manner. Starting from the fundamental quantum mechanical treatment for the neutrinos, we calculated the probabilities for the neutrino oscillating within three flavors. Normal and inverted hierarchy have been taken into account for the solar and atmospheric cases, in vacuum and matter. The probabilities have been plotted for all the cases and discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0445","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":"2026-05-18T03:33:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8NFi+MITbqv4L9sZ6/rYFipaE+yVCRmoitEU10yxwKY0mAgwm64cDLn8el9unM1jIeOAaI59HMeqV8SJchwLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T06:49:21.399594Z"},"content_sha256":"57dea529fc10f26294a2afc8a438fd2e18fb5b3f7c83cea29c47226ff78cf091","schema_version":"1.0","event_id":"sha256:57dea529fc10f26294a2afc8a438fd2e18fb5b3f7c83cea29c47226ff78cf091"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MW6KUUYRB6NDD5OKME732OMKFL/bundle.json","state_url":"https://pith.science/pith/MW6KUUYRB6NDD5OKME732OMKFL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MW6KUUYRB6NDD5OKME732OMKFL/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":"2026-06-20T06:49:21Z","links":{"resolver":"https://pith.science/pith/MW6KUUYRB6NDD5OKME732OMKFL","bundle":"https://pith.science/pith/MW6KUUYRB6NDD5OKME732OMKFL/bundle.json","state":"https://pith.science/pith/MW6KUUYRB6NDD5OKME732OMKFL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MW6KUUYRB6NDD5OKME732OMKFL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MW6KUUYRB6NDD5OKME732OMKFL","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":"1af4366d28b20739e31090199e15daa5e652c53a194bb7621b27fa2826f6aa11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-12-02T12:25:39Z","title_canon_sha256":"1c30acd028f540aabadd756e2457b2e37068ad5e1c03bce9b67acc9605387e0c"},"schema_version":"1.0","source":{"id":"1112.0445","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.0445","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"arxiv_version","alias_value":"1112.0445v1","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.0445","created_at":"2026-05-18T03:33:48Z"},{"alias_kind":"pith_short_12","alias_value":"MW6KUUYRB6ND","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MW6KUUYRB6NDD5OK","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MW6KUUYR","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:57dea529fc10f26294a2afc8a438fd2e18fb5b3f7c83cea29c47226ff78cf091","target":"graph","created_at":"2026-05-18T03:33:48Z","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":"Neutrino oscillation is the new physics beyond standard model. In this paper we have revisited the issue of neutrino oscillation in simple and delicate manner. Starting from the fundamental quantum mechanical treatment for the neutrinos, we calculated the probabilities for the neutrino oscillating within three flavors. Normal and inverted hierarchy have been taken into account for the solar and atmospheric cases, in vacuum and matter. The probabilities have been plotted for all the cases and discussed.","authors_text":"A. Upadhyay, M. Batra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-12-02T12:25:39Z","title":"Phenomenology of neutrino mixing in vacuum and matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0445","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:bf2ce46aeffba11be083ca275e47317d643c2a56c5ed97a2ed917e37fdf775ff","target":"record","created_at":"2026-05-18T03:33:48Z","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":"1af4366d28b20739e31090199e15daa5e652c53a194bb7621b27fa2826f6aa11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-12-02T12:25:39Z","title_canon_sha256":"1c30acd028f540aabadd756e2457b2e37068ad5e1c03bce9b67acc9605387e0c"},"schema_version":"1.0","source":{"id":"1112.0445","kind":"arxiv","version":1}},"canonical_sha256":"65bcaa53110f9a31f5ca613fbd398a2aca6c1d5fdc5eabb1a1aaa3fe2830a895","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65bcaa53110f9a31f5ca613fbd398a2aca6c1d5fdc5eabb1a1aaa3fe2830a895","first_computed_at":"2026-05-18T03:33:48.153466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:48.153466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"umJGoqbIquCi4J4gmKWF0fO8jP2U+8ufsusKCbX8HKrwpvf58D4jqcjHT6j0gg1mo3NrUKV4I5fFrcQfKNgnDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:48.154525Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.0445","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf2ce46aeffba11be083ca275e47317d643c2a56c5ed97a2ed917e37fdf775ff","sha256:57dea529fc10f26294a2afc8a438fd2e18fb5b3f7c83cea29c47226ff78cf091"],"state_sha256":"339e2a8ec333d82b9a541a13af879c15e49f450429f63225508469ea2110e317"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d5txnbUmyE2hPkGL+EE8HA7J9jwVPx87usjsRjvfh1hAkB6MioXnwBcchFwfVBJXh8p1MbrjB2hoVQstK5e/Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T06:49:21.401489Z","bundle_sha256":"87d62049f0712733132799ce16be77f8859b6b8f158e874dd2325753c82f4cfa"}}