{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2XZLAJ6VAEW6ZDUQVJFSLRAO76","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":"4ac6d3777626f4604a349fcd57da5c84cd77a88f5c74e05d4d07c62595481c73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-05-27T11:04:14Z","title_canon_sha256":"ae51b12434d1424426444971febaa5c4c10f5fdfd75d9afcbf8ae060e65025b0"},"schema_version":"1.0","source":{"id":"1605.08580","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.08580","created_at":"2026-05-18T00:31:31Z"},{"alias_kind":"arxiv_version","alias_value":"1605.08580v4","created_at":"2026-05-18T00:31:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.08580","created_at":"2026-05-18T00:31:31Z"},{"alias_kind":"pith_short_12","alias_value":"2XZLAJ6VAEW6","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2XZLAJ6VAEW6ZDUQ","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2XZLAJ6V","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:3b17c51502eef976e3e7ffc597113689f5a12e6d6f3a3f8b3c181b0fe60286c8","target":"graph","created_at":"2026-05-18T00:31:31Z","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":"It is shown that a locally compact groupoid with open range map does not always admit a Haar system. It then is shown how to construct a Haar system if the stability groupoid and the quotient by the stability groupoid both admit one.","authors_text":"Anton Deitmar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-05-27T11:04:14Z","title":"On Haar systems for groupoids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08580","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:f92f1caed9f13ce5d9b8d9ee6dee0d976056f767f7e58b67b9e351fe0cfaf42d","target":"record","created_at":"2026-05-18T00:31:31Z","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":"4ac6d3777626f4604a349fcd57da5c84cd77a88f5c74e05d4d07c62595481c73","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-05-27T11:04:14Z","title_canon_sha256":"ae51b12434d1424426444971febaa5c4c10f5fdfd75d9afcbf8ae060e65025b0"},"schema_version":"1.0","source":{"id":"1605.08580","kind":"arxiv","version":4}},"canonical_sha256":"d5f2b027d5012dec8e90aa4b25c40effa70cc3eb277c225f339a7aad619fff11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5f2b027d5012dec8e90aa4b25c40effa70cc3eb277c225f339a7aad619fff11","first_computed_at":"2026-05-18T00:31:31.656903Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:31.656903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZWs/uKSx9jxOcf+jbjIzrvRAV+bNOh67yF+ITgzTzWTzgQYNvQeFQVDnGWcsdfk562hN65h6eKKI88g3qPvyCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:31.657629Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.08580","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f92f1caed9f13ce5d9b8d9ee6dee0d976056f767f7e58b67b9e351fe0cfaf42d","sha256:3b17c51502eef976e3e7ffc597113689f5a12e6d6f3a3f8b3c181b0fe60286c8"],"state_sha256":"0928297ced24f215d8b5878e08602df57132be5c49b12d07859f0e6c6a4295f6"}