{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:2YQYBG73XRVRTJTOANZCPXQWRJ","short_pith_number":"pith:2YQYBG73","canonical_record":{"source":{"id":"2506.05847","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-06-06T08:04:16Z","cross_cats_sorted":[],"title_canon_sha256":"e5adfa5965e76b264c21314e35d04b6c98de37f330750ddcf14c645e745cc53e","abstract_canon_sha256":"482d92f558bee737747f9b24c26422faaf63ae1a98111e9592c30250062eefc6"},"schema_version":"1.0"},"canonical_sha256":"d621809bfbbc6b19a66e037227de168a4d14db953e6793541bd283e8fa108d50","source":{"kind":"arxiv","id":"2506.05847","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.05847","created_at":"2026-07-05T11:17:11Z"},{"alias_kind":"arxiv_version","alias_value":"2506.05847v1","created_at":"2026-07-05T11:17:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.05847","created_at":"2026-07-05T11:17:11Z"},{"alias_kind":"pith_short_12","alias_value":"2YQYBG73XRVR","created_at":"2026-07-05T11:17:11Z"},{"alias_kind":"pith_short_16","alias_value":"2YQYBG73XRVRTJTO","created_at":"2026-07-05T11:17:11Z"},{"alias_kind":"pith_short_8","alias_value":"2YQYBG73","created_at":"2026-07-05T11:17:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:2YQYBG73XRVRTJTOANZCPXQWRJ","target":"record","payload":{"canonical_record":{"source":{"id":"2506.05847","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-06-06T08:04:16Z","cross_cats_sorted":[],"title_canon_sha256":"e5adfa5965e76b264c21314e35d04b6c98de37f330750ddcf14c645e745cc53e","abstract_canon_sha256":"482d92f558bee737747f9b24c26422faaf63ae1a98111e9592c30250062eefc6"},"schema_version":"1.0"},"canonical_sha256":"d621809bfbbc6b19a66e037227de168a4d14db953e6793541bd283e8fa108d50","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:17:11.182579Z","signature_b64":"GLivW7uJr7Pe8+odEBPEVVBqmRS2XlIeWlmQxUrSTIreaXIMdqMPExN6PP/vDCtGqp/4VkJKR+k3aVveXgImAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d621809bfbbc6b19a66e037227de168a4d14db953e6793541bd283e8fa108d50","last_reissued_at":"2026-07-05T11:17:11.182011Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:17:11.182011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.05847","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":"2026-07-05T11:17:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y/otHIEoPfNveGTk41E71vQtPb7UH4B4eb1hMNG7kiuBNj+b2uGNW1i1WDSv0pjSJcDl3nkl4DpqYFZwdefLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:26:13.348740Z"},"content_sha256":"35cbc22b8e1681e3e8b6ec68aa35c17690651dbe5d9e0d2276fe23f943a01f9d","schema_version":"1.0","event_id":"sha256:35cbc22b8e1681e3e8b6ec68aa35c17690651dbe5d9e0d2276fe23f943a01f9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:2YQYBG73XRVRTJTOANZCPXQWRJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Features of the Spatial Distribution of Galaxy Clusters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Alexandr D. Kaminker, Andrei I. Ryabinkov","submitted_at":"2025-06-06T08:04:16Z","abstract_excerpt":"A statistical analysis of anisotropic quasiperiodic features of the spatial distribution of galaxy clusters obtained on the basis of spectroscopic and photometric redshifts in the interval $0.1 \\leq z \\leq 0.47$ has been carried out. Based on data from the SDSS~III catalog, we show that the preferential direction previously detected in the northern hemisphere (a narrow cone of directions: $\\alpha_0=170^\\circ \\pm 5^\\circ, \\ \\delta_0= 29^\\circ \\pm 5^\\circ$), along which the one-dimensional distribution of projections of the Cartesian coordinates of clusters contains a significant ($\\gtrsim (4 - "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.05847","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.05847/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:17:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XOLmAHJss6ryFuLu2EWWZg1yn+OD/V4PQg1vyh5n3pbqt9NYyrR9SQEa0rOJvaJ3zINghjSa+OeRV06zjZJrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:26:13.349238Z"},"content_sha256":"1acdd4f0c1393a91a2e996e6d4ea798e827dc6256950e2493e0b3c5f03f38033","schema_version":"1.0","event_id":"sha256:1acdd4f0c1393a91a2e996e6d4ea798e827dc6256950e2493e0b3c5f03f38033"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2YQYBG73XRVRTJTOANZCPXQWRJ/bundle.json","state_url":"https://pith.science/