{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:WHT3ZXWTJII7DOWSH4TWTO4VNL","short_pith_number":"pith:WHT3ZXWT","canonical_record":{"source":{"id":"2501.13627","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-01-23T12:46:30Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"653bdb0914a571c2949ab8852f53ccbd5c8dae088a4d6b0b2c929f0d388fd904","abstract_canon_sha256":"ed6588db06cd6780e16a92906656babacd18625ad204384b1eefbd6c6b8c99a2"},"schema_version":"1.0"},"canonical_sha256":"b1e7bcded34a11f1bad23f2769bb956ae8689c0d5dde4e962bedb6c77b7ebdef","source":{"kind":"arxiv","id":"2501.13627","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.13627","created_at":"2026-07-05T11:52:17Z"},{"alias_kind":"arxiv_version","alias_value":"2501.13627v2","created_at":"2026-07-05T11:52:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.13627","created_at":"2026-07-05T11:52:17Z"},{"alias_kind":"pith_short_12","alias_value":"WHT3ZXWTJII7","created_at":"2026-07-05T11:52:17Z"},{"alias_kind":"pith_short_16","alias_value":"WHT3ZXWTJII7DOWS","created_at":"2026-07-05T11:52:17Z"},{"alias_kind":"pith_short_8","alias_value":"WHT3ZXWT","created_at":"2026-07-05T11:52:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:WHT3ZXWTJII7DOWSH4TWTO4VNL","target":"record","payload":{"canonical_record":{"source":{"id":"2501.13627","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-01-23T12:46:30Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"653bdb0914a571c2949ab8852f53ccbd5c8dae088a4d6b0b2c929f0d388fd904","abstract_canon_sha256":"ed6588db06cd6780e16a92906656babacd18625ad204384b1eefbd6c6b8c99a2"},"schema_version":"1.0"},"canonical_sha256":"b1e7bcded34a11f1bad23f2769bb956ae8689c0d5dde4e962bedb6c77b7ebdef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:52:17.155089Z","signature_b64":"H9E+WPWvmws1YgUNif14x9aU7ox94KA+6zcpaflptgALw+QR7CIN2lO4k09s/xeRjYX1e7t14p5cx5J9dhEKBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1e7bcded34a11f1bad23f2769bb956ae8689c0d5dde4e962bedb6c77b7ebdef","last_reissued_at":"2026-07-05T11:52:17.154660Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:52:17.154660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.13627","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:52:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y2vbZgNyhGjqksBAC66PPfcnolHw1hwCNI5b6CoSGqwDPVgqxwYfIZx56b6c639HH2TvI1ncNGiTDhmLnDnuDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:13:03.566248Z"},"content_sha256":"2ae74447a0aed10b5dbd1a1a95c44638be9223f8ccf3b79049ffedc6de2d3fd3","schema_version":"1.0","event_id":"sha256:2ae74447a0aed10b5dbd1a1a95c44638be9223f8ccf3b79049ffedc6de2d3fd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:WHT3ZXWTJII7DOWSH4TWTO4VNL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Jiggling: an h-principle without homotopical assumptions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.GT","authors_text":"\\'Alvaro del Pino, Anna Fokma, Lauran Toussaint","submitted_at":"2025-01-23T12:46:30Z","abstract_excerpt":"The jiggling lemma of Thurston shows that any triangulation can be jiggled (read: subdivided and then perturbed) to be in general position with respect to a distribution. Our main result is a generalization of Thurston's lemma. It states that piecewise smooth solutions of a given open and fiberwise dense differential relation $\\mathcal{R} \\subset J^1(E)$ of first order can be constructed by jiggling arbitrary sections of $E$. Our statement also holds in parametric and relative form. We understand this as an h-principle without homotopical assumptions for piecewise smooth solutions of $\\mathcal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.13627","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.13627/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:52:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kg7VwnYk8urqcAwJiKGfBaJI9X06PwhT9JiDFCaU4Gpk2HRuhoTHqvmZ06+84ULM8nEX4jNoMtDvGdCPvaLlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T09:13:03.566788Z"},"content_sha256":"81736a48702a5c87dd46f75c764d52b01266e576c7dd22a6cc42688cf68270c9","schema_version":"1.0","event_id":"sha256:81736a48702a5c87dd46f75c764d52b01266e576c7dd22a6cc42688cf68270c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WHT3ZXWTJII7DOWSH4TWTO4VNL/bundle.json","state_url":"https://pith.science/pith/WHT3ZXWTJII7DOWSH4TWTO4VNL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WHT3ZXWTJII7DOWSH4TWTO4VNL/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":"2026-08-12T09:13:03Z","links":{"resolver":"https://pith.science/pith/WHT3ZXWTJII7DOWSH4TWTO4VNL","bundle":"https://pith.science/pith/WHT3ZXWTJII7DOWSH4TWTO4VNL/bundle.json","state":"https://pith.science/pith/WHT3ZXWTJII7DOWSH4TWTO4VNL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WHT3ZXWTJII7DOWSH4TWTO4VNL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WHT3ZXWTJII7DOWSH4TWTO4VNL","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":"ed6588db06cd6780e16a92906656babacd18625ad204384b1eefbd6c6b8c99a2","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-01-23T12:46:30Z","title_canon_sha256":"653bdb0914a571c2949ab8852f53ccbd5c8dae088a4d6b0b2c929f0d388fd904"},"schema_version":"1.0","source":{"id":"2501.13627","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.13627","created_at":"2026-07-05T11:52:17Z"},{"alias_kind":"arxiv_version","alias_value":"2501.13627v2","created_at":"2026-07-05T11:52:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.13627","created_at":"2026-07-05T11:52:17Z"},{"alias_kind":"pith_short_12","alias_value":"WHT3ZXWTJII7","created_at":"2026-07-05T11:52:17Z"},{"alias_kind":"pith_short_16","alias_value":"WHT3ZXWTJII7DOWS","created_at":"2026-07-05T11:52:17Z"},{"alias_kind":"pith_short_8","alias_value":"WHT3ZXWT","created_at":"2026-07-05T11:52:17Z"}],"graph_snapshots":[{"event_id":"sha256:81736a48702a5c87dd46f75c764d52b01266e576c7dd22a6cc42688cf68270c9","target":"graph","created_at":"2026-07-05T11:52:17Z","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/2501.13627/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The jiggling lemma of Thurston shows that any triangulation can be jiggled (read: subdivided and then perturbed) to be in general position with respect to a distribution. Our main result is a generalization of Thurston's lemma. It states that piecewise smooth solutions of a given open and fiberwise dense differential relation $\\mathcal{R} \\subset J^1(E)$ of first order can be constructed by jiggling arbitrary sections of $E$. Our statement also holds in parametric and relative form. We understand this as an h-principle without homotopical assumptions for piecewise smooth solutions of $\\mathcal","authors_text":"\\'Alvaro del Pino, Anna Fokma, Lauran Toussaint","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-01-23T12:46:30Z","title":"Jiggling: an h-principle without homotopical assumptions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.13627","kind":"arxiv","version":2},"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":"sha256:2ae74447a0aed10b5dbd1a1a95c44638be9223f8ccf3b79049ffedc6de2d3fd3","target":"record","created_at":"2026-07-05T11:52:17Z","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":"ed6588db06cd6780e16a92906656babacd18625ad204384b1eefbd6c6b8c99a2","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-01-23T12:46:30Z","title_canon_sha256":"653bdb0914a571c2949ab8852f53ccbd5c8dae088a4d6b0b2c929f0d388fd904"},"schema_version":"1.0","source":{"id":"2501.13627","kind":"arxiv","version":2}},"canonical_sha256":"b1e7bcded34a11f1bad23f2769bb956ae8689c0d5dde4e962bedb6c77b7ebdef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1e7bcded34a11f1bad23f2769bb956ae8689c0d5dde4e962bedb6c77b7ebdef","first_computed_at":"2026-07-05T11:52:17.154660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:52:17.154660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H9E+WPWvmws1YgUNif14x9aU7ox94KA+6zcpaflptgALw+QR7CIN2lO4k09s/xeRjYX1e7t14p5cx5J9dhEKBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:52:17.155089Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.13627","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ae74447a0aed10b5dbd1a1a95c44638be9223f8ccf3b79049ffedc6de2d3fd3","sha256:81736a48702a5c87dd46f75c764d52b01266e576c7dd22a6cc42688cf68270c9"],"state_sha256":"657581292e2d6919aee77d4a16e9d8dcd61c14e8c0867ccaa2204853a7b726f9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/bhC2HVtjUhMiMDC9IrPKaaWEaprLFa53W88RTpKQQchROjyr/GdrFqe85Hor6nnPMCkODsDIKnaJCVW4eCGBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T09:13:03.571934Z","bundle_sha256":"f6dda776c0ec6830e50104faef872422ff1edb444e954336fc75f4662dbc4fa2"}}