{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:LFA4ACVIRWJER76TNTU7MSYVBK","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":"2df9a65879ab249a76e4fa186d69cd7c560dcc482d9bd42fb998d2e7b69b70df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2009-08-31T12:03:37Z","title_canon_sha256":"c85bb36e31cfaa0076ec596ed2ccf20246ef99f8ec7e66f83419c99a1e739c0c"},"schema_version":"1.0","source":{"id":"0908.4511","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.4511","created_at":"2026-05-18T02:12:12Z"},{"alias_kind":"arxiv_version","alias_value":"0908.4511v1","created_at":"2026-05-18T02:12:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4511","created_at":"2026-05-18T02:12:12Z"},{"alias_kind":"pith_short_12","alias_value":"LFA4ACVIRWJE","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"LFA4ACVIRWJER76T","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"LFA4ACVI","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:61dfd7c437c6e7258ca73e066dc8122373a04eefc99563d90f1accf9ecd35888","target":"graph","created_at":"2026-05-18T02:12:12Z","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"},"paper":{"abstract_excerpt":"In the fireball model, it is more physically realistic that gamma-ray burst (GRB) ejecta have a range of bulk Lorentz factors (assuming $M\\propto \\Gamma^{-s}$). The low Lorentz factor part of the ejecta will catch up with the high Lorentz factor part when the latter is decelerated by the surrounding medium to a comparable Lorentz factor. Such a process will develop a long-lasting weak reverse shock until the whole ejecta are shocked. Meanwhile, the forward shocked materials are gradually supplied with energy from the ejecta that are catching-up, and thus the temporal decay of the forward shock","authors_text":"Tan Lu, Xue-Feng Wu, Xue-Wen Liu, Yuan-Chuan Zou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2009-08-31T12:03:37Z","title":"Early afterglows from radially structured outflows and the application to X-ray shallow decays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4511","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:f2e08210f4493a1d58e9ad4130b8ee9206d464c23fa964abb1b3affd650c1061","target":"record","created_at":"2026-05-18T02:12:12Z","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":"2df9a65879ab249a76e4fa186d69cd7c560dcc482d9bd42fb998d2e7b69b70df","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2009-08-31T12:03:37Z","title_canon_sha256":"c85bb36e31cfaa0076ec596ed2ccf20246ef99f8ec7e66f83419c99a1e739c0c"},"schema_version":"1.0","source":{"id":"0908.4511","kind":"arxiv","version":1}},"canonical_sha256":"5941c00aa88d9248ffd36ce9f64b150a9b944a21b758e7af0048d50abd30a921","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5941c00aa88d9248ffd36ce9f64b150a9b944a21b758e7af0048d50abd30a921","first_computed_at":"2026-05-18T02:12:12.730557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:12.730557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PtRsNYTsGd+VTIcgBJZx699ncOH+R83ZYWqofKfoQuvSHyECJtDFLQQd2hoyZ5KesAQbJeEDTOIzD3OG3dABBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:12.731119Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.4511","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2e08210f4493a1d58e9ad4130b8ee9206d464c23fa964abb1b3affd650c1061","sha256:61dfd7c437c6e7258ca73e066dc8122373a04eefc99563d90f1accf9ecd35888"],"state_sha256":"e6188ea98a78fb2663360ac6f4651e6f2ecc6ba96d92d87b794833e5a80e5540"}