{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:D6YM2G6F53TDZKHIA2ZJBVMFMH","short_pith_number":"pith:D6YM2G6F","canonical_record":{"source":{"id":"1011.2255","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-11-10T01:46:24Z","cross_cats_sorted":[],"title_canon_sha256":"85e118da236cc14c089954edfea8227bae16bc149d32036cfb580b1845f5216a","abstract_canon_sha256":"2bb31bcaf9a4497837b4d3b287483eb1942f5689089542633ed8da1cc11535f4"},"schema_version":"1.0"},"canonical_sha256":"1fb0cd1bc5eee63ca8e806b290d58561def494d1b316874120c9f20e5e7ccf71","source":{"kind":"arxiv","id":"1011.2255","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2255","created_at":"2026-05-18T02:04:49Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2255v4","created_at":"2026-05-18T02:04:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2255","created_at":"2026-05-18T02:04:49Z"},{"alias_kind":"pith_short_12","alias_value":"D6YM2G6F53TD","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"D6YM2G6F53TDZKHI","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"D6YM2G6F","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:D6YM2G6F53TDZKHIA2ZJBVMFMH","target":"record","payload":{"canonical_record":{"source":{"id":"1011.2255","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-11-10T01:46:24Z","cross_cats_sorted":[],"title_canon_sha256":"85e118da236cc14c089954edfea8227bae16bc149d32036cfb580b1845f5216a","abstract_canon_sha256":"2bb31bcaf9a4497837b4d3b287483eb1942f5689089542633ed8da1cc11535f4"},"schema_version":"1.0"},"canonical_sha256":"1fb0cd1bc5eee63ca8e806b290d58561def494d1b316874120c9f20e5e7ccf71","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:49.495774Z","signature_b64":"lOr/Hi36wpBTSqMTjLMzINQF+AVe+/kfktgAsMfv0MTUALXA1UYsk/7Gi1lAKVefcqMp39iF9UNbjEzZv777CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fb0cd1bc5eee63ca8e806b290d58561def494d1b316874120c9f20e5e7ccf71","last_reissued_at":"2026-05-18T02:04:49.495299Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:49.495299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.2255","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:04:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uv7NdVQUMHRyAKD7TA1ZxxGf97YAACJqjJidfMMvGNqKPpKNhGljoALfEAz3F3RTb3eHPfLEVkf6aecfYJIRDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T05:04:20.073195Z"},"content_sha256":"c3bb35a785d02f00410ffc46ff105321eead1f1f11130b099d84d6573f916b58","schema_version":"1.0","event_id":"sha256:c3bb35a785d02f00410ffc46ff105321eead1f1f11130b099d84d6573f916b58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:D6YM2G6F53TDZKHIA2ZJBVMFMH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"How Common are the Magellanic Clouds?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Brian F. Gerke, Lulu Liu, Michael T. Busha, Peter S. Behroozi, Risa H. Wechsler","submitted_at":"2010-11-10T01:46:24Z","abstract_excerpt":"We introduce a probabilistic approach to the problem of counting dwarf satellites around host galaxies in databases with limited redshift information. This technique is used to investigate the occurrence of satellites with luminosities similar to the Magellanic Clouds around hosts with properties similar to the Milky Way in the object catalog of the Sloan Digital Sky Survey. Our analysis uses data from SDSS Data Release 7, selecting candidate Milky-Way-like hosts from the spectroscopic catalog and candidate analogs of the Magellanic Clouds from the photometric catalog. Our principal result is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2255","kind":"arxiv","version":4},"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":"2026-05-18T02:04:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qwMubcmJUVfzHRAqVFNnNDmYAeo6doKwJVszFb4M3NVHCfrajOHaeyBXbNbC08lrSgl+MEoVgMv6foU8vA/0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T05:04:20.073559Z"},"content_sha256":"4b4cd830a19365d0f3fc4244aa02dbba5a6f58d4613aa1dcdaeee71d3df80282","schema_version":"1.0","event_id":"sha256:4b4cd830a19365d0f3fc4244aa02dbba5a6f58d4613aa1dcdaeee71d3df80282"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D6YM2G6F53TDZKHIA2ZJBVMFMH/bundle.json","state_url":"https://pith.science