{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:67PTLBEVX2OITVZKQVYPHDCI4Q","short_pith_number":"pith:67PTLBEV","canonical_record":{"source":{"id":"1011.6373","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-11-29T21:00:04Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"92377542be12bd037db804a759fbc25cb15008c05d22da9bdf82322cbcd4d8a8","abstract_canon_sha256":"65fa44fbaf973fa899127710ef164e7907e1a4215ce51d8d83ffe0765b08df05"},"schema_version":"1.0"},"canonical_sha256":"f7df358495be9c89d72a8570f38c48e40418f72d6d93de4bad5032d738f59b27","source":{"kind":"arxiv","id":"1011.6373","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.6373","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"1011.6373v2","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.6373","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"67PTLBEVX2OI","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"67PTLBEVX2OITVZK","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"67PTLBEV","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:67PTLBEVX2OITVZKQVYPHDCI4Q","target":"record","payload":{"canonical_record":{"source":{"id":"1011.6373","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-11-29T21:00:04Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"92377542be12bd037db804a759fbc25cb15008c05d22da9bdf82322cbcd4d8a8","abstract_canon_sha256":"65fa44fbaf973fa899127710ef164e7907e1a4215ce51d8d83ffe0765b08df05"},"schema_version":"1.0"},"canonical_sha256":"f7df358495be9c89d72a8570f38c48e40418f72d6d93de4bad5032d738f59b27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:37.648939Z","signature_b64":"n3mnb8h62mn3f62V3aCl50lYqxBj1tyNm82QaAD5vC6cSQnBljf9lCn2Uu38aWuLY3/s3G1y91ukJg/fjMJGCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7df358495be9c89d72a8570f38c48e40418f72d6d93de4bad5032d738f59b27","last_reissued_at":"2026-05-18T02:04:37.648220Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:37.648220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.6373","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":"2026-05-18T02:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5O7wRZrTMiSXDoY9I0G+fBMCeG6rxQly7xnyhCjn2Pv53dydmqCVn47BnZStB17ADR6Meb2vN2FzjJ1tIOytDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:39:50.365569Z"},"content_sha256":"0a77fc2909190091a16597614efc8a92379ce0c7d5c48d6601184d79b3df7159","schema_version":"1.0","event_id":"sha256:0a77fc2909190091a16597614efc8a92379ce0c7d5c48d6601184d79b3df7159"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:67PTLBEVX2OITVZKQVYPHDCI4Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistics of Satellite Galaxies Around Milky Way-Like Hosts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"astro-ph.CO","authors_text":"2), (2) ITP/University of Zurich, 3), (3) SLAC National Accelerator Laboratory, (4) New Mexico State University, (5) UCSC), Anatoly A. Klypin (4), Brian F. Gerke (1, Joel R. Primack (5) ((1) KIPAC/Stanford University, Michael T. Busha (1, Peter S. Behroozi (1, Risa H. Wechsler (1","submitted_at":"2010-11-29T21:00:04Z","abstract_excerpt":"We calculate the probability that a Milky-Way-like halo in the standard cosmological model has the observed number of Magellanic Clouds (MCs). The statistics of the number of MCs in the LCDM model are in good agreement with observations of a large sample of SDSS galaxies. Under the sub-halo abundance matching assumption of a relationship with small scatter between galaxy r-band luminosities and halo internal velocities v_max, we make detailed comparisons to similar measurements using SDSS DR7 data by Liu et al. (2010). Models and observational data give very similar probabilities for having ze"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.6373","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":"2026-05-18T02:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7gmtjHPsm/KDS2c79KeEwWP/UvtC1LjcfBvYG319a1SOmPs1CQBqPt6Q8cDejKT+IJYgWaBiDtlYH0yeb9N9Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:39:50.365916Z"},"content_sha256":"b4d2aaa15f0310ae70f777e130c882b183a7b8a472c19af5fc3d8597bf8fe25c","schema_version":"1.0","event_id":"sha256:b4d2aaa15f0310ae70f777e130c882b183a7b8a472c19af5fc3d8597bf8fe25c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/67PTLBEVX2OITVZKQVYPHDCI4Q/bundle.json","state_url":"https://pith.science/pith/67PTLBEVX2OITVZKQVYPHDCI4Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/67PTLBEVX2OITVZKQVYPHDCI4Q/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":"2026-06-04T15:39:50Z","links":{"resolver":"https://pith.science/pith/67PTLBEVX2OITVZKQVYPHDCI4Q","bundle":"https://pith.science/pith/67PTLBEVX2OITVZKQVYPHDCI4Q/bundle.json","state":"https://pith.science/pith/67PTLBEVX2OITVZKQVYPHDCI4Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/67PTLBEVX2OITVZKQVYPHDCI4Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:67PTLBEVX2OITVZKQVYPHDCI4Q","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":"65fa44fbaf973fa899127710ef164e7907e1a4215ce51d8d83ffe0765b08df05","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-11-29T21:00:04Z","title_canon_sha256":"92377542be12bd037db804a759fbc25cb15008c05d22da9bdf82322cbcd4d8a8"},"schema_version":"1.0","source":{"id":"1011.6373","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.6373","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"1011.6373v2","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.6373","created_at":"2026-05-18T02:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"67PTLBEVX2OI","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"67PTLBEVX2OITVZK","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"67PTLBEV","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:b4d2aaa15f0310ae70f777e130c882b183a7b8a472c19af5fc3d8597bf8fe25c","target":"graph","created_at":"2026-05-18T02:04:37Z","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 calculate the probability that a Milky-Way-like halo in the standard cosmological model has the observed number of Magellanic Clouds (MCs). The statistics of the number of MCs in the LCDM model are in good agreement with observations of a large sample of SDSS galaxies. Under the sub-halo abundance matching assumption of a relationship with small scatter between galaxy r-band luminosities and halo internal velocities v_max, we make detailed comparisons to similar measurements using SDSS DR7 data by Liu et al. (2010). Models and observational data give very similar probabilities for having ze","authors_text":"2), (2) ITP/University of Zurich, 3), (3) SLAC National Accelerator Laboratory, (4) New Mexico State University, (5) UCSC), Anatoly A. Klypin (4), Brian F. Gerke (1, Joel R. Primack (5) ((1) KIPAC/Stanford University, Michael T. Busha (1, Peter S. Behroozi (1, Risa H. Wechsler (1","cross_cats":["astro-ph.GA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-11-29T21:00:04Z","title":"Statistics of Satellite Galaxies Around Milky Way-Like Hosts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.6373","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":"sha256:0a77fc2909190091a16597614efc8a92379ce0c7d5c48d6601184d79b3df7159","target":"record","created_at":"2026-05-18T02:04:37Z","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":"65fa44fbaf973fa899127710ef164e7907e1a4215ce51d8d83ffe0765b08df05","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-11-29T21:00:04Z","title_canon_sha256":"92377542be12bd037db804a759fbc25cb15008c05d22da9bdf82322cbcd4d8a8"},"schema_version":"1.0","source":{"id":"1011.6373","kind":"arxiv","version":2}},"canonical_sha256":"f7df358495be9c89d72a8570f38c48e40418f72d6d93de4bad5032d738f59b27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7df358495be9c89d72a8570f38c48e40418f72d6d93de4bad5032d738f59b27","first_computed_at":"2026-05-18T02:04:37.648220Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:37.648220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n3mnb8h62mn3f62V3aCl50lYqxBj1tyNm82QaAD5vC6cSQnBljf9lCn2Uu38aWuLY3/s3G1y91ukJg/fjMJGCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:37.648939Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.6373","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a77fc2909190091a16597614efc8a92379ce0c7d5c48d6601184d79b3df7159","sha256:b4d2aaa15f0310ae70f777e130c882b183a7b8a472c19af5fc3d8597bf8fe25c"],"state_sha256":"21f836b1cbc51db8f7a04249b4f844eeea82f3a5aa390a3ccc3c8cff0d567996"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5FG4U9HnSmbW+f7aNVeMCUMywbB2r+sHHaqXZrCfsnIeZhtU7/qO4/KqgSdTDEbDt75r0O70LlPkk2ugefYKCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T15:39:50.367914Z","bundle_sha256":"cc5d19820e5c39d404265b648a65d126d1d03d7899f0ee56f8e31109f8422775"}}