{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:N6SWSQXCWMADXFBMU4O52NSUCM","short_pith_number":"pith:N6SWSQXC","canonical_record":{"source":{"id":"2407.18268","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.ao-ph","submitted_at":"2024-07-17T22:17:05Z","cross_cats_sorted":["math.DS","stat.AP"],"title_canon_sha256":"c752cf604b6601d7950493537552565bd72aff53de789dee452142184ad6f8e6","abstract_canon_sha256":"042a6eb95577aec444624b96edb64b73da30c411ff9cd6e9d50510ae0d0bfb10"},"schema_version":"1.0"},"canonical_sha256":"6fa56942e2b3003b942ca71ddd3654132dbf5b9c541879d45babf235a4a33303","source":{"kind":"arxiv","id":"2407.18268","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.18268","created_at":"2026-07-05T09:58:10Z"},{"alias_kind":"arxiv_version","alias_value":"2407.18268v1","created_at":"2026-07-05T09:58:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.18268","created_at":"2026-07-05T09:58:10Z"},{"alias_kind":"pith_short_12","alias_value":"N6SWSQXCWMAD","created_at":"2026-07-05T09:58:10Z"},{"alias_kind":"pith_short_16","alias_value":"N6SWSQXCWMADXFBM","created_at":"2026-07-05T09:58:10Z"},{"alias_kind":"pith_short_8","alias_value":"N6SWSQXC","created_at":"2026-07-05T09:58:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:N6SWSQXCWMADXFBMU4O52NSUCM","target":"record","payload":{"canonical_record":{"source":{"id":"2407.18268","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.ao-ph","submitted_at":"2024-07-17T22:17:05Z","cross_cats_sorted":["math.DS","stat.AP"],"title_canon_sha256":"c752cf604b6601d7950493537552565bd72aff53de789dee452142184ad6f8e6","abstract_canon_sha256":"042a6eb95577aec444624b96edb64b73da30c411ff9cd6e9d50510ae0d0bfb10"},"schema_version":"1.0"},"canonical_sha256":"6fa56942e2b3003b942ca71ddd3654132dbf5b9c541879d45babf235a4a33303","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:58:10.827947Z","signature_b64":"uAE22W0jOoq68QGHGtgTZdFjvhUja9eR5F6xTC24iWmZQKX+uhJPH5NX4K1VLy2X/IwRZ4+crp27nXvJB8b1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fa56942e2b3003b942ca71ddd3654132dbf5b9c541879d45babf235a4a33303","last_reissued_at":"2026-07-05T09:58:10.827477Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:58:10.827477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.18268","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":"2026-07-05T09:58:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CHoCFalvpXd4wcc9YqpDkwNmDQYLQRRg7PmwEfgsB345OTCOdM4oEvZbJdfbBgIxwf+4V0rHZfEC+wnUGKXABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T18:23:10.043590Z"},"content_sha256":"be04bc1667892a6513fc67877cf1757d250d07a60769edac487fc4360c087921","schema_version":"1.0","event_id":"sha256:be04bc1667892a6513fc67877cf1757d250d07a60769edac487fc4360c087921"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:N6SWSQXCWMADXFBMU4O52NSUCM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spatial analysis of tails of air pollution PDFs in Europe","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS","stat.AP"],"primary_cat":"physics.ao-ph","authors_text":"Benjamin Sch\\\"afer, Christian Beck, Hankun He","submitted_at":"2024-07-17T22:17:05Z","abstract_excerpt":"Outdoor air pollution is estimated to cause a huge number of premature deaths worldwide, it catalyses many diseases on a variety of time scales, and it has a detrimental effect on the environment. In light of these impacts it is necessary to obtain a better understanding of the dynamics and statistics of measured air pollution concentrations, including temporal fluctuations of observed concentrations and spatial heterogeneities. Here we present an extensive analysis for measured data from Europe. The observed probability density functions (PDFs) of air pollution concentrations depend very much"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.18268","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/2407.18268/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":"2026-07-05T09:58:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+nrbdbQm+CgBCslUMEJO6BvIzEq1ucFKV0dfLDaE7FR+pdpsnG4IhFz+qDVPh1FkwCYWDFJ4jrw4/sFq00mFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T18:23:10.044350Z"},"content_sha256":"c9b5d50ac62e0b750a9ee53074b4d5103ac190761b7a7ed57250b434e7375879","schema_version":"1.0","event_id":"sha256:c9b5d50ac62e0b750a9ee53074b4d5103ac190761b7a7ed57250b434e7375879"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N6SWSQXCWMADXFBMU4O52NSUCM/bundle.json","state_url":"https://pith.science/pith/