{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:N5JTPDFTA3VIC4OPQYVVESDFQE","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":"2360e2e126c28953998ff8e44da69c74bbda4da1f6e406f8387aa5a264d56f2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-06-19T20:00:00Z","title_canon_sha256":"c7456a60fcb6b56e3f81c2fc755747b11988e7db135971e5fe96454f06b56638"},"schema_version":"1.0","source":{"id":"1306.4675","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4675","created_at":"2026-05-18T02:52:32Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4675v1","created_at":"2026-05-18T02:52:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4675","created_at":"2026-05-18T02:52:32Z"},{"alias_kind":"pith_short_12","alias_value":"N5JTPDFTA3VI","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"N5JTPDFTA3VIC4OP","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"N5JTPDFT","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:f0bd2aacab5ea4e0db488eb81a7935b81a0d5d16501ee063452d7e8402d47464","target":"graph","created_at":"2026-05-18T02:52:32Z","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":"The main obstacle for gravitational lensing to determine accurate masses of deflectors, or to determine precise estimates for the Hubble constant, is the degeneracy of lensing observables with respect to the mass-sheet transformation (MST). The MST is a global modification of the mass distribution which leaves all image positions, shapes and flux ratios invariant, but which changes the time delay. Here we show that another global transformation of lensing mass distributions exists which almost leaves image positions and flux ratios invariant, and of which the MST is a special case. Whereas for","authors_text":"Dominique Sluse (Argelander-Institut f\\\"ur Astronomie, Germany), Peter Schneider, Universit\\\"at Bonn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-06-19T20:00:00Z","title":"Source-position transformation -- an approximate invariance in strong gravitational lensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4675","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":"sha256:0c9b2f209b92f94f3110042b011f86481ea482ea4cc7e8c275260aebba124a90","target":"record","created_at":"2026-05-18T02:52:32Z","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":"2360e2e126c28953998ff8e44da69c74bbda4da1f6e406f8387aa5a264d56f2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-06-19T20:00:00Z","title_canon_sha256":"c7456a60fcb6b56e3f81c2fc755747b11988e7db135971e5fe96454f06b56638"},"schema_version":"1.0","source":{"id":"1306.4675","kind":"arxiv","version":1}},"canonical_sha256":"6f53378cb306ea8171cf862b524865810af049cc859d2aedb39988d1628559b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f53378cb306ea8171cf862b524865810af049cc859d2aedb39988d1628559b0","first_computed_at":"2026-05-18T02:52:32.425848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:32.425848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xUiXM3CSxQh41W2niFSBHOa6vG1pK+w5O0y6PGbfqdwgQ75os0oD8one4iAkIhBpasW1acVV872Au6d4QOmzCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:32.426365Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.4675","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c9b2f209b92f94f3110042b011f86481ea482ea4cc7e8c275260aebba124a90","sha256:f0bd2aacab5ea4e0db488eb81a7935b81a0d5d16501ee063452d7e8402d47464"],"state_sha256":"5c80e74474080cd7d11affe7e733a3b581bcdd0b95573a415bcc29ded69d4132"}