pith/2YQYBG73XRVRTJTOANZCPXQWRJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2YQYBG73XRVRTJTOANZCPXQWRJ/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":"2026-08-08T20:26:13Z","links":{"resolver":"https://pith.science/pith/2YQYBG73XRVRTJTOANZCPXQWRJ","bundle":"https://pith.science/pith/2YQYBG73XRVRTJTOANZCPXQWRJ/bundle.json","state":"https://pith.science/pith/2YQYBG73XRVRTJTOANZCPXQWRJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2YQYBG73XRVRTJTOANZCPXQWRJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2YQYBG73XRVRTJTOANZCPXQWRJ","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":"482d92f558bee737747f9b24c26422faaf63ae1a98111e9592c30250062eefc6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-06-06T08:04:16Z","title_canon_sha256":"e5adfa5965e76b264c21314e35d04b6c98de37f330750ddcf14c645e745cc53e"},"schema_version":"1.0","source":{"id":"2506.05847","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.05847","created_at":"2026-07-05T11:17:11Z"},{"alias_kind":"arxiv_version","alias_value":"2506.05847v1","created_at":"2026-07-05T11:17:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.05847","created_at":"2026-07-05T11:17:11Z"},{"alias_kind":"pith_short_12","alias_value":"2YQYBG73XRVR","created_at":"2026-07-05T11:17:11Z"},{"alias_kind":"pith_short_16","alias_value":"2YQYBG73XRVRTJTO","created_at":"2026-07-05T11:17:11Z"},{"alias_kind":"pith_short_8","alias_value":"2YQYBG73","created_at":"2026-07-05T11:17:11Z"}],"graph_snapshots":[{"event_id":"sha256:1acdd4f0c1393a91a2e996e6d4ea798e827dc6256950e2493e0b3c5f03f38033","target":"graph","created_at":"2026-07-05T11:17:11Z","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/2506.05847/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A statistical analysis of anisotropic quasiperiodic features of the spatial distribution of galaxy clusters obtained on the basis of spectroscopic and photometric redshifts in the interval $0.1 \\leq z \\leq 0.47$ has been carried out. Based on data from the SDSS~III catalog, we show that the preferential direction previously detected in the northern hemisphere (a narrow cone of directions: $\\alpha_0=170^\\circ \\pm 5^\\circ, \\ \\delta_0= 29^\\circ \\pm 5^\\circ$), along which the one-dimensional distribution of projections of the Cartesian coordinates of clusters contains a significant ($\\gtrsim (4 - ","authors_text":"Alexandr D. Kaminker, Andrei I. Ryabinkov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-06-06T08:04:16Z","title":"Features of the Spatial Distribution of Galaxy Clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.05847","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":"sha256:35cbc22b8e1681e3e8b6ec68aa35c17690651dbe5d9e0d2276fe23f943a01f9d","target":"record","created_at":"2026-07-05T11:17:11Z","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":"482d92f558bee737747f9b24c26422faaf63ae1a98111e9592c30250062eefc6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-06-06T08:04:16Z","title_canon_sha256":"e5adfa5965e76b264c21314e35d04b6c98de37f330750ddcf14c645e745cc53e"},"schema_version":"1.0","source":{"id":"2506.05847","kind":"arxiv","version":1}},"canonical_sha256":"d621809bfbbc6b19a66e037227de168a4d14db953e6793541bd283e8fa108d50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d621809bfbbc6b19a66e037227de168a4d14db953e6793541bd283e8fa108d50","first_computed_at":"2026-07-05T11:17:11.182011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:17:11.182011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GLivW7uJr7Pe8+odEBPEVVBqmRS2XlIeWlmQxUrSTIreaXIMdqMPExN6PP/vDCtGqp/4VkJKR+k3aVveXgImAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:17:11.182579Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.05847","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35cbc22b8e1681e3e8b6ec68aa35c17690651dbe5d9e0d2276fe23f943a01f9d","sha256:1acdd4f0c1393a91a2e996e6d4ea798e827dc6256950e2493e0b3c5f03f38033"],"state_sha256":"61069e1b21be42838679a04eddf685298432db3d000e8dc9f705f37e693b648c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8lx8v1vyHzOfalZfs/tN7imhY5KZFG0vDkNmf2mjtv9RgU+fjDachYB2dyjx2HJwoQVnIicKViWV8f99vSsuDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T20:26:13.353018Z","bundle_sha256":"b64c7f24ac4457777d678b9c76f3c6e7335e663947c8bfbcc40dddf60e3a5e49"}}