N6SWSQXCWMADXFBMU4O52NSUCM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N6SWSQXCWMADXFBMU4O52NSUCM/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":"2026-08-12T18:23:10Z","links":{"resolver":"https://pith.science/pith/N6SWSQXCWMADXFBMU4O52NSUCM","bundle":"https://pith.science/pith/N6SWSQXCWMADXFBMU4O52NSUCM/bundle.json","state":"https://pith.science/pith/N6SWSQXCWMADXFBMU4O52NSUCM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N6SWSQXCWMADXFBMU4O52NSUCM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:N6SWSQXCWMADXFBMU4O52NSUCM","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":"042a6eb95577aec444624b96edb64b73da30c411ff9cd6e9d50510ae0d0bfb10","cross_cats_sorted":["math.DS","stat.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.ao-ph","submitted_at":"2024-07-17T22:17:05Z","title_canon_sha256":"c752cf604b6601d7950493537552565bd72aff53de789dee452142184ad6f8e6"},"schema_version":"1.0","source":{"id":"2407.18268","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.18268","created_at":"2026-07-05T09:58:10Z"},{"alias_kind":"arxiv_version","alias_value":"2407.18268v1","created_at":"2026-07-05T09:58:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.18268","created_at":"2026-07-05T09:58:10Z"},{"alias_kind":"pith_short_12","alias_value":"N6SWSQXCWMAD","created_at":"2026-07-05T09:58:10Z"},{"alias_kind":"pith_short_16","alias_value":"N6SWSQXCWMADXFBM","created_at":"2026-07-05T09:58:10Z"},{"alias_kind":"pith_short_8","alias_value":"N6SWSQXC","created_at":"2026-07-05T09:58:10Z"}],"graph_snapshots":[{"event_id":"sha256:c9b5d50ac62e0b750a9ee53074b4d5103ac190761b7a7ed57250b434e7375879","target":"graph","created_at":"2026-07-05T09:58:10Z","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/2407.18268/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Outdoor air pollution is estimated to cause a huge number of premature deaths worldwide, it catalyses many diseases on a variety of time scales, and it has a detrimental effect on the environment. In light of these impacts it is necessary to obtain a better understanding of the dynamics and statistics of measured air pollution concentrations, including temporal fluctuations of observed concentrations and spatial heterogeneities. Here we present an extensive analysis for measured data from Europe. The observed probability density functions (PDFs) of air pollution concentrations depend very much","authors_text":"Benjamin Sch\\\"afer, Christian Beck, Hankun He","cross_cats":["math.DS","stat.AP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.ao-ph","submitted_at":"2024-07-17T22:17:05Z","title":"Spatial analysis of tails of air pollution PDFs in Europe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.18268","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:be04bc1667892a6513fc67877cf1757d250d07a60769edac487fc4360c087921","target":"record","created_at":"2026-07-05T09:58:10Z","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":"042a6eb95577aec444624b96edb64b73da30c411ff9cd6e9d50510ae0d0bfb10","cross_cats_sorted":["math.DS","stat.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.ao-ph","submitted_at":"2024-07-17T22:17:05Z","title_canon_sha256":"c752cf604b6601d7950493537552565bd72aff53de789dee452142184ad6f8e6"},"schema_version":"1.0","source":{"id":"2407.18268","kind":"arxiv","version":1}},"canonical_sha256":"6fa56942e2b3003b942ca71ddd3654132dbf5b9c541879d45babf235a4a33303","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fa56942e2b3003b942ca71ddd3654132dbf5b9c541879d45babf235a4a33303","first_computed_at":"2026-07-05T09:58:10.827477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:58:10.827477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uAE22W0jOoq68QGHGtgTZdFjvhUja9eR5F6xTC24iWmZQKX+uhJPH5NX4K1VLy2X/IwRZ4+crp27nXvJB8b1BA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:58:10.827947Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.18268","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be04bc1667892a6513fc67877cf1757d250d07a60769edac487fc4360c087921","sha256:c9b5d50ac62e0b750a9ee53074b4d5103ac190761b7a7ed57250b434e7375879"],"state_sha256":"77789f73d40ddd21d7711a72883cc501859fd7db99d51260f2271eb55a9493ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y8QGY+dgLWyKXvJCm7URsWcgS3OfoSzGLY38wwRf53mAgcZDuXkfxZugv/WArsWkdQdukmxGLnDQkPX9sO9kDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T18:23:10.048691Z","bundle_sha256":"38a40f8d99e92d1f81768fee3d756a99882b5f77d8b97db62ed8ea6cf0c52e7f"}}