{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:L7OQ23A2ZNM45OHRQB65DIQHRE","short_pith_number":"pith:L7OQ23A2","canonical_record":{"source":{"id":"1701.04348","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-01-16T16:26:56Z","cross_cats_sorted":[],"title_canon_sha256":"fbfabb8de747a2397608afe3231ef84b5c2cd36e0268ebfe16a627f4ee40d4b6","abstract_canon_sha256":"b7762cc47f3335f2535cd5682b80d9ff2e536f2c333602bbc5dbda19160d9194"},"schema_version":"1.0"},"canonical_sha256":"5fdd0d6c1acb59ceb8f1807dd1a20789380f0e18e7a342030cd67b06b6bb3365","source":{"kind":"arxiv","id":"1701.04348","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04348","created_at":"2026-05-18T00:52:47Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04348v1","created_at":"2026-05-18T00:52:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04348","created_at":"2026-05-18T00:52:47Z"},{"alias_kind":"pith_short_12","alias_value":"L7OQ23A2ZNM4","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L7OQ23A2ZNM45OHR","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L7OQ23A2","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:L7OQ23A2ZNM45OHRQB65DIQHRE","target":"record","payload":{"canonical_record":{"source":{"id":"1701.04348","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-01-16T16:26:56Z","cross_cats_sorted":[],"title_canon_sha256":"fbfabb8de747a2397608afe3231ef84b5c2cd36e0268ebfe16a627f4ee40d4b6","abstract_canon_sha256":"b7762cc47f3335f2535cd5682b80d9ff2e536f2c333602bbc5dbda19160d9194"},"schema_version":"1.0"},"canonical_sha256":"5fdd0d6c1acb59ceb8f1807dd1a20789380f0e18e7a342030cd67b06b6bb3365","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:47.025343Z","signature_b64":"yWoBCIjnrMxWswRlQgO13Bl6I/JOEIBrhVDw1rhV4CqJ8brhuYOfzEXcCkvKoIAkiShVvZcrVF/HO4mj1sn7Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fdd0d6c1acb59ceb8f1807dd1a20789380f0e18e7a342030cd67b06b6bb3365","last_reissued_at":"2026-05-18T00:52:47.024612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:47.024612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.04348","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EbONdMTAY4DPjZE81iDTer1ogMGKbzGWtuHkiglDR4yly+AErN0V1GLUYkbecbCCQ5BLHzuXfaHgOFLVKvqhBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T15:51:26.898922Z"},"content_sha256":"b80dd9ea35179c737f383e50a210215f981e55a22a85a84a902094fff4542ecc","schema_version":"1.0","event_id":"sha256:b80dd9ea35179c737f383e50a210215f981e55a22a85a84a902094fff4542ecc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:L7OQ23A2ZNM45OHRQB65DIQHRE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Pawe{\\l} Goldstein, Piotr Haj{\\l}asz","submitted_at":"2017-01-16T16:26:56Z","abstract_excerpt":"We construct an a.e. approximately differentiable homeomorphism of a unit $n$-dimensional cube onto itself which is orientation preserving, has the Lusin property (N) and has the Jacobian determinant negative a.e. Moreover, the homeomorphism together with its inverse satisfy a rather general sub-Lipschitz condition, in particular it can be bi-H\\\"older continuous with an arbitrary exponent less than $1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04348","kind":"arxiv","version":1},"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":"2026-05-18T00:52:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lVEF2Fn3F25FBFGrDOkgA2blVE0WB0a14lk79hu4ldKqvO8YiuAjRyIPlXbcta498RDuhT5BLPdMyWs8Qd3fBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T15:51:26.899565Z"},"content_sha256":"d1c31bd295f03ba4a20367e9b6c15943079f703575c1469007d0061ec3c47940","schema_version":"1.0","event_id":"sha256:d1c31bd295f03ba4a20367e9b6c15943079f703575c1469007d0061ec3c47940"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L7OQ23A2ZNM45OHRQB65DIQHRE/bundle.json","state_url":"https://pith.science/pith/L7OQ23A2ZNM45OHRQB65DIQHRE