{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ESTUFOD26OYJQDMQALBDOY5C6K","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":"bdf56692cfe6cf604aa21f844ae9961517c4da37818cbffb5f395cc021c3c1f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2021-06-15T20:36:02Z","title_canon_sha256":"db6bacfd7ff06e3fc843e9f44a3246b67ef4b4c86ed9e82f0e62967120350c19"},"schema_version":"1.0","source":{"id":"2106.08426","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.08426","created_at":"2026-07-05T02:49:57Z"},{"alias_kind":"arxiv_version","alias_value":"2106.08426v1","created_at":"2026-07-05T02:49:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.08426","created_at":"2026-07-05T02:49:57Z"},{"alias_kind":"pith_short_12","alias_value":"ESTUFOD26OYJ","created_at":"2026-07-05T02:49:57Z"},{"alias_kind":"pith_short_16","alias_value":"ESTUFOD26OYJQDMQ","created_at":"2026-07-05T02:49:57Z"},{"alias_kind":"pith_short_8","alias_value":"ESTUFOD2","created_at":"2026-07-05T02:49:57Z"}],"graph_snapshots":[{"event_id":"sha256:c6f004768b9af9142b5b961835c25359974f807e2536bed3b10b35bb528fec18","target":"graph","created_at":"2026-07-05T02:49:57Z","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/2106.08426/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We review numerical methods for simulations of cosmic ray (CR) propagation on galactic and larger scales. We present the development of algorithms designed for phenomenological and self-consistent models of CR propagation in kinetic description based on numerical solutions of the Fokker-Planck equation. The phenomenological models assume a stationary structure of the galactic interstellar medium and incorporate diffusion of particles in physical and momentum space together with advection, spallation, production of secondaries and various radiation mechanisms. The self-consistent propagation mo","authors_text":"14482 Potsdam, (2) Max-Planck-Institut f\\\"ur extraterrestrische Physik, (3) Leibniz-Institut f\\\"ur Astrophysik (AIP), 85748 Garching, An der Sternwarte 16, A. Strong (2), Germany, Germany), M. Hanasz (1), Nicolaus Copernicus University, P. Girichidis (3) ((1) Institute of Astronomy, PL-87-100 Toru\\'n, ul. Grudziadzka 5","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2021-06-15T20:36:02Z","title":"Simulations of cosmic ray propagation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.08426","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":"sha256:9691ed0a979e75c854763f37e55d5235aae728b0365792d877122b82d708aef1","target":"record","created_at":"2026-07-05T02:49:57Z","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":"bdf56692cfe6cf604aa21f844ae9961517c4da37818cbffb5f395cc021c3c1f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2021-06-15T20:36:02Z","title_canon_sha256":"db6bacfd7ff06e3fc843e9f44a3246b67ef4b4c86ed9e82f0e62967120350c19"},"schema_version":"1.0","source":{"id":"2106.08426","kind":"arxiv","version":1}},"canonical_sha256":"24a742b87af3b0980d9002c23763a2f28bdceb9a5d4265223fbd541851f12ac6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24a742b87af3b0980d9002c23763a2f28bdceb9a5d4265223fbd541851f12ac6","first_computed_at":"2026-07-05T02:49:57.839438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:49:57.839438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aXDcjz0S2A+oE2IcXe8Kf2NhIJVXVDKzQ1/WNuCqWkkHDirISB786C97rKo7uSD60P0KjVkH/tS9XcAOXlEABg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:49:57.839879Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.08426","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9691ed0a979e75c854763f37e55d5235aae728b0365792d877122b82d708aef1","sha256:c6f004768b9af9142b5b961835c25359974f807e2536bed3b10b35bb528fec18"],"state_sha256":"429692ec5360266555aaa5f47a675f83dc11a134559771ff99fd8e467dbd97c4"}