{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:F2QVL7P2JT7EWLIDBLE4MJH777","short_pith_number":"pith:F2QVL7P2","canonical_record":{"source":{"id":"1105.2295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-05-11T20:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"7bf2e92d4a870ad078489d72fac5a44b211dfbab677420fca44a47f6bc5954b8","abstract_canon_sha256":"694735cc8e09f0de4640071911714b51b748c55c3aa7b9c9c459d8564d6c9259"},"schema_version":"1.0"},"canonical_sha256":"2ea155fdfa4cfe4b2d030ac9c624ffffc9a9edbc2708246789b36e416ad82041","source":{"kind":"arxiv","id":"1105.2295","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2295","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2295v2","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2295","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"pith_short_12","alias_value":"F2QVL7P2JT7E","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"F2QVL7P2JT7EWLID","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"F2QVL7P2","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:F2QVL7P2JT7EWLIDBLE4MJH777","target":"record","payload":{"canonical_record":{"source":{"id":"1105.2295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-05-11T20:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"7bf2e92d4a870ad078489d72fac5a44b211dfbab677420fca44a47f6bc5954b8","abstract_canon_sha256":"694735cc8e09f0de4640071911714b51b748c55c3aa7b9c9c459d8564d6c9259"},"schema_version":"1.0"},"canonical_sha256":"2ea155fdfa4cfe4b2d030ac9c624ffffc9a9edbc2708246789b36e416ad82041","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:11.893420Z","signature_b64":"7sTEjZ9vKjOf5J497gEKPKEn7DcoDdUTKa6EMJiAsU2PSPS4Vu9bSUmybBjfS8AxMzZBQ4pGOrEWnaHb+ZPKCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ea155fdfa4cfe4b2d030ac9c624ffffc9a9edbc2708246789b36e416ad82041","last_reissued_at":"2026-05-18T03:19:11.892635Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:11.892635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.2295","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:19:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EW5/b4VlxZwh1+KRv8mahWRWPQaeH+WLVHDfDi82VhqTQdJyUghZY3QXzkiIdPjQPgIaIwza72svPMEwKLLdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:00:23.612658Z"},"content_sha256":"598c517d6837988d99c1d4aa221c8f2134dbe3a1dfb875e8ecc9e82a7f8d1f18","schema_version":"1.0","event_id":"sha256:598c517d6837988d99c1d4aa221c8f2134dbe3a1dfb875e8ecc9e82a7f8d1f18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:F2QVL7P2JT7EWLIDBLE4MJH777","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Universal Einstein Radius Distribution from 10,000 SDSS Clusters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Adi Zitrin, Jiangang Hao, Keiichi Umetsu, Masamune Oguri, Matthias Bartelmann, Narciso Ben\\'itez, Tom Broadhurst, Yoel Rephaeli","submitted_at":"2011-05-11T20:00:02Z","abstract_excerpt":"We present results from strong-lens modelling of 10,000 SDSS clusters, to establish the universal distribution of Einstein radii. Detailed lensing analyses have shown that the inner mass distribution of clusters can be accurately modelled by assuming light traces mass, successfully uncovering large numbers of multiple-images. Approximate critical curves and the effective Einstein radius of each cluster can therefore be readily calculated, from the distribution of member galaxies and scaled by their luminosities. We use a subsample of 10 well-studied clusters covered by both SDSS and HST to cal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2295","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T03:19:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Wl0Lr5UaZycOsm/2ma4wMwzxZtQEeGDyQ/pJ6xTcVguRPtFkBlYKirViPC5vo6NuHrwKIVMF7rXJaEZpTlGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:00:23.613281Z"},"content_sha256":"e3399f2ec31b7ca7b2de6fdf8f3c3d0e693b4c631b59ed3c4b8f6d191a3541f0","schema_version":"1.0","event_id":"sha256:e3399f2ec31b7ca7b2de6fdf8f3c3d0e693b4c631b59ed3c4b8f6d191a3541f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F2QVL7P2JT7EWLIDBLE4MJH777/bundle.json","state_url":"https://pith.science/pith/F2QVL7P2JT7EWLIDBLE4MJH777/