{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:SGFZHWUVZTZFAMCPXN6Y4INXGV","short_pith_number":"pith:SGFZHWUV","canonical_record":{"source":{"id":"astro-ph/0512090","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-05T09:05:10Z","cross_cats_sorted":[],"title_canon_sha256":"919c125dccc7b88ab9d3f3cdc715c9962c7fc18314e1d5f4f62bcf317b17708a","abstract_canon_sha256":"9e27fdf91d3bc01f44d4d0570a76f459417e2922240808f79b0cccd4d38ba11e"},"schema_version":"1.0"},"canonical_sha256":"918b93da95ccf250304fbb7d8e21b7356ac14c99edbaf2f5b76d1899621acbc7","source":{"kind":"arxiv","id":"astro-ph/0512090","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0512090","created_at":"2026-07-04T17:14:41Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0512090v2","created_at":"2026-07-04T17:14:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0512090","created_at":"2026-07-04T17:14:41Z"},{"alias_kind":"pith_short_12","alias_value":"SGFZHWUVZTZF","created_at":"2026-07-04T17:14:41Z"},{"alias_kind":"pith_short_16","alias_value":"SGFZHWUVZTZFAMCP","created_at":"2026-07-04T17:14:41Z"},{"alias_kind":"pith_short_8","alias_value":"SGFZHWUV","created_at":"2026-07-04T17:14:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:SGFZHWUVZTZFAMCPXN6Y4INXGV","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0512090","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-05T09:05:10Z","cross_cats_sorted":[],"title_canon_sha256":"919c125dccc7b88ab9d3f3cdc715c9962c7fc18314e1d5f4f62bcf317b17708a","abstract_canon_sha256":"9e27fdf91d3bc01f44d4d0570a76f459417e2922240808f79b0cccd4d38ba11e"},"schema_version":"1.0"},"canonical_sha256":"918b93da95ccf250304fbb7d8e21b7356ac14c99edbaf2f5b76d1899621acbc7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:14:41.189197Z","signature_b64":"6p6eU4OpQ7Jza5AGC1+NdOc9+H5IwZ1h7beZ7UvvJ27zmEOK/7b/WVvopo0XtkQqHwLgabnGgIEpTTHigB5nDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"918b93da95ccf250304fbb7d8e21b7356ac14c99edbaf2f5b76d1899621acbc7","last_reissued_at":"2026-07-04T17:14:41.188827Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:14:41.188827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0512090","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:14:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1GzC6P+5XUJ+j0H1nhywnaZ6XG7YUWwvOHjGd9+A+Ng8ZftCpMiyybq8hN0ggYYqoslxEfz1nzMVzwBJuPViAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T09:22:53.361957Z"},"content_sha256":"9c01639960d26e19c2bfe3db3e5497ffd7420db9fd2eb5366e5067d4bbc62854","schema_version":"1.0","event_id":"sha256:9c01639960d26e19c2bfe3db3e5497ffd7420db9fd2eb5366e5067d4bbc62854"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:SGFZHWUVZTZFAMCPXN6Y4INXGV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diffusion of Cosmic Rays in Expanding Universe. (I)","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"A. Z. Gazizov, V. Berezinsky","submitted_at":"2005-12-05T09:05:10Z","abstract_excerpt":"We present an analytic solution to diffusion equation for high energy cosmic rays in the expanding universe. The particles are assumed to be ultra-relativistic and they can have energy losses arbitrarily dependent on energy and time. The obtained solution generalizes the Syrovatsky solution, valid for the case when energy losses and diffusion coefficient are time-independent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0512090","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0512090/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":"2026-07-04T17:14:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wyq5rESftY3SeLSXcNTr/lY9lymoHokeMpCUSdgzgzOjW14qv+5W7WpUmwG6ilK2yLIQSXsNZeW//E37z3NVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T09:22:53.363023Z"},"content_sha256":"ef2cf8c4d596dc1cb9a9fb49ace38f3bbb2c0e502f0682b11abfbe3b5f74231b","schema_version":"1.0","event_id":"sha256:ef2cf8c4d596dc1cb9a9fb49ace38f3bbb2c0e502f0682b11abfbe3b5f74231b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SGFZHWUVZTZFAMCPXN6Y4INXGV/bundle.json","state_url":"https://pith.science/pith/SGFZHWUVZTZFAMCPXN6Y4INXGV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SGFZHWUVZTZFAMCPXN6Y4INXGV/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":"2026-08-13T09:22:53Z","links":{"resolver":"https://pith.science/pith/SGFZHWUVZTZFAMCPXN6Y4INXGV","bundle":"https://pith.science/pith/SGFZHWUVZTZFAMCPXN6Y4INXGV/bundle.json","state":"https://pith.science/pith/SGFZHWUVZTZFAMCPXN6Y4INXGV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SGFZHWUVZTZFAMCPXN6Y4INXGV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:SGFZHWUVZTZFAMCPXN6Y4INXGV","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":"9e27fdf91d3bc01f44d4d0570a76f459417e2922240808f79b0cccd4d38ba11e","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-05T09:05:10Z","title_canon_sha256":"919c125dccc7b88ab9d3f3cdc715c9962c7fc18314e1d5f4f62bcf317b17708a"},"schema_version":"1.0","source":{"id":"astro-ph/0512090","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0512090","created_at":"2026-07-04T17:14:41Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0512090v2","created_at":"2026-07-04T17:14:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0512090","created_at":"2026-07-04T17:14:41Z"},{"alias_kind":"pith_short_12","alias_value":"SGFZHWUVZTZF","created_at":"2026-07-04T17:14:41Z"},{"alias_kind":"pith_short_16","alias_value":"SGFZHWUVZTZFAMCP","created_at":"2026-07-04T17:14:41Z"},{"alias_kind":"pith_short_8","alias_value":"SGFZHWUV","created_at":"2026-07-04T17:14:41Z"}],"graph_snapshots":[{"event_id":"sha256:ef2cf8c4d596dc1cb9a9fb49ace38f3bbb2c0e502f0682b11abfbe3b5f74231b","target":"graph","created_at":"2026-07-04T17:14:41Z","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/astro-ph/0512090/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present an analytic solution to diffusion equation for high energy cosmic rays in the expanding universe. The particles are assumed to be ultra-relativistic and they can have energy losses arbitrarily dependent on energy and time. The obtained solution generalizes the Syrovatsky solution, valid for the case when energy losses and diffusion coefficient are time-independent.","authors_text":"A. Z. Gazizov, V. Berezinsky","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2005-12-05T09:05:10Z","title":"Diffusion of Cosmic Rays in Expanding Universe. (I)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0512090","kind":"arxiv","version":2},"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":"sha256:9c01639960d26e19c2bfe3db3e5497ffd7420db9fd2eb5366e5067d4bbc62854","target":"record","created_at":"2026-07-04T17:14:41Z","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":"9e27fdf91d3bc01f44d4d0570a76f459417e2922240808f79b0cccd4d38ba11e","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-12-05T09:05:10Z","title_canon_sha256":"919c125dccc7b88ab9d3f3cdc715c9962c7fc18314e1d5f4f62bcf317b17708a"},"schema_version":"1.0","source":{"id":"astro-ph/0512090","kind":"arxiv","version":2}},"canonical_sha256":"918b93da95ccf250304fbb7d8e21b7356ac14c99edbaf2f5b76d1899621acbc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"918b93da95ccf250304fbb7d8e21b7356ac14c99edbaf2f5b76d1899621acbc7","first_computed_at":"2026-07-04T17:14:41.188827Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:14:41.188827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6p6eU4OpQ7Jza5AGC1+NdOc9+H5IwZ1h7beZ7UvvJ27zmEOK/7b/WVvopo0XtkQqHwLgabnGgIEpTTHigB5nDA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:14:41.189197Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0512090","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c01639960d26e19c2bfe3db3e5497ffd7420db9fd2eb5366e5067d4bbc62854","sha256:ef2cf8c4d596dc1cb9a9fb49ace38f3bbb2c0e502f0682b11abfbe3b5f74231b"],"state_sha256":"fd828309e6bc77d39af92a88a0861bcfdd70ae27fd161051617319563e409ea0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JfHbN+lhFDVaNW96X7fH5C+hsXy8Gi94YGASARH0y7/IiQ2/FCTXYIcs+T3UnKQvJoh5Z4TFeD62tqAq4gDfDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T09:22:53.368508Z","bundle_sha256":"5075b1e242b888e3019ce0fc63805aa1cf94ef44ba53b9081d1269f9b081b4b7"}}