{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XNPNU5PAWT5K6HNEGLZK2HRHTO","short_pith_number":"pith:XNPNU5PA","canonical_record":{"source":{"id":"1310.2181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-10-08T15:43:15Z","cross_cats_sorted":[],"title_canon_sha256":"e709e35bfc0714af9449db3f21e52ae10fd8d736b6f574ed48c79601c84244f9","abstract_canon_sha256":"540dbba4d2a40c4719616b8df26619150f14b7c8c7fd224aafd7f51559b044bb"},"schema_version":"1.0"},"canonical_sha256":"bb5eda75e0b4faaf1da432f2ad1e279ba85eff1fe0755d05e8a1cefd8a9f335e","source":{"kind":"arxiv","id":"1310.2181","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2181","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2181v1","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2181","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"pith_short_12","alias_value":"XNPNU5PAWT5K","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XNPNU5PAWT5K6HNE","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XNPNU5PA","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XNPNU5PAWT5K6HNEGLZK2HRHTO","target":"record","payload":{"canonical_record":{"source":{"id":"1310.2181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-10-08T15:43:15Z","cross_cats_sorted":[],"title_canon_sha256":"e709e35bfc0714af9449db3f21e52ae10fd8d736b6f574ed48c79601c84244f9","abstract_canon_sha256":"540dbba4d2a40c4719616b8df26619150f14b7c8c7fd224aafd7f51559b044bb"},"schema_version":"1.0"},"canonical_sha256":"bb5eda75e0b4faaf1da432f2ad1e279ba85eff1fe0755d05e8a1cefd8a9f335e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:13.634792Z","signature_b64":"BNwT4B+rOQYm13fSNpx84Or7bdjFhV5NW4BYje5+42iTWRgQlPlVU1EFhNUVQFToD5EJBO5qkUNosPxPgyYdCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb5eda75e0b4faaf1da432f2ad1e279ba85eff1fe0755d05e8a1cefd8a9f335e","last_reissued_at":"2026-05-18T01:47:13.633998Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:13.633998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.2181","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:47:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qCd01/gXswKjVUrdXaK6vdYxryP0M3j1+iTNKXhWuQlK0VkoKUKuMJB+G15PCPOFL4gK3XB2KQZCHwbCTE2cBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:56:33.939792Z"},"content_sha256":"e461037d6692fd48a22f98be750ce675bdb266caf6a1953286b44f6f3ac62685","schema_version":"1.0","event_id":"sha256:e461037d6692fd48a22f98be750ce675bdb266caf6a1953286b44f6f3ac62685"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XNPNU5PAWT5K6HNEGLZK2HRHTO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Complete Reference of the Analytical Synchrotron External Shock Models of Gamma-Ray Bursts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Bing Zhang, He Gao, Wei-Hua Lei, Xue-Feng Wu, Yuan-Chuan Zou","submitted_at":"2013-10-08T15:43:15Z","abstract_excerpt":"Gamma-ray bursts are most luminous explosions in the universe. Their ejecta are believed to move towards Earth with a relativistic speed. The interaction between this \"relativistic jet\" and a circum burst medium drives a pair of (forward and reverse) shocks. The electrons accelerated in these shocks radiate synchrotron emission to power the broad-band afterglow of GRBs. The external shock theory is an elegant theory, since it invokes a limit number of model parameters, and has well predicted spectral and temporal properties. On the other hand, depending on many factors (e.g. the energy content"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2181","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:47:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UfuRrk/aJ2MANn/nqnHjNtzBWCohgnok51Uo1ghmRISf9fIWjhJhWVP8JzdD4QyFDRrri6kfiJbfKqOcDahyCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:56:33.940478Z"},"content_sha256":"2872090b3b3a5536d2629a41e5d2e58dcf0b76bca71d60cb9c7a946a9ea49a9f","schema_version":"1.0","event_id":"sha256:2872090b3b3a5536d2629a41e5d2e58dcf0b76bca71d60cb9c7a946a9ea49a9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XNPNU5PAWT5K6HNEGLZK2HRHTO/bundle.json","state_url":"https://pith.science/pith/XNPNU5PAWT5K6