{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2MMDHALCEKDUJ7L35G7QGOQRZJ","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":"e9d8a006c881bcc30efe74cf2b7715e2ae38709b735d916308d7580e61feb224","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-11-30T18:16:05Z","title_canon_sha256":"5976044e9909814f977fdbec7d76b471e66cbd674323474cfa29808552e65b82"},"schema_version":"1.0","source":{"id":"1511.09414","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.09414","created_at":"2026-05-18T00:55:04Z"},{"alias_kind":"arxiv_version","alias_value":"1511.09414v3","created_at":"2026-05-18T00:55:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09414","created_at":"2026-05-18T00:55:04Z"},{"alias_kind":"pith_short_12","alias_value":"2MMDHALCEKDU","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2MMDHALCEKDUJ7L3","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2MMDHALC","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:edb1df0d85c3c6624b780e982fbb55ed7d718fa1af911807d938ed17fbab7f95","target":"graph","created_at":"2026-05-18T00:55:04Z","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":"We probe the statistical isotropy hypothesis of the large-scale structure with the second Planck Sunyaev-Zeldovich (PSZ2) galaxy clusters data set. Our analysis adopts a statistical-geometrical method which compares the 2-point angular correlation function of objects in antipodal patches of the sky. Given possible observational biases, such as the presence of anisotropic sky cuts and the non-uniform exposure of Planck's instrumentation, ensembles of Monte Carlo realisations are produced in order to assess the significance of our results. When these observational effects are properly taken into","authors_text":"A. Bernui, C. A. P. Bengaly Jr., I. S. Ferreira, J. S. Alcaniz","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-11-30T18:16:05Z","title":"Probing cosmological isotropy with Planck Sunyaev-Zeldovich galaxy clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09414","kind":"arxiv","version":3},"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":"sha256:0607675ff66523b4e8467348a206f49e7c73f23b95f53a3fc6a9965ba8834304","target":"record","created_at":"2026-05-18T00:55:04Z","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":"e9d8a006c881bcc30efe74cf2b7715e2ae38709b735d916308d7580e61feb224","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-11-30T18:16:05Z","title_canon_sha256":"5976044e9909814f977fdbec7d76b471e66cbd674323474cfa29808552e65b82"},"schema_version":"1.0","source":{"id":"1511.09414","kind":"arxiv","version":3}},"canonical_sha256":"d318338162228744fd7be9bf033a11ca7d6e8adc6fe21962acc450c41bc158b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d318338162228744fd7be9bf033a11ca7d6e8adc6fe21962acc450c41bc158b4","first_computed_at":"2026-05-18T00:55:04.227467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:04.227467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xJDX4VNQvt+Rd9gvTkQhy3sHPvJJiIcfN0tEI05KdUoZgc1ye9NK0T7gRxBHcJ/JqiGPwmAs33dASWc8nLc2Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:04.228057Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.09414","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0607675ff66523b4e8467348a206f49e7c73f23b95f53a3fc6a9965ba8834304","sha256:edb1df0d85c3c6624b780e982fbb55ed7d718fa1af911807d938ed17fbab7f95"],"state_sha256":"61f75e9a32a2c6482e8ed6af829f451ba83749af294e0be6aae8adb242489592"}