{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:YDIRUEWNJDQWAZRROEPZ73KLY7","short_pith_number":"pith:YDIRUEWN","canonical_record":{"source":{"id":"astro-ph/0012456","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2000-12-21T09:04:39Z","cross_cats_sorted":[],"title_canon_sha256":"2ba34335e0eab52cac395c5b6c5241cce2bb0f163d1f54496fd1045f980f9756","abstract_canon_sha256":"081a59b0030e4fcaf4ccb34a2962042ded671ecce0ede6d95e174db18cceb703"},"schema_version":"1.0"},"canonical_sha256":"c0d11a12cd48e1606631711f9fed4bc7d743181079e67cdd3f709befb9781242","source":{"kind":"arxiv","id":"astro-ph/0012456","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0012456","created_at":"2026-05-18T03:47:51Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0012456v1","created_at":"2026-05-18T03:47:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0012456","created_at":"2026-05-18T03:47:51Z"},{"alias_kind":"pith_short_12","alias_value":"YDIRUEWNJDQW","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"YDIRUEWNJDQWAZRR","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"YDIRUEWN","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:YDIRUEWNJDQWAZRROEPZ73KLY7","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0012456","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2000-12-21T09:04:39Z","cross_cats_sorted":[],"title_canon_sha256":"2ba34335e0eab52cac395c5b6c5241cce2bb0f163d1f54496fd1045f980f9756","abstract_canon_sha256":"081a59b0030e4fcaf4ccb34a2962042ded671ecce0ede6d95e174db18cceb703"},"schema_version":"1.0"},"canonical_sha256":"c0d11a12cd48e1606631711f9fed4bc7d743181079e67cdd3f709befb9781242","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:47:51.769997Z","signature_b64":"vPMs8sGctELWSLIm/xSBE3k91Emzkovm0UU/AhXRo0XHC8IQmA52Lckzk2ftvlu8lsds3wWZsX+WeCQGs5iwAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0d11a12cd48e1606631711f9fed4bc7d743181079e67cdd3f709befb9781242","last_reissued_at":"2026-05-18T03:47:51.769347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:47:51.769347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0012456","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:47:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V3ygQcUFPiMfhyUoL5frs2Ku1kze4Y0UTnaNkzJLO5dvurXP8VwWt4KBR+5ps/5548pPf5e0dFCZp7ytGp74DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:05:56.750840Z"},"content_sha256":"95ab0c160e5b3eb710d5d5c5814731271f5495037ec4785b9f87ac0988b7270e","schema_version":"1.0","event_id":"sha256:95ab0c160e5b3eb710d5d5c5814731271f5495037ec4785b9f87ac0988b7270e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:YDIRUEWNJDQWAZRROEPZ73KLY7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Peculiar Motions of Early-Type Galaxies in Two Distant Regions VI: The Maximum Likelihood Gaussian Algorithm","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"David Burstein, Gary Wegner, Jr., Matthew Colless, Robert K. McMahan, Roger L. Davies, R.P. Saglia","submitted_at":"2000-12-21T09:04:39Z","abstract_excerpt":"The EFAR project is designed to measure the properties and peculiar motions of early-type galaxies in two distant regions. Here we describe the maximum likelihood algorithm we developed to investigate the correlations between the parameters of the EFAR database. One-, two-, and three-dimensional gaussian models are constructed to determine the mean value and intrinsic spread of the parameters, and the slopes and intrinsic parallel and orthogonal spread of the Mgb'-Mg2, Mg2-sigma, Mgb'-sigma relations, and the Fundamental Plane. In the latter case, the cluster peculiar velocities are also deter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0012456","kind":"arxiv","version":1},"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":"2026-05-18T03:47:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TUocXiqmg8q9OjE30IgjZggXWWDyP83UCy4g7VgaOe+1p+ScEet6qZBaBO/oUHe1Iqo99pqQraVOVILmRh0ICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:05:56.751494Z"},"content_sha256":"7da239367c3550f07fef2cc6d85675d7bc3b940a2a2e83e72b60ecc5f147453b","schema_version":"1.0","event_id":"sha256:7da239367c3550f07fef2cc6d85675d7bc3b940a2a2e83e72b60ecc5f147453b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YDIRUEWNJDQWAZRROEPZ73KLY7/bundle.json","state_url":"https://pith.science