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L7OQ23A2ZNM45OHRQB65DIQHRE/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":"2026-06-07T15:51:26Z","links":{"resolver":"https://pith.science/pith/L7OQ23A2ZNM45OHRQB65DIQHRE","bundle":"https://pith.science/pith/L7OQ23A2ZNM45OHRQB65DIQHRE/bundle.json","state":"https://pith.science/pith/L7OQ23A2ZNM45OHRQB65DIQHRE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L7OQ23A2ZNM45OHRQB65DIQHRE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:L7OQ23A2ZNM45OHRQB65DIQHRE","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":"b7762cc47f3335f2535cd5682b80d9ff2e536f2c333602bbc5dbda19160d9194","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-01-16T16:26:56Z","title_canon_sha256":"fbfabb8de747a2397608afe3231ef84b5c2cd36e0268ebfe16a627f4ee40d4b6"},"schema_version":"1.0","source":{"id":"1701.04348","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04348","created_at":"2026-05-18T00:52:47Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04348v1","created_at":"2026-05-18T00:52:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04348","created_at":"2026-05-18T00:52:47Z"},{"alias_kind":"pith_short_12","alias_value":"L7OQ23A2ZNM4","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L7OQ23A2ZNM45OHR","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L7OQ23A2","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:d1c31bd295f03ba4a20367e9b6c15943079f703575c1469007d0061ec3c47940","target":"graph","created_at":"2026-05-18T00:52:47Z","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 construct an a.e. approximately differentiable homeomorphism of a unit $n$-dimensional cube onto itself which is orientation preserving, has the Lusin property (N) and has the Jacobian determinant negative a.e. Moreover, the homeomorphism together with its inverse satisfy a rather general sub-Lipschitz condition, in particular it can be bi-H\\\"older continuous with an arbitrary exponent less than $1$.","authors_text":"Pawe{\\l} Goldstein, Piotr Haj{\\l}asz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-01-16T16:26:56Z","title":"Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04348","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:b80dd9ea35179c737f383e50a210215f981e55a22a85a84a902094fff4542ecc","target":"record","created_at":"2026-05-18T00:52:47Z","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":"b7762cc47f3335f2535cd5682b80d9ff2e536f2c333602bbc5dbda19160d9194","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-01-16T16:26:56Z","title_canon_sha256":"fbfabb8de747a2397608afe3231ef84b5c2cd36e0268ebfe16a627f4ee40d4b6"},"schema_version":"1.0","source":{"id":"1701.04348","kind":"arxiv","version":1}},"canonical_sha256":"5fdd0d6c1acb59ceb8f1807dd1a20789380f0e18e7a342030cd67b06b6bb3365","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fdd0d6c1acb59ceb8f1807dd1a20789380f0e18e7a342030cd67b06b6bb3365","first_computed_at":"2026-05-18T00:52:47.024612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:47.024612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yWoBCIjnrMxWswRlQgO13Bl6I/JOEIBrhVDw1rhV4CqJ8brhuYOfzEXcCkvKoIAkiShVvZcrVF/HO4mj1sn7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:47.025343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04348","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b80dd9ea35179c737f383e50a210215f981e55a22a85a84a902094fff4542ecc","sha256:d1c31bd295f03ba4a20367e9b6c15943079f703575c1469007d0061ec3c47940"],"state_sha256":"f052b5ba425e63f4e76d50df365128d59ebd6a5ab74da9e4ad02420edc93e7d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VghDxYLV9QObBnROEpcsne193pK1b+Rs8XI0mAKf/p95Tiw/6CWLQL5kqQZejh4OlgA7IPORboS/mZDd3ksSBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T15:51:26.903560Z","bundle_sha256":"911a394b6f12b9af343f9bc409a19c19a6fd1c0d0f063e238c5d15644bf87e77"}}