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F2QVL7P2JT7EWLIDBLE4MJH777/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":"2026-05-25T22:00:23Z","links":{"resolver":"https://pith.science/pith/F2QVL7P2JT7EWLIDBLE4MJH777","bundle":"https://pith.science/pith/F2QVL7P2JT7EWLIDBLE4MJH777/bundle.json","state":"https://pith.science/pith/F2QVL7P2JT7EWLIDBLE4MJH777/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F2QVL7P2JT7EWLIDBLE4MJH777/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:F2QVL7P2JT7EWLIDBLE4MJH777","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":"694735cc8e09f0de4640071911714b51b748c55c3aa7b9c9c459d8564d6c9259","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-05-11T20:00:02Z","title_canon_sha256":"7bf2e92d4a870ad078489d72fac5a44b211dfbab677420fca44a47f6bc5954b8"},"schema_version":"1.0","source":{"id":"1105.2295","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2295","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2295v2","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2295","created_at":"2026-05-18T03:19:11Z"},{"alias_kind":"pith_short_12","alias_value":"F2QVL7P2JT7E","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"F2QVL7P2JT7EWLID","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"F2QVL7P2","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:e3399f2ec31b7ca7b2de6fdf8f3c3d0e693b4c631b59ed3c4b8f6d191a3541f0","target":"graph","created_at":"2026-05-18T03:19:11Z","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"},"paper":{"abstract_excerpt":"We present results from strong-lens modelling of 10,000 SDSS clusters, to establish the universal distribution of Einstein radii. Detailed lensing analyses have shown that the inner mass distribution of clusters can be accurately modelled by assuming light traces mass, successfully uncovering large numbers of multiple-images. Approximate critical curves and the effective Einstein radius of each cluster can therefore be readily calculated, from the distribution of member galaxies and scaled by their luminosities. We use a subsample of 10 well-studied clusters covered by both SDSS and HST to cal","authors_text":"Adi Zitrin, Jiangang Hao, Keiichi Umetsu, Masamune Oguri, Matthias Bartelmann, Narciso Ben\\'itez, Tom Broadhurst, Yoel Rephaeli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-05-11T20:00:02Z","title":"The Universal Einstein Radius Distribution from 10,000 SDSS Clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2295","kind":"arxiv","version":2},"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":"sha256:598c517d6837988d99c1d4aa221c8f2134dbe3a1dfb875e8ecc9e82a7f8d1f18","target":"record","created_at":"2026-05-18T03:19:11Z","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":"694735cc8e09f0de4640071911714b51b748c55c3aa7b9c9c459d8564d6c9259","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-05-11T20:00:02Z","title_canon_sha256":"7bf2e92d4a870ad078489d72fac5a44b211dfbab677420fca44a47f6bc5954b8"},"schema_version":"1.0","source":{"id":"1105.2295","kind":"arxiv","version":2}},"canonical_sha256":"2ea155fdfa4cfe4b2d030ac9c624ffffc9a9edbc2708246789b36e416ad82041","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ea155fdfa4cfe4b2d030ac9c624ffffc9a9edbc2708246789b36e416ad82041","first_computed_at":"2026-05-18T03:19:11.892635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:11.892635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7sTEjZ9vKjOf5J497gEKPKEn7DcoDdUTKa6EMJiAsU2PSPS4Vu9bSUmybBjfS8AxMzZBQ4pGOrEWnaHb+ZPKCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:11.893420Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2295","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:598c517d6837988d99c1d4aa221c8f2134dbe3a1dfb875e8ecc9e82a7f8d1f18","sha256:e3399f2ec31b7ca7b2de6fdf8f3c3d0e693b4c631b59ed3c4b8f6d191a3541f0"],"state_sha256":"ec5a141de290d5c3688e0be0552db28f3e5fa21764350d4b3f24bed56cbe94ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6zUJZDIbT1NSefESkAbiVfwv8zpLKlRuW+O9GEbsGwWFBcTHkzAAdAx513+f0HhLytWiSg0SHyCVtnUTSe8XCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:00:23.616786Z","bundle_sha256":"cef671775e5dfbb518e6af8277d317d2ae4beafbb3b5d1fb9690341fb555a877"}}