{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OUJWXOL6BRFDC6PWD4G6I37PMC","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":"1838d3dc155551aa86aa5b6aed5a8a0a225124cf4ebf3a83e51fa88ba97fba06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-25T15:31:30Z","title_canon_sha256":"f995364b380248f37522a98511722bc29be3c712127dd4dfd26aa702413a85bc"},"schema_version":"1.0","source":{"id":"1505.06662","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.06662","created_at":"2026-05-18T02:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"1505.06662v1","created_at":"2026-05-18T02:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06662","created_at":"2026-05-18T02:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"OUJWXOL6BRFD","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OUJWXOL6BRFDC6PW","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OUJWXOL6","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:3a8ecb6d00e5d1018c4a791bbd3fb1ef7f802f23d865ea60f782fd39d4b09deb","target":"graph","created_at":"2026-05-18T02:03:44Z","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":"When the vacuum Einstein equations are formulated in terms of a frame, rather than a metric, can one perturb solutions with a degenerate frame into ones with a nondegenerate frame? In examples we point out that one can encounter issues already at the level of formal perturbative expansions; namely the cohomological, so-called space of obstructions is nonzero. In this paper we propose a perturbative expansion based on filtrations. We construct and prove properties of a specific filtration, intended to make mathematical sense of one BKL-bounce, a building block of a well-known but very heuristic","authors_text":"Eugene Trubowitz, Michael Reiterer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-25T15:31:30Z","title":"Filtered expansions in general relativity and one BKL-bounce"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06662","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":"sha256:2200911f74ee5521fcadeebcc90728ca1df1caf26c15b14d68e94962331059a1","target":"record","created_at":"2026-05-18T02:03:44Z","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":"1838d3dc155551aa86aa5b6aed5a8a0a225124cf4ebf3a83e51fa88ba97fba06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-25T15:31:30Z","title_canon_sha256":"f995364b380248f37522a98511722bc29be3c712127dd4dfd26aa702413a85bc"},"schema_version":"1.0","source":{"id":"1505.06662","kind":"arxiv","version":1}},"canonical_sha256":"75136bb97e0c4a3179f61f0de46fef608e982fec8becd47861c076ed8432a6ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75136bb97e0c4a3179f61f0de46fef608e982fec8becd47861c076ed8432a6ec","first_computed_at":"2026-05-18T02:03:44.326502Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:44.326502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rJc+skBXmU2421mF9Mbf6q1anEIE0yfm34yZxf6p/8JkqbGLvRYiveW7FWFTjKLyujxRTH7y48aSHHtt+AiBCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:44.327346Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.06662","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2200911f74ee5521fcadeebcc90728ca1df1caf26c15b14d68e94962331059a1","sha256:3a8ecb6d00e5d1018c4a791bbd3fb1ef7f802f23d865ea60f782fd39d4b09deb"],"state_sha256":"4920aae5de48f1d96abc98be799ec8333f8a5546d7b68a22bc04c297eeac50c4"}