{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TIINQC33CT2PDH4UTCWFCBUGHQ","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":"d308c71ace2379d2102af878790ac2f264aa03c20a0743f1ca923dfb0c56d415","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-08-26T07:35:42Z","title_canon_sha256":"3970a991155fa8662c55164d1948efd6a838a00311068624fd7496a95bb275aa"},"schema_version":"1.0","source":{"id":"2508.18759","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.18759","created_at":"2026-07-05T11:59:30Z"},{"alias_kind":"arxiv_version","alias_value":"2508.18759v1","created_at":"2026-07-05T11:59:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.18759","created_at":"2026-07-05T11:59:30Z"},{"alias_kind":"pith_short_12","alias_value":"TIINQC33CT2P","created_at":"2026-07-05T11:59:30Z"},{"alias_kind":"pith_short_16","alias_value":"TIINQC33CT2PDH4U","created_at":"2026-07-05T11:59:30Z"},{"alias_kind":"pith_short_8","alias_value":"TIINQC33","created_at":"2026-07-05T11:59:30Z"}],"graph_snapshots":[{"event_id":"sha256:3bcf17c4005833054e6b8103cb0f0526cae2f9665e25fa166d75a04b4271e6a5","target":"graph","created_at":"2026-07-05T11:59:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2508.18759/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the 1970s Thurston introduced a technique known as ``jiggling'' which brings any triangulation into general position (a stronger version of transversality) by subdividing and perturbing. This result is now known as Thurston's jiggling lemma. In this paper we provide an alternative, more conceptual proof of the lemma. In particular we also prove the generalization to manifolds, whose proof had previously only been sketched.","authors_text":"Anna Fokma","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-08-26T07:35:42Z","title":"Thurston's jiggling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.18759","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":"sha256:77521abe23afd57742117d7b9fcfa4f28a7f894d843cac9c3c6e76855d79a3ba","target":"record","created_at":"2026-07-05T11:59:30Z","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":"d308c71ace2379d2102af878790ac2f264aa03c20a0743f1ca923dfb0c56d415","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-08-26T07:35:42Z","title_canon_sha256":"3970a991155fa8662c55164d1948efd6a838a00311068624fd7496a95bb275aa"},"schema_version":"1.0","source":{"id":"2508.18759","kind":"arxiv","version":1}},"canonical_sha256":"9a10d80b7b14f4f19f9498ac5106863c391f569944f20578ac22c2569fd1b9fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a10d80b7b14f4f19f9498ac5106863c391f569944f20578ac22c2569fd1b9fc","first_computed_at":"2026-07-05T11:59:30.330346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:30.330346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hTsdhI3YqaYFl7O5UaUxV7FhFzK/pvy/g1izO07gAy5wcd//tvax6yt43KKEQwugVFufGO52M/Gi6S0hWOM0CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:30.330883Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.18759","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77521abe23afd57742117d7b9fcfa4f28a7f894d843cac9c3c6e76855d79a3ba","sha256:3bcf17c4005833054e6b8103cb0f0526cae2f9665e25fa166d75a04b4271e6a5"],"state_sha256":"8b3b1f7d04d1d1d0d4a6d7cada2ed9b8df2ebdd588da420a892618cda8483e08"}