{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:WQWA6MKEWK7DTFGSGPZNSNCPYB","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":"69c892de004bde0448b57b032c46f1ef325c7221fd1141da55e13ac8faecd4a3","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1993-12-24T17:51:51Z","title_canon_sha256":"c0434f0287d001897cc31476b0e8d503476741ae29141a8ef17af535e13f6cf7"},"schema_version":"1.0","source":{"id":"astro-ph/9312058","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9312058","created_at":"2026-05-18T04:21:41Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9312058v1","created_at":"2026-05-18T04:21:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9312058","created_at":"2026-05-18T04:21:41Z"},{"alias_kind":"pith_short_12","alias_value":"WQWA6MKEWK7D","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"WQWA6MKEWK7DTFGS","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"WQWA6MKE","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:4eee14a106e15888ed2b1f2ad55ad2e39dc02d812d0dd1e894e22ee04cad149b","target":"graph","created_at":"2026-05-18T04:21:41Z","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":"Quasar-galaxy associations, if they result from the effect of gravitational lensing by foreground galaxies, depend sensitively on the shape of the quasar number counts. Two kinds of quasar number-magnitude relations are predicted to produce quite different properties in quasar-galaxy associations: the counts of Boyle, Shanks and Peterson (1988; BSP) provide both positive and ``negative\" associations between distant quasars and foreground galaxies, relating closely with the knee ($B\\approx19.15$) in these counts. However, Hawkins and V\\'eron (1993; HV) quasar data lead to only a positive magnit","authors_text":"Xiang-Ping Wu","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1993-12-24T17:51:51Z","title":"A further discussion on quasar-galaxy associations from gravitational lensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9312058","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:cc192c161d4eac08bbd42624b3ebd142355f0a662d066ec081151e4371b5ce5e","target":"record","created_at":"2026-05-18T04:21:41Z","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":"69c892de004bde0448b57b032c46f1ef325c7221fd1141da55e13ac8faecd4a3","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1993-12-24T17:51:51Z","title_canon_sha256":"c0434f0287d001897cc31476b0e8d503476741ae29141a8ef17af535e13f6cf7"},"schema_version":"1.0","source":{"id":"astro-ph/9312058","kind":"arxiv","version":1}},"canonical_sha256":"b42c0f3144b2be3994d233f2d9344fc059135cafddee698e927b44e0b60d5512","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b42c0f3144b2be3994d233f2d9344fc059135cafddee698e927b44e0b60d5512","first_computed_at":"2026-05-18T04:21:41.273358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:41.273358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ST0xFsTQumjNr3vfOw2AMDrrnpf8aP5eu9NCZQPOi6odVjw6rIhSH8YHGsCEzdGWsEdN3JiLWEww71C+/toXCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:41.273969Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9312058","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc192c161d4eac08bbd42624b3ebd142355f0a662d066ec081151e4371b5ce5e","sha256:4eee14a106e15888ed2b1f2ad55ad2e39dc02d812d0dd1e894e22ee04cad149b"],"state_sha256":"9ea14e01f1ecd50851e4c48e61317e222e1205d819765bc39c4f5844508289f4"}