/pith/D6YM2G6F53TDZKHIA2ZJBVMFMH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D6YM2G6F53TDZKHIA2ZJBVMFMH/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":"2026-07-22T05:04:20Z","links":{"resolver":"https://pith.science/pith/D6YM2G6F53TDZKHIA2ZJBVMFMH","bundle":"https://pith.science/pith/D6YM2G6F53TDZKHIA2ZJBVMFMH/bundle.json","state":"https://pith.science/pith/D6YM2G6F53TDZKHIA2ZJBVMFMH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D6YM2G6F53TDZKHIA2ZJBVMFMH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:D6YM2G6F53TDZKHIA2ZJBVMFMH","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":"2bb31bcaf9a4497837b4d3b287483eb1942f5689089542633ed8da1cc11535f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-11-10T01:46:24Z","title_canon_sha256":"85e118da236cc14c089954edfea8227bae16bc149d32036cfb580b1845f5216a"},"schema_version":"1.0","source":{"id":"1011.2255","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2255","created_at":"2026-05-18T02:04:49Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2255v4","created_at":"2026-05-18T02:04:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2255","created_at":"2026-05-18T02:04:49Z"},{"alias_kind":"pith_short_12","alias_value":"D6YM2G6F53TD","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"D6YM2G6F53TDZKHI","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"D6YM2G6F","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:4b4cd830a19365d0f3fc4244aa02dbba5a6f58d4613aa1dcdaeee71d3df80282","target":"graph","created_at":"2026-05-18T02:04:49Z","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 introduce a probabilistic approach to the problem of counting dwarf satellites around host galaxies in databases with limited redshift information. This technique is used to investigate the occurrence of satellites with luminosities similar to the Magellanic Clouds around hosts with properties similar to the Milky Way in the object catalog of the Sloan Digital Sky Survey. Our analysis uses data from SDSS Data Release 7, selecting candidate Milky-Way-like hosts from the spectroscopic catalog and candidate analogs of the Magellanic Clouds from the photometric catalog. Our principal result is ","authors_text":"Brian F. Gerke, Lulu Liu, Michael T. Busha, Peter S. Behroozi, Risa H. Wechsler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-11-10T01:46:24Z","title":"How Common are the Magellanic Clouds?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2255","kind":"arxiv","version":4},"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:c3bb35a785d02f00410ffc46ff105321eead1f1f11130b099d84d6573f916b58","target":"record","created_at":"2026-05-18T02:04:49Z","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":"2bb31bcaf9a4497837b4d3b287483eb1942f5689089542633ed8da1cc11535f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-11-10T01:46:24Z","title_canon_sha256":"85e118da236cc14c089954edfea8227bae16bc149d32036cfb580b1845f5216a"},"schema_version":"1.0","source":{"id":"1011.2255","kind":"arxiv","version":4}},"canonical_sha256":"1fb0cd1bc5eee63ca8e806b290d58561def494d1b316874120c9f20e5e7ccf71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1fb0cd1bc5eee63ca8e806b290d58561def494d1b316874120c9f20e5e7ccf71","first_computed_at":"2026-05-18T02:04:49.495299Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:49.495299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lOr/Hi36wpBTSqMTjLMzINQF+AVe+/kfktgAsMfv0MTUALXA1UYsk/7Gi1lAKVefcqMp39iF9UNbjEzZv777CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:49.495774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.2255","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3bb35a785d02f00410ffc46ff105321eead1f1f11130b099d84d6573f916b58","sha256:4b4cd830a19365d0f3fc4244aa02dbba5a6f58d4613aa1dcdaeee71d3df80282"],"state_sha256":"b999d5d2e104ea08958dd4748790d005d0da13d84f30c2bd246d81c378ddb648"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"II1PD8/QisTyyUNe81F8LZQ7dXc3tG+wwXRQG+NJF/mbrRhVqNQTSRDk90ZEBcldUsMTgv8VgdXeFpiLG8gcAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-22T05:04:20.075812Z","bundle_sha256":"aa5ff51e70befc042f022576642703f5793dff95e68f622df479c7c08e5f523b"}}