{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PBUIWC44PYODBR2U24ZO3I2HBM","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":"21a99d8ca44cc97e22eec0a9e1df9b9d60e832feba900ce6134aeac3e4503dc9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2017-05-23T03:34:26Z","title_canon_sha256":"c080fe85c6678d384f9a9fc4b842a9ce47aa11cbfe84064705ed825c82b2c430"},"schema_version":"1.0","source":{"id":"1705.08068","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08068","created_at":"2026-05-18T00:40:28Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08068v1","created_at":"2026-05-18T00:40:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08068","created_at":"2026-05-18T00:40:28Z"},{"alias_kind":"pith_short_12","alias_value":"PBUIWC44PYOD","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PBUIWC44PYODBR2U","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PBUIWC44","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:c5085fb9290934cd21b71419287ed794d2588ea1c732e6ea5915e10b197af7fa","target":"graph","created_at":"2026-05-18T00:40:28Z","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":"A study of the group properties of galaxies in our immediate neighborhood provides a singular opportunity to observationally constrain the halo mass function, a fundamental characterization of galaxy formation. Detailed studies of individual groups have provided the coefficients of scaling relations between a proxy for the virial radius, velocity dispersion, and mass that usefully allows groups to be defined over the range $10^{10} - 10^{15}$ $M_\\odot$. At a second hierarchical level, associations are defined as regions around collapsed halos extending to the zero velocity surface at the decou","authors_text":"Ehsan Kourkchi, R. Brent Tully","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2017-05-23T03:34:26Z","title":"Galaxy Groups within 3500 km s$^{-1}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08068","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:c906b13a99fda6f150c1ccc2cc54b370cde8b67bb4d5a4680042eed08029b1d1","target":"record","created_at":"2026-05-18T00:40:28Z","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":"21a99d8ca44cc97e22eec0a9e1df9b9d60e832feba900ce6134aeac3e4503dc9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2017-05-23T03:34:26Z","title_canon_sha256":"c080fe85c6678d384f9a9fc4b842a9ce47aa11cbfe84064705ed825c82b2c430"},"schema_version":"1.0","source":{"id":"1705.08068","kind":"arxiv","version":1}},"canonical_sha256":"78688b0b9c7e1c30c754d732eda3470b3a3ecf1ed2cc228a8c6779c548cfc3cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78688b0b9c7e1c30c754d732eda3470b3a3ecf1ed2cc228a8c6779c548cfc3cd","first_computed_at":"2026-05-18T00:40:28.356274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:28.356274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z/tJ+DaUNBPEoGZlKb8Mf1egqQA2jL87ZpsYXlPsHHdZBcy564FYauJBSpGiOgBXBNPhoBPiVGVQx85fa9etCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:28.356894Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.08068","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c906b13a99fda6f150c1ccc2cc54b370cde8b67bb4d5a4680042eed08029b1d1","sha256:c5085fb9290934cd21b71419287ed794d2588ea1c732e6ea5915e10b197af7fa"],"state_sha256":"0c14c88ca03b7ab4a3d11f7a42d21bc62af9c4be936f1081660dec02f72c8473"}