/pith/YDIRUEWNJDQWAZRROEPZ73KLY7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YDIRUEWNJDQWAZRROEPZ73KLY7/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":"2026-05-27T09:05:56Z","links":{"resolver":"https://pith.science/pith/YDIRUEWNJDQWAZRROEPZ73KLY7","bundle":"https://pith.science/pith/YDIRUEWNJDQWAZRROEPZ73KLY7/bundle.json","state":"https://pith.science/pith/YDIRUEWNJDQWAZRROEPZ73KLY7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YDIRUEWNJDQWAZRROEPZ73KLY7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:YDIRUEWNJDQWAZRROEPZ73KLY7","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":"081a59b0030e4fcaf4ccb34a2962042ded671ecce0ede6d95e174db18cceb703","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2000-12-21T09:04:39Z","title_canon_sha256":"2ba34335e0eab52cac395c5b6c5241cce2bb0f163d1f54496fd1045f980f9756"},"schema_version":"1.0","source":{"id":"astro-ph/0012456","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0012456","created_at":"2026-05-18T03:47:51Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0012456v1","created_at":"2026-05-18T03:47:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0012456","created_at":"2026-05-18T03:47:51Z"},{"alias_kind":"pith_short_12","alias_value":"YDIRUEWNJDQW","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"YDIRUEWNJDQWAZRR","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"YDIRUEWN","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:7da239367c3550f07fef2cc6d85675d7bc3b940a2a2e83e72b60ecc5f147453b","target":"graph","created_at":"2026-05-18T03:47:51Z","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 EFAR project is designed to measure the properties and peculiar motions of early-type galaxies in two distant regions. Here we describe the maximum likelihood algorithm we developed to investigate the correlations between the parameters of the EFAR database. One-, two-, and three-dimensional gaussian models are constructed to determine the mean value and intrinsic spread of the parameters, and the slopes and intrinsic parallel and orthogonal spread of the Mgb'-Mg2, Mg2-sigma, Mgb'-sigma relations, and the Fundamental Plane. In the latter case, the cluster peculiar velocities are also deter","authors_text":"David Burstein, Gary Wegner, Jr., Matthew Colless, Robert K. McMahan, Roger L. Davies, R.P. Saglia","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2000-12-21T09:04:39Z","title":"The Peculiar Motions of Early-Type Galaxies in Two Distant Regions VI: The Maximum Likelihood Gaussian Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0012456","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":"sha256:95ab0c160e5b3eb710d5d5c5814731271f5495037ec4785b9f87ac0988b7270e","target":"record","created_at":"2026-05-18T03:47:51Z","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":"081a59b0030e4fcaf4ccb34a2962042ded671ecce0ede6d95e174db18cceb703","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2000-12-21T09:04:39Z","title_canon_sha256":"2ba34335e0eab52cac395c5b6c5241cce2bb0f163d1f54496fd1045f980f9756"},"schema_version":"1.0","source":{"id":"astro-ph/0012456","kind":"arxiv","version":1}},"canonical_sha256":"c0d11a12cd48e1606631711f9fed4bc7d743181079e67cdd3f709befb9781242","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0d11a12cd48e1606631711f9fed4bc7d743181079e67cdd3f709befb9781242","first_computed_at":"2026-05-18T03:47:51.769347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:47:51.769347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vPMs8sGctELWSLIm/xSBE3k91Emzkovm0UU/AhXRo0XHC8IQmA52Lckzk2ftvlu8lsds3wWZsX+WeCQGs5iwAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:47:51.769997Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0012456","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95ab0c160e5b3eb710d5d5c5814731271f5495037ec4785b9f87ac0988b7270e","sha256:7da239367c3550f07fef2cc6d85675d7bc3b940a2a2e83e72b60ecc5f147453b"],"state_sha256":"dd82c561294b2e639977216fc992505f266a4cce37167dcf5f8fbbb37422740c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ylYMZjPdzBedDTg5pcaDe+GQEJPI1t4rBorGkIQcX8qRT2Rx0aMgJOd+9ICf/ZdSgrHy8OTonTb4sgn1wMN3AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:05:56.754941Z","bundle_sha256":"56cc2b213bd9b989b1259f72f6e375c1a787f6faee06b2ee3518e4718bf5fb16"}}