{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:R63LWCMFE46BKY7C7PA2YCGK47","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":"aa9d450ab89e60f4d336cf355a7dda8903c66934f6b6b946adbc77163da23400","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2000-10-13T10:04:34Z","title_canon_sha256":"af0fbb2febdf06a5b970cc2a2ebb486798fb94e6ce9ea36e7337bba3a6fec3b3"},"schema_version":"1.0","source":{"id":"astro-ph/0010261","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0010261","created_at":"2026-07-04T16:17:23Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0010261v4","created_at":"2026-07-04T16:17:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0010261","created_at":"2026-07-04T16:17:23Z"},{"alias_kind":"pith_short_12","alias_value":"R63LWCMFE46B","created_at":"2026-07-04T16:17:23Z"},{"alias_kind":"pith_short_16","alias_value":"R63LWCMFE46BKY7C","created_at":"2026-07-04T16:17:23Z"},{"alias_kind":"pith_short_8","alias_value":"R63LWCMF","created_at":"2026-07-04T16:17:23Z"}],"graph_snapshots":[{"event_id":"sha256:96a42b87f4c3e28a6492f6449102919eb9a23d6aeb2453f76377c17535f4cd12","target":"graph","created_at":"2026-07-04T16:17:23Z","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/0010261/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Some progenitor models of gamma-ray bursts (GRBs) (e.g., collapsars) may produce anisotropic jets in which the energy per unit solid angle is a power-law function of the angle ($\\propto\\theta^{-k}$). We calculate light curves and spectra for GRB afterglows when such jets expand either in the interstellar medium or in the wind medium. In particular, we take into account two kinds of wind: one ($n\\propto r^{-3/2}$) possibly from a typical red supergiant star and another ($n\\propto r^{-2}$) possibly from a Wolf-Rayet star. We find that in each type of medium, one break appears in the late-time af","authors_text":"Z. G. Dai & L. J. Gou (Nanjing University)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2000-10-13T10:04:34Z","title":"GRB Afterglows from Anisotropic Jets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0010261","kind":"arxiv","version":4},"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":"sha256:7f280ffa449187c7902a39ab533527bd692d3c20514c90d8bca28458cf3d6c22","target":"record","created_at":"2026-07-04T16:17:23Z","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":"aa9d450ab89e60f4d336cf355a7dda8903c66934f6b6b946adbc77163da23400","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2000-10-13T10:04:34Z","title_canon_sha256":"af0fbb2febdf06a5b970cc2a2ebb486798fb94e6ce9ea36e7337bba3a6fec3b3"},"schema_version":"1.0","source":{"id":"astro-ph/0010261","kind":"arxiv","version":4}},"canonical_sha256":"8fb6bb0985273c1563e2fbc1ac08cae7d5be5c4e560f880a5c329ef84bab3aaa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8fb6bb0985273c1563e2fbc1ac08cae7d5be5c4e560f880a5c329ef84bab3aaa","first_computed_at":"2026-07-04T16:17:23.297978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:17:23.297978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hVXuOVEHGqAXxsBvHGNmW0g5eVwvTTaQ3AETheuCIfHIvHpRjxShlCUN+pdluwsftfjSZ7zwyDITO07Yl6m8Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:17:23.298421Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0010261","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f280ffa449187c7902a39ab533527bd692d3c20514c90d8bca28458cf3d6c22","sha256:96a42b87f4c3e28a6492f6449102919eb9a23d6aeb2453f76377c17535f4cd12"],"state_sha256":"dde776ed53aaf22a9faace644d25847e2a0b91cba6f8432186878bda742fd46e"}