{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:XRRQQQZLCYHLVDNSQFQPZYPVK5","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":"c40d3a4257f2e5fe47a8e67fbf65fabee6ad2ec7dbf89d2c401ff31b503acc5b","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-12-02T21:00:16Z","title_canon_sha256":"6208cae73360c966ad0bafdc1d583c8518751e98cf01756f1d6adf7156fd418f"},"schema_version":"1.0","source":{"id":"0912.0515","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.0515","created_at":"2026-05-18T02:10:34Z"},{"alias_kind":"arxiv_version","alias_value":"0912.0515v1","created_at":"2026-05-18T02:10:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0515","created_at":"2026-05-18T02:10:34Z"},{"alias_kind":"pith_short_12","alias_value":"XRRQQQZLCYHL","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"XRRQQQZLCYHLVDNS","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"XRRQQQZL","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:1e23c26d01787d7b51c629a9120887314bbc608e0106a32e0cb56935f5fac880","target":"graph","created_at":"2026-05-18T02:10:34Z","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":"A nearby star having a near-transit of a galaxy will cause a time-dependent weak lensing of the galaxy. Because the effect is small, we refer to this as weak microlensing. This could provide a useful method to weigh low-mass stars and brown dwarfs. We examine the feasibility of measuring masses in this way and we find that a star causes measurable weak microlensing in a galaxy even at 10 Einstein radii away. Of order one magnitude I < 25 galaxy comes close enough to one or other of the ~100 nearest stars per year.","authors_text":"Hans Martin Schmid, Jonathan Coles, Prasenjit Saha","cross_cats":["astro-ph.IM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-12-02T21:00:16Z","title":"Weak Microlensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0515","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":"sha256:43b6af013d2f07b425baa6ad18941d818e15d44cf0d7b73681b0a241c3723181","target":"record","created_at":"2026-05-18T02:10:34Z","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":"c40d3a4257f2e5fe47a8e67fbf65fabee6ad2ec7dbf89d2c401ff31b503acc5b","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-12-02T21:00:16Z","title_canon_sha256":"6208cae73360c966ad0bafdc1d583c8518751e98cf01756f1d6adf7156fd418f"},"schema_version":"1.0","source":{"id":"0912.0515","kind":"arxiv","version":1}},"canonical_sha256":"bc6308432b160eba8db28160fce1f55771bd0310e4b09cdb52b8252518dc69bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc6308432b160eba8db28160fce1f55771bd0310e4b09cdb52b8252518dc69bf","first_computed_at":"2026-05-18T02:10:34.480744Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:34.480744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ugGMZ5tUKbqn7rVn9FDWTfBl0NbAcR9MbpZWf59lQF1CicLfHgZh3WFFYQUiAzPi/y5Wj5nRgDLEC8/rt+KPDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:34.481423Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.0515","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43b6af013d2f07b425baa6ad18941d818e15d44cf0d7b73681b0a241c3723181","sha256:1e23c26d01787d7b51c629a9120887314bbc608e0106a32e0cb56935f5fac880"],"state_sha256":"afe5d940253d8ffb9da60492a016c278f519ca2229a64f8f7bc5edaa845010b1"}