{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LKRZF523X7SJM63LOOXSON33LG","short_pith_number":"pith:LKRZF523","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"},"canonical_sha256":"5aa392f75bbfe4967b6b73af27377b5982fff472fcf69126f097982f8c6081ad","source":{"kind":"arxiv","id":"1606.01069","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.01069","created_at":"2026-05-18T00:52:31Z"},{"alias_kind":"arxiv_version","alias_value":"1606.01069v3","created_at":"2026-05-18T00:52:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01069","created_at":"2026-05-18T00:52:31Z"},{"alias_kind":"pith_short_12","alias_value":"LKRZF523X7SJ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LKRZF523X7SJM63L","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LKRZF523","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LKRZF523X7SJM63LOOXSON33LG","target":"record","payload":{"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"},"canonical_sha256":"5aa392f75bbfe4967b6b73af27377b5982fff472fcf69126f097982f8c6081ad","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"},"source_kind":"arxiv","source_id":"1606.01069","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yxd920tbHgCQF0wEqBppIuiaWk2WDVgHkwqo6p6nBuaUQOVWSnMSRH7nFD7NTzgbdo+ep1Z4BKonYpOn+gkUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:30:11.667009Z"},"content_sha256":"d49ac1622a19b2d3b28dd37b1411b735c02ede1dd8ac64339bd4af51f3151e85","schema_version":"1.0","event_id":"sha256:d49ac1622a19b2d3b28dd37b1411b735c02ede1dd8ac64339bd4af51f3151e85"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LKRZF523X7SJM63LOOXSON33LG","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LS0FUmsX/JMSc6TGSl1T+aoOPyDPSDgU1L2tPJduKcfL0cQZR2urNCx6+3nfqNXzs9aAjnwcJJXM0WVpkRk7Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:30:11.667376Z"},"content_sha256":"a83773a925c4f69de3e024ca5188a1421c3280ea15c156c7167d96c21bb9c36c","schema_version":"1.0","event_id":"sha256:a83773a925c4f69de3e024ca5188a1421c3280ea15c156c7167d96c21bb9c36c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG/bundle.json","state_url":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LKRZF523X7SJM63LOOXSON33LG/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":"2026-05-28T10:30:11Z","links":{"resolver":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG","bundle":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG/bundle.json","state":"https://pith.science/pith/LKRZF523X7SJM63LOOXSON33LG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LKRZF523X7SJM63LOOXSON33LG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LKRZF523X7SJM63LOOXSON33LG","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":"2c92cc1497ef1841021b24fe225b81a61981c0a5d7ff75ff8db2c12428d863d4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DG","submitted_at":"2016-06-03T12:49:27Z","title_canon_sha256":"773e36ea8f5be146bd7a05a2efa7803a3361c5ca76185328f15d661630ceebd7"},"schema_version":"1.0","source":{"id":"1606.01069","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.01069","created_at":"2026-05-18T00:52:31Z"},{"alias_kind":"arxiv_version","alias_value":"1606.01069v3","created_at":"2026-05-18T00:52:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.01069","created_at":"2026-05-18T00:52:31Z"},{"alias_kind":"pith_short_12","alias_value":"LKRZF523X7SJ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LKRZF523X7SJM63L","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LKRZF523","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:a83773a925c4f69de3e024ca5188a1421c3280ea15c156c7167d96c21bb9c36c","target":"graph","created_at":"2026-05-18T00:52:31Z","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":"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","authors_text":"Katja Sagerschnig, Travis Willse","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DG","submitted_at":"2016-06-03T12:49:27Z","title":"The Geometry of Almost Einstein (2,3,5) Distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.01069","kind":"arxiv","version":3},"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:d49ac1622a19b2d3b28dd37b1411b735c02ede1dd8ac64339bd4af51f3151e85","target":"record","created_at":"2026-05-18T00:52:31Z","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":"2c92cc1497ef1841021b24fe225b81a61981c0a5d7ff75ff8db2c12428d863d4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DG","submitted_at":"2016-06-03T12:49:27Z","title_canon_sha256":"773e36ea8f5be146bd7a05a2efa7803a3361c5ca76185328f15d661630ceebd7"},"schema_version":"1.0","source":{"id":"1606.01069","kind":"arxiv","version":3}},"canonical_sha256":"5aa392f75bbfe4967b6b73af27377b5982fff472fcf69126f097982f8c6081ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5aa392f75bbfe4967b6b73af27377b5982fff472fcf69126f097982f8c6081ad","first_computed_at":"2026-05-18T00:52:31.022265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:31.022265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v0AeePnQHlKoqgPMdytFYLxNAtoTxbd6Q+PZHkdA9IY1zwwTNTgw3jtlEPKQY2poQJ91VCQek9bytGGAtxL2AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:31.022696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.01069","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d49ac1622a19b2d3b28dd37b1411b735c02ede1dd8ac64339bd4af51f3151e85","sha256:a83773a925c4f69de3e024ca5188a1421c3280ea15c156c7167d96c21bb9c36c"],"state_sha256":"eaa52ae6c11849ed25449fead392296f60c2307fefae4a4fbf7b7cd13e550c11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2EzGU1sJL5YwtMQRHDEhne3jwWujLtQHeAXp3BDgAyAg0aKIpDEY3k2xltL7Z+PitgoZBut3G+fcvolRmYnKDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:30:11.669422Z","bundle_sha256":"0244614e3e20fa07080a5f0e9e804514c6cf44d6bde1b1f533060db984d2f73f"}}