{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:5UHTU5IDUR3CNLFT3RZT5G2LAT","short_pith_number":"pith:5UHTU5ID","canonical_record":{"source":{"id":"0711.1792","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-11-12T14:57:02Z","cross_cats_sorted":[],"title_canon_sha256":"1a2b597760202ccebd23f7ec05462413f7688641fe26925334f6b57a37428011","abstract_canon_sha256":"07772a722d940c7878bf4ce51ab9a70f8fc83b7dccec7d8352aa00964d8508e3"},"schema_version":"1.0"},"canonical_sha256":"ed0f3a7503a47626acb3dc733e9b4b04da9d98051c94b6b31cbe5bfde1f183a0","source":{"kind":"arxiv","id":"0711.1792","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.1792","created_at":"2026-05-18T04:36:41Z"},{"alias_kind":"arxiv_version","alias_value":"0711.1792v2","created_at":"2026-05-18T04:36:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.1792","created_at":"2026-05-18T04:36:41Z"},{"alias_kind":"pith_short_12","alias_value":"5UHTU5IDUR3C","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"5UHTU5IDUR3CNLFT","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"5UHTU5ID","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:5UHTU5IDUR3CNLFT3RZT5G2LAT","target":"record","payload":{"canonical_record":{"source":{"id":"0711.1792","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-11-12T14:57:02Z","cross_cats_sorted":[],"title_canon_sha256":"1a2b597760202ccebd23f7ec05462413f7688641fe26925334f6b57a37428011","abstract_canon_sha256":"07772a722d940c7878bf4ce51ab9a70f8fc83b7dccec7d8352aa00964d8508e3"},"schema_version":"1.0"},"canonical_sha256":"ed0f3a7503a47626acb3dc733e9b4b04da9d98051c94b6b31cbe5bfde1f183a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:41.757202Z","signature_b64":"dGHlgExNZV/q67bfHUmfuYgG2oyue+dCWNyNVAcvI0F5eZ5Uouq5/lHMHM5eTs7c/qrAwFyhC0h0Q6puNxlJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed0f3a7503a47626acb3dc733e9b4b04da9d98051c94b6b31cbe5bfde1f183a0","last_reissued_at":"2026-05-18T04:36:41.756758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:41.756758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0711.1792","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":"2026-05-18T04:36:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KmgXEyBqbrvqFCpZ7yqSWJFg9rHHKHt37s+ummIMXPnMjfhch4Yl3tVB8qrsfUVMcSRzI9t+YWr3J8w5yS7cCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:19:28.503089Z"},"content_sha256":"a37888585ca707a484751e3d0372417a7f711fc2739a32fb77f4e31f6fd95166","schema_version":"1.0","event_id":"sha256:a37888585ca707a484751e3d0372417a7f711fc2739a32fb77f4e31f6fd95166"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:5UHTU5IDUR3CNLFT3RZT5G2LAT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Overcoming the Circular Problem for \\gamma-ray Bursts in Cosmological Global Fitting Analysis","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Gong-Bo Zhao, Hong Li, Jie Liu, Jun-Qing Xia, Xinmin Zhang, Zu-Hui Fan","submitted_at":"2007-11-12T14:57:02Z","abstract_excerpt":"Due to the lack of low redshift long Gamma-Ray Bursts (GRBs), the circular problem has been a severe obstacle for using GRBs as cosmological candles. In this paper, we present a new method to deal with such a problem in MCMC global fitting analysis. Assuming that a certain type of correlations between different observables exists in a subsample of GRBs, for the parameters involved in the correlation relation, we treat them as free parameters and determine them simultaneously with cosmological parameters through MCMC analysis on GRB data together with other observational data. Then the circular"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.1792","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:36:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dpMEL6Bl5xAdmfXK6Up5t86NbKKS54wZM8yMoHXB2uy8cOW6DWQX4YbgSwP0MQvg3BA6NfabCrm002+zg5XOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:19:28.503721Z"},"content_sha256":"2ca2cdf0da088b2ecb1bf766996b0a6a92b546f5058f5552a2ae120c7a14bf90","schema_version":"1.0","event_id":"sha256:2ca2cdf0da088b2ecb1bf766996b0a6a92b546f5058f5552a2ae120c7a14bf90"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5UHTU5IDUR3CNLFT3RZT5G2LAT/bundle.json","state_url":"https://pith.science/pith/5UHTU5IDUR3CNLFT3RZT5G2LAT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5UHTU5IDUR3CNLFT3RZT5G2LAT/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":"2026-05-26T20:19:28Z","links":{"resolver":"https://pith.science/pith/5UHTU5IDUR3CNLFT3RZT5G2LAT","bundle":"https://pith.science/pith/5UHTU5IDUR3CNLFT3RZT5G2LAT/bundle.json","state":"https://pith.science/pith/5UHTU5IDUR3CNLFT3RZT5G2LAT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5UHTU5IDUR3CNLFT3RZT5G2LAT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:5UHTU5IDUR3CNLFT3RZT5G2LAT","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":"07772a722d940c7878bf4ce51ab9a70f8fc83b7dccec7d8352aa00964d8508e3","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2007-11-12T14:57:02Z","title_canon_sha256":"1a2b597760202ccebd23f7ec05462413f7688641fe26925334f6b57a37428011"},"schema_version":"1.0","source":{"id":"0711.1792","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.1792","created_at":"2026-05-18T04:36:41Z"},{"alias_kind":"arxiv_version","alias_value":"0711.1792v2","created_at":"2026-05-18T04:36:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.1792","created_at":"2026-05-18T04:36:41Z"},{"alias_kind":"pith_short_12","alias_value":"5UHTU5IDUR3C","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"5UHTU5IDUR3CNLFT","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"5UHTU5ID","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:2ca2cdf0da088b2ecb1bf766996b0a6a92b546f5058f5552a2ae120c7a14bf90","target":"graph","created_at":"2026-05-18T04:36:41Z","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"},"paper":{"abstract_excerpt":"Due to the lack of low redshift long Gamma-Ray Bursts (GRBs), the circular problem has been a severe obstacle for using GRBs as cosmological candles. In this paper, we present a new method to deal with such a problem in MCMC global fitting analysis. Assuming that a certain type of correlations between different observables exists in a subsample of GRBs, for the parameters involved in the correlation relation, we treat them as free parameters and determine them simultaneously with cosmological parameters through MCMC analysis on GRB data together with other observational data. Then the circular","authors_text":"Gong-Bo Zhao, Hong Li, Jie Liu, Jun-Qing Xia, Xinmin Zhang, Zu-Hui Fan","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2007-11-12T14:57:02Z","title":"Overcoming the Circular Problem for \\gamma-ray Bursts in Cosmological Global Fitting Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.1792","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:a37888585ca707a484751e3d0372417a7f711fc2739a32fb77f4e31f6fd95166","target":"record","created_at":"2026-05-18T04:36:41Z","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":"07772a722d940c7878bf4ce51ab9a70f8fc83b7dccec7d8352aa00964d8508e3","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2007-11-12T14:57:02Z","title_canon_sha256":"1a2b597760202ccebd23f7ec05462413f7688641fe26925334f6b57a37428011"},"schema_version":"1.0","source":{"id":"0711.1792","kind":"arxiv","version":2}},"canonical_sha256":"ed0f3a7503a47626acb3dc733e9b4b04da9d98051c94b6b31cbe5bfde1f183a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed0f3a7503a47626acb3dc733e9b4b04da9d98051c94b6b31cbe5bfde1f183a0","first_computed_at":"2026-05-18T04:36:41.756758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:41.756758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dGHlgExNZV/q67bfHUmfuYgG2oyue+dCWNyNVAcvI0F5eZ5Uouq5/lHMHM5eTs7c/qrAwFyhC0h0Q6puNxlJDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:41.757202Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.1792","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a37888585ca707a484751e3d0372417a7f711fc2739a32fb77f4e31f6fd95166","sha256:2ca2cdf0da088b2ecb1bf766996b0a6a92b546f5058f5552a2ae120c7a14bf90"],"state_sha256":"6bb810b7006eea1e6796b7d2780610e52dec9442d4dddfc5f891ec5bcf067475"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vqWPNHKEquhZL9jXEcC/TmuO5b6Yub8wqhN7tDI2w+5kLNF5jKBjiLnchdDESYPjY8vlxDq33RJ/0hmrk6hzAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:19:28.507678Z","bundle_sha256":"b1eaf2a925d50e4a2cb5a659baac295072dc8f0182b8e2fed895e424d76c4587"}}