HNEGLZK2HRHTO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XNPNU5PAWT5K6HNEGLZK2HRHTO/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":"2026-05-25T22:56:33Z","links":{"resolver":"https://pith.science/pith/XNPNU5PAWT5K6HNEGLZK2HRHTO","bundle":"https://pith.science/pith/XNPNU5PAWT5K6HNEGLZK2HRHTO/bundle.json","state":"https://pith.science/pith/XNPNU5PAWT5K6HNEGLZK2HRHTO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XNPNU5PAWT5K6HNEGLZK2HRHTO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XNPNU5PAWT5K6HNEGLZK2HRHTO","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":"540dbba4d2a40c4719616b8df26619150f14b7c8c7fd224aafd7f51559b044bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-10-08T15:43:15Z","title_canon_sha256":"e709e35bfc0714af9449db3f21e52ae10fd8d736b6f574ed48c79601c84244f9"},"schema_version":"1.0","source":{"id":"1310.2181","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2181","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2181v1","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2181","created_at":"2026-05-18T01:47:13Z"},{"alias_kind":"pith_short_12","alias_value":"XNPNU5PAWT5K","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XNPNU5PAWT5K6HNE","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XNPNU5PA","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:2872090b3b3a5536d2629a41e5d2e58dcf0b76bca71d60cb9c7a946a9ea49a9f","target":"graph","created_at":"2026-05-18T01:47:13Z","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":"Gamma-ray bursts are most luminous explosions in the universe. Their ejecta are believed to move towards Earth with a relativistic speed. The interaction between this \"relativistic jet\" and a circum burst medium drives a pair of (forward and reverse) shocks. The electrons accelerated in these shocks radiate synchrotron emission to power the broad-band afterglow of GRBs. The external shock theory is an elegant theory, since it invokes a limit number of model parameters, and has well predicted spectral and temporal properties. On the other hand, depending on many factors (e.g. the energy content","authors_text":"Bing Zhang, He Gao, Wei-Hua Lei, Xue-Feng Wu, Yuan-Chuan Zou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-10-08T15:43:15Z","title":"A Complete Reference of the Analytical Synchrotron External Shock Models of Gamma-Ray Bursts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2181","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:e461037d6692fd48a22f98be750ce675bdb266caf6a1953286b44f6f3ac62685","target":"record","created_at":"2026-05-18T01:47:13Z","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":"540dbba4d2a40c4719616b8df26619150f14b7c8c7fd224aafd7f51559b044bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2013-10-08T15:43:15Z","title_canon_sha256":"e709e35bfc0714af9449db3f21e52ae10fd8d736b6f574ed48c79601c84244f9"},"schema_version":"1.0","source":{"id":"1310.2181","kind":"arxiv","version":1}},"canonical_sha256":"bb5eda75e0b4faaf1da432f2ad1e279ba85eff1fe0755d05e8a1cefd8a9f335e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb5eda75e0b4faaf1da432f2ad1e279ba85eff1fe0755d05e8a1cefd8a9f335e","first_computed_at":"2026-05-18T01:47:13.633998Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:47:13.633998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BNwT4B+rOQYm13fSNpx84Or7bdjFhV5NW4BYje5+42iTWRgQlPlVU1EFhNUVQFToD5EJBO5qkUNosPxPgyYdCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:47:13.634792Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.2181","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e461037d6692fd48a22f98be750ce675bdb266caf6a1953286b44f6f3ac62685","sha256:2872090b3b3a5536d2629a41e5d2e58dcf0b76bca71d60cb9c7a946a9ea49a9f"],"state_sha256":"df64e715599bbf464292b89c4ccd09a3c105951ecba3e752638309d45acae688"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8mlAtegBXfl+x4n0wEWG/25RgR6JyVwi13GZsMJmjz/XF/V76B6wm0R8A4agugavdYQvzv+wfDiiFdSZvG7bCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:56:33.943806Z","bundle_sha256":"7610ee2fe2e4628543153090ab1118502fe7ea396630eb67eceb690477ca257a"}}