{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:WMP72SVQOUQLRLY42OQI7RJRTU","short_pith_number":"pith:WMP72SVQ","schema_version":"1.0","canonical_sha256":"b31ffd4ab07520b8af1cd3a08fc5319d0a9516f801d604780bc4fd76a2488875","source":{"kind":"arxiv","id":"1707.06339","version":2},"attestation_state":"computed","paper":{"title":"Analytic study of 1D diffusive relativistic shock acceleration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Uri Keshet","submitted_at":"2017-07-20T02:07:44Z","abstract_excerpt":"Diffusive shock acceleration (DSA) by relativistic shocks is thought to generate the $dN/dE\\propto E^{-p}$ spectra of charged particles in various astronomical relativistic flows. We show that for test particles in one dimension (1D), $p^{-1}=1-\\ln\\left[\\gamma_d(1+\\beta_d)\\right]/\\ln\\left[\\gamma_u(1+\\beta_u)\\right]$, where $\\beta_u$ ($\\beta_d)$ is the upstream (downstream) normalized velocity, and $\\gamma$ is the respective Lorentz factor. This analytically captures the main properties of relativistic DSA in higher dimensions, with no assumptions on the diffusion mechanism. Unlike 2D and 3D, h"},"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":"1707.06339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2017-07-20T02:07:44Z","cross_cats_sorted":[],"title_canon_sha256":"414f53a479397dfbd8d9175aa025dfc4c0e1188609aee124c788abfba7ff4b1a","abstract_canon_sha256":"08433b230e3f49bbf7802fa8e9e48543160496ac017676213961d622df1593d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:08.466570Z","signature_b64":"YcG8Cx8CHB9+YasJyi8hhWHx3FDxUu1xX9WsEkdByS1CpTisXaBtJ3A7SNMnaP3wKFYMq5h4z/DmbV4EaFSGAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b31ffd4ab07520b8af1cd3a08fc5319d0a9516f801d604780bc4fd76a2488875","last_reissued_at":"2026-05-18T00:32:08.465855Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:08.465855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic study of 1D diffusive relativistic shock acceleration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Uri Keshet","submitted_at":"2017-07-20T02:07:44Z","abstract_excerpt":"Diffusive shock acceleration (DSA) by relativistic shocks is thought to generate the $dN/dE\\propto E^{-p}$ spectra of charged particles in various astronomical relativistic flows. We show that for test particles in one dimension (1D), $p^{-1}=1-\\ln\\left[\\gamma_d(1+\\beta_d)\\right]/\\ln\\left[\\gamma_u(1+\\beta_u)\\right]$, where $\\beta_u$ ($\\beta_d)$ is the upstream (downstream) normalized velocity, and $\\gamma$ is the respective Lorentz factor. This analytically captures the main properties of relativistic DSA in higher dimensions, with no assumptions on the diffusion mechanism. Unlike 2D and 3D, h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06339","kind":"arxiv","version":2},"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":"1707.06339","created_at":"2026-05-18T00:32:08.465967+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.06339v2","created_at":"2026-05-18T00:32:08.465967+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06339","created_at":"2026-05-18T00:32:08.465967+00:00"},{"alias_kind":"pith_short_12","alias_value":"WMP72SVQOUQL","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"WMP72SVQOUQLRLY4","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"WMP72SVQ","created_at":"2026-05-18T12:31:53.515858+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WMP72SVQOUQLRLY42OQI7RJRTU","json":"https://pith.science/pith/WMP72SVQOUQLRLY42OQI7RJRTU.json","graph_json":"https://pith.science/api/pith-number/WMP72SVQOUQLRLY42OQI7RJRTU/graph.json","events_json":"https://pith.science/api/pith-number/WMP72SVQOUQLRLY42OQI7RJRTU/events.json","paper":"https://pith.science/paper/WMP72SVQ"},"agent_actions":{"view_html":"https://pith.science/pith/WMP72SVQOUQLRLY42OQI7RJRTU","download_json":"https://pith.science/pith/WMP72SVQOUQLRLY42OQI7RJRTU.json","view_paper":"https://pith.science/paper/WMP72SVQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.06339&json=true","fetch_graph":"https://pith.science/api/pith-number/WMP72SVQOUQLRLY42OQI7RJRTU/graph.json","fetch_events":"https://pith.science/api/pith-number/WMP72SVQOUQLRLY42OQI7RJRTU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WMP72SVQOUQLRLY42OQI7RJRTU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WMP72SVQOUQLRLY42OQI7RJRTU/action/storage_attestation","attest_author":"https://pith.science/pith/WMP72SVQOUQLRLY42OQI7RJRTU/action/author_attestation","sign_citation":"https://pith.science/pith/WMP72SVQOUQLRLY42OQI7RJRTU/action/citation_signature","submit_replication":"https://pith.science/pith/WMP72SVQOUQLRLY42OQI7RJRTU/action/replication_record"}},"created_at":"2026-05-18T00:32:08.465967+00:00","updated_at":"2026-05-18T00:32:08.465967+00:00"}