{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:VFXT5LPF672HMHPF2K3VIQ7MWJ","short_pith_number":"pith:VFXT5LPF","schema_version":"1.0","canonical_sha256":"a96f3eade5f7f4761de5d2b75443ecb273b9746420859422bf4545be16f4aaf5","source":{"kind":"arxiv","id":"1809.00422","version":1},"attestation_state":"computed","paper":{"title":"A brief introduction to amenable equivalence relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.LO","authors_text":"Justin Tatch Moore","submitted_at":"2018-09-03T01:33:07Z","abstract_excerpt":"This is a short survey of amenable equivalence relations."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1809.00422","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-09-03T01:33:07Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"ea79539f79ce192061842d1e867727413ba72b1437a60f3c97cd40a33fadba27","abstract_canon_sha256":"7012066e2f51260fc6239d4499d6f5a8aae7af883e408497f03ebb892aa97c1d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:35.245043Z","signature_b64":"8tDzWujq8NRv6Ha0thaVRnL973GMc2FwMr8FC3cCR4G6fQ+ZUlIvv+P6r6l+mYvvHr0Osv3yzVLfni2q3sDhCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a96f3eade5f7f4761de5d2b75443ecb273b9746420859422bf4545be16f4aaf5","last_reissued_at":"2026-05-18T00:06:35.244240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:35.244240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A brief introduction to amenable equivalence relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.LO","authors_text":"Justin Tatch Moore","submitted_at":"2018-09-03T01:33:07Z","abstract_excerpt":"This is a short survey of amenable equivalence relations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00422","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1809.00422","created_at":"2026-05-18T00:06:35.244378+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.00422v1","created_at":"2026-05-18T00:06:35.244378+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.00422","created_at":"2026-05-18T00:06:35.244378+00:00"},{"alias_kind":"pith_short_12","alias_value":"VFXT5LPF672H","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"VFXT5LPF672HMHPF","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"VFXT5LPF","created_at":"2026-05-18T12:32:59.047623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VFXT5LPF672HMHPF2K3VIQ7MWJ","json":"https://pith.science/pith/VFXT5LPF672HMHPF2K3VIQ7MWJ.json","graph_json":"https://pith.science/api/pith-number/VFXT5LPF672HMHPF2K3VIQ7MWJ/graph.json","events_json":"https://pith.science/api/pith-number/VFXT5LPF672HMHPF2K3VIQ7MWJ/events.json","paper":"https://pith.science/paper/VFXT5LPF"},"agent_actions":{"view_html":"https://pith.science/pith/VFXT5LPF672HMHPF2K3VIQ7MWJ","download_json":"https://pith.science/pith/VFXT5LPF672HMHPF2K3VIQ7MWJ.json","view_paper":"https://pith.science/paper/VFXT5LPF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.00422&json=true","fetch_graph":"https://pith.science/api/pith-number/VFXT5LPF672HMHPF2K3VIQ7MWJ/graph.json","fetch_events":"https://pith.science/api/pith-number/VFXT5LPF672HMHPF2K3VIQ7MWJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VFXT5LPF672HMHPF2K3VIQ7MWJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VFXT5LPF672HMHPF2K3VIQ7MWJ/action/storage_attestation","attest_author":"https://pith.science/pith/VFXT5LPF672HMHPF2K3VIQ7MWJ/action/author_attestation","sign_citation":"https://pith.science/pith/VFXT5LPF672HMHPF2K3VIQ7MWJ/action/citation_signature","submit_replication":"https://pith.science/pith/VFXT5LPF672HMHPF2K3VIQ7MWJ/action/replication_record"}},"created_at":"2026-05-18T00:06:35.244378+00:00","updated_at":"2026-05-18T00:06:35.244378+00:00"}