{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:LKRZF523X7SJM63LOOXSON33LG","short_pith_number":"pith:LKRZF523","schema_version":"1.0","canonical_sha256":"5aa392f75bbfe4967b6b73af27377b5982fff472fcf69126f097982f8c6081ad","source":{"kind":"arxiv","id":"1606.01069","version":3},"attestation_state":"computed","paper":{"title":"The Geometry of Almost Einstein (2,3,5) Distributions","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Katja Sagerschnig, Travis Willse","submitted_at":"2016-06-03T12:49:27Z","abstract_excerpt":"We analyze the classic problem of existence of Einstein metrics in a given conformal structure for the class of conformal structures inducedf Nurowski's construction by (oriented) (2,3,5) distributions. We characterize in two ways such conformal structures that admit an almost Einstein scale: First, they are precisely the oriented conformal structures $\\mathbf{c}$ that are induced by at least two distinct oriented (2,3,5) distributions; in this case there is a 1-parameter family of such distributions that induce $\\mathbf{c}$. Second, they are characterized by the existence of a holonomy reduct"},"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":"1606.01069","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DG","submitted_at":"2016-06-03T12:49:27Z","cross_cats_sorted":[],"title_canon_sha256":"773e36ea8f5be146bd7a05a2efa7803a3361c5ca76185328f15d661630ceebd7","abstract_canon_sha256":"2c92cc1497ef1841021b24fe225b81a61981c0a5d7ff75ff8db2c12428d863d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:31.022696Z","signature_b64":"v0AeePnQHlKoqgPMdytFYLxNAtoTxbd6Q+PZHkdA9IY1zwwTNTgw3jtlEPKQY2poQJ91VCQek9bytGGAtxL2AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5aa392f75bbfe4967b6b73af27377b5982fff472fcf69126f097982f8c6081ad","last_reissued_at":"2026-05-18T00:52:31.022265Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:31.022265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Geometry of Almost Einstein (2,3,5) Distributions","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Katja Sagerschnig, Travis Willse","submitted_at":"2016-06-03T12:49:27Z","abstract_excerpt":"We analyze the classic problem of existence of Einstein metrics in a given conformal structure for the class of conformal structures inducedf Nurowski's construction by (oriented) (2,3,5) distributions. We characterize in two ways such conformal structures that admit an almost Einstein scale: First, they are precisely the oriented conformal structures $\\mathbf{c}$ that are induced by at least two distinct oriented (2,3,5) distributions; in this case there is a 1-parameter family of such distributions that induce $\\mathbf{c}$. Second, they are characterized by the existence of a holonomy reduct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.01069","kind":"arxiv","version":3},"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":"1606.01069","created_at":"2026-05-18T00:52:31.022355+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.01069v3","created_at":"2026-05-18T00:52:31.022355+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01069","created_at":"2026-05-18T00:52:31.022355+00:00"},{"alias_kind":"pith_short_12","alias_value":"LKRZF523X7SJ","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_16","alias_value":"LKRZF523X7SJM63L","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_8","alias_value":"LKRZF523","created_at":"2026-05-18T12:30:29.479603+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/LKRZF523X7SJM63LOOXSON33LG","json":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG.json","graph_json":"https://pith.science/api/pith-number/LKRZF523X7SJM63LOOXSON33LG/graph.json","events_json":"https://pith.science/api/pith-number/LKRZF523X7SJM63LOOXSON33LG/events.json","paper":"https://pith.science/paper/LKRZF523"},"agent_actions":{"view_html":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG","download_json":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG.json","view_paper":"https://pith.science/paper/LKRZF523","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.01069&json=true","fetch_graph":"https://pith.science/api/pith-number/LKRZF523X7SJM63LOOXSON33LG/graph.json","fetch_events":"https://pith.science/api/pith-number/LKRZF523X7SJM63LOOXSON33LG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG/action/storage_attestation","attest_author":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG/action/author_attestation","sign_citation":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG/action/citation_signature","submit_replication":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG/action/replication_record"}},"created_at":"2026-05-18T00:52:31.022355+00:00","updated_at":"2026-05-18T00:52:31.022355+00:00"}