{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:YKTXD5WHO7ZDUVHDS6EG6UMP4P","short_pith_number":"pith:YKTXD5WH","schema_version":"1.0","canonical_sha256":"c2a771f6c777f23a54e397886f518fe3e06cd406c85f93ca35058a31a8093d7d","source":{"kind":"arxiv","id":"1008.0429","version":1},"attestation_state":"computed","paper":{"title":"Diffusive Shock Acceleration in Test-Particle Regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Dongsu Ryu, Hyesung Kang","submitted_at":"2010-08-03T00:33:44Z","abstract_excerpt":"We examine the test-particle solution for diffusive shock acceleration, based on simple models for thermal leakage injection and Alfv'enic drift. The critical injection rate, \\xi_c, above which the cosmic ray (CR) pressure becomes dynamically significant, depends mainly on the sonic shock Mach number, M, and preshock gas temperature, T_1. In the hot-phase interstellar medium (ISM) and intracluster medium, \\xi_c < 10^{-3} for shocks with M < 5, while \\xi_c ~ 10^{-4}(T_1/10^6 K)^{1/2} for shocks with M > 10. For T_1=10^6 K, for example, the test-particle solution would be valid if the injection "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1008.0429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2010-08-03T00:33:44Z","cross_cats_sorted":[],"title_canon_sha256":"c22615b2755f09d3b31a87db1aa213d3206a31c87ecc93a15d362e7ce9c078eb","abstract_canon_sha256":"cebe866767d93b96a44ea09f5815e7b044672ea737cf9c57c3cc65eec7102a8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:00.151531Z","signature_b64":"VzCLOs3uLmb/SMRUsin94fKRP+uuWwiiE4t3YyHudklHVAro7sXn8S6bMJt9R0Fx+YCf7LD46Qo2ySkARsc8Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2a771f6c777f23a54e397886f518fe3e06cd406c85f93ca35058a31a8093d7d","last_reissued_at":"2026-05-18T02:06:00.150827Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:00.150827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffusive Shock Acceleration in Test-Particle Regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Dongsu Ryu, Hyesung Kang","submitted_at":"2010-08-03T00:33:44Z","abstract_excerpt":"We examine the test-particle solution for diffusive shock acceleration, based on simple models for thermal leakage injection and Alfv'enic drift. The critical injection rate, \\xi_c, above which the cosmic ray (CR) pressure becomes dynamically significant, depends mainly on the sonic shock Mach number, M, and preshock gas temperature, T_1. In the hot-phase interstellar medium (ISM) and intracluster medium, \\xi_c < 10^{-3} for shocks with M < 5, while \\xi_c ~ 10^{-4}(T_1/10^6 K)^{1/2} for shocks with M > 10. For T_1=10^6 K, for example, the test-particle solution would be valid if the injection "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0429","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1008.0429","created_at":"2026-05-18T02:06:00.150927+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.0429v1","created_at":"2026-05-18T02:06:00.150927+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0429","created_at":"2026-05-18T02:06:00.150927+00:00"},{"alias_kind":"pith_short_12","alias_value":"YKTXD5WHO7ZD","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"YKTXD5WHO7ZDUVHD","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"YKTXD5WH","created_at":"2026-05-18T12:26:17.028572+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.01775","citing_title":"Reconnection-Driven Injection and Stochastic Reacceleration during Cosmological Magnetogenesis","ref_index":29,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YKTXD5WHO7ZDUVHDS6EG6UMP4P","json":"https://pith.science/pith/YKTXD5WHO7ZDUVHDS6EG6UMP4P.json","graph_json":"https://pith.science/api/pith-number/YKTXD5WHO7ZDUVHDS6EG6UMP4P/graph.json","events_json":"https://pith.science/api/pith-number/YKTXD5WHO7ZDUVHDS6EG6UMP4P/events.json","paper":"https://pith.science/paper/YKTXD5WH"},"agent_actions":{"view_html":"https://pith.science/pith/YKTXD5WHO7ZDUVHDS6EG6UMP4P","download_json":"https://pith.science/pith/YKTXD5WHO7ZDUVHDS6EG6UMP4P.json","view_paper":"https://pith.science/paper/YKTXD5WH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.0429&json=true","fetch_graph":"https://pith.science/api/pith-number/YKTXD5WHO7ZDUVHDS6EG6UMP4P/graph.json","fetch_events":"https://pith.science/api/pith-number/YKTXD5WHO7ZDUVHDS6EG6UMP4P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YKTXD5WHO7ZDUVHDS6EG6UMP4P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YKTXD5WHO7ZDUVHDS6EG6UMP4P/action/storage_attestation","attest_author":"https://pith.science/pith/YKTXD5WHO7ZDUVHDS6EG6UMP4P/action/author_attestation","sign_citation":"https://pith.science/pith/YKTXD5WHO7ZDUVHDS6EG6UMP4P/action/citation_signature","submit_replication":"https://pith.science/pith/YKTXD5WHO7ZDUVHDS6EG6UMP4P/action/replication_record"}},"created_at":"2026-05-18T02:06:00.150927+00:00","updated_at":"2026-05-18T02:06:00.150927+00:00"}