{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TDSJRFF55Y6IX7JFO2723P44G4","short_pith_number":"pith:TDSJRFF5","canonical_record":{"source":{"id":"1706.10175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-30T12:42:49Z","cross_cats_sorted":[],"title_canon_sha256":"4e9b1bf29620886aeb77f33fcc760e7cb425f63976f5c706e78ed37fa574d1c8","abstract_canon_sha256":"21d45c759b45a769cdcde4b373ea0fdf533cf4f8e1e8a30d0beb63ce790c9993"},"schema_version":"1.0"},"canonical_sha256":"98e49894bdee3c8bfd2576bfadbf9c37164a905e2efbbcc9b54149c572f1b1c4","source":{"kind":"arxiv","id":"1706.10175","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.10175","created_at":"2026-05-18T00:41:09Z"},{"alias_kind":"arxiv_version","alias_value":"1706.10175v1","created_at":"2026-05-18T00:41:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.10175","created_at":"2026-05-18T00:41:09Z"},{"alias_kind":"pith_short_12","alias_value":"TDSJRFF55Y6I","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TDSJRFF55Y6IX7JF","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TDSJRFF5","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TDSJRFF55Y6IX7JFO2723P44G4","target":"record","payload":{"canonical_record":{"source":{"id":"1706.10175","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-30T12:42:49Z","cross_cats_sorted":[],"title_canon_sha256":"4e9b1bf29620886aeb77f33fcc760e7cb425f63976f5c706e78ed37fa574d1c8","abstract_canon_sha256":"21d45c759b45a769cdcde4b373ea0fdf533cf4f8e1e8a30d0beb63ce790c9993"},"schema_version":"1.0"},"canonical_sha256":"98e49894bdee3c8bfd2576bfadbf9c37164a905e2efbbcc9b54149c572f1b1c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:09.241666Z","signature_b64":"7QQferRUArbN9ZaXhUUsZXYS1LTYOWpLvsmCic/saqscBFpD2riSwUWvbMx+21YVL5iZtezrPWbsSXxb/DTKDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98e49894bdee3c8bfd2576bfadbf9c37164a905e2efbbcc9b54149c572f1b1c4","last_reissued_at":"2026-05-18T00:41:09.241152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:09.241152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.10175","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":"2026-05-18T00:41:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nX0C4x9+u//8zr+Txf/oaxGLK4WzEPw7fchVhIrUxP6lIX2HGYbLdXewo/2O7XhVngZRdHeVEpIj9L/4nSV6BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:50:33.798888Z"},"content_sha256":"1990416e1375b66cfbc9f041414c919801ed8c9c234f871dd5262ba65feea23d","schema_version":"1.0","event_id":"sha256:1990416e1375b66cfbc9f041414c919801ed8c9c234f871dd5262ba65feea23d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TDSJRFF55Y6IX7JFO2723P44G4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lipschitz continuity of quasiconformal mappings and of the solutions to second order elliptic PDE with respect to the distance ratio metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Peijin Li, Saminthan Ponnusamy","submitted_at":"2017-06-30T12:42:49Z","abstract_excerpt":"The main aim of this paper is to study the Lipschitz continuity of certain $(K, K')$-quasiconformal mappings with respect to the distance ratio metric, and the Lipschitz continuity of the solution of a quasilinear differential equation with respect to the distance ratio metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.10175","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":"2026-05-18T00:41:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qpieYm3lZjbNJX9+hxIHVBKtOyhnstuhQPpGmzsXr4jcbHuFA1BJ3MKGITj6Cu8pVUFEfiDuMIAJg3UDpPSzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:50:33.799231Z"},"content_sha256":"06dcbd6e8df99f959a9ac681ad6c904d20e9e5ecbf01acd1c8e1e58af6c0021c","schema_version":"1.0","event_id":"sha256:06dcbd6e8df99f959a9ac681ad6c904d20e9e5ecbf01acd1c8e1e58af6c0021c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TDSJRFF55Y6IX7JFO2723P44G4/bundle.json","state_url":"https://pith.science/pith/TDSJRFF55Y6IX7JFO2723P44G4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TDSJRFF55Y6IX7JFO2723P44G4/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":"2026-06-07T02:50:33Z","links":{"resolver":"https://pith.science/pith/TDSJRFF55Y6IX7JFO2723P44G4","bundle":"https://pith.science/pith/TDSJRFF55Y6IX7JFO2723P44G4/bundle.json","state":"https://pith.science/pith/TDSJRFF55Y6IX7JFO2723P44G4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TDSJRFF55Y6IX7JFO2723P44G4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TDSJRFF55Y6IX7JFO2723P44G4","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":"21d45c759b45a769cdcde4b373ea0fdf533cf4f8e1e8a30d0beb63ce790c9993","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-30T12:42:49Z","title_canon_sha256":"4e9b1bf29620886aeb77f33fcc760e7cb425f63976f5c706e78ed37fa574d1c8"},"schema_version":"1.0","source":{"id":"1706.10175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.10175","created_at":"2026-05-18T00:41:09Z"},{"alias_kind":"arxiv_version","alias_value":"1706.10175v1","created_at":"2026-05-18T00:41:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.10175","created_at":"2026-05-18T00:41:09Z"},{"alias_kind":"pith_short_12","alias_value":"TDSJRFF55Y6I","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TDSJRFF55Y6IX7JF","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TDSJRFF5","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:06dcbd6e8df99f959a9ac681ad6c904d20e9e5ecbf01acd1c8e1e58af6c0021c","target":"graph","created_at":"2026-05-18T00:41:09Z","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":"The main aim of this paper is to study the Lipschitz continuity of certain $(K, K')$-quasiconformal mappings with respect to the distance ratio metric, and the Lipschitz continuity of the solution of a quasilinear differential equation with respect to the distance ratio metric.","authors_text":"Peijin Li, Saminthan Ponnusamy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-30T12:42:49Z","title":"Lipschitz continuity of quasiconformal mappings and of the solutions to second order elliptic PDE with respect to the distance ratio metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.10175","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":"sha256:1990416e1375b66cfbc9f041414c919801ed8c9c234f871dd5262ba65feea23d","target":"record","created_at":"2026-05-18T00:41:09Z","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":"21d45c759b45a769cdcde4b373ea0fdf533cf4f8e1e8a30d0beb63ce790c9993","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-30T12:42:49Z","title_canon_sha256":"4e9b1bf29620886aeb77f33fcc760e7cb425f63976f5c706e78ed37fa574d1c8"},"schema_version":"1.0","source":{"id":"1706.10175","kind":"arxiv","version":1}},"canonical_sha256":"98e49894bdee3c8bfd2576bfadbf9c37164a905e2efbbcc9b54149c572f1b1c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98e49894bdee3c8bfd2576bfadbf9c37164a905e2efbbcc9b54149c572f1b1c4","first_computed_at":"2026-05-18T00:41:09.241152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:09.241152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7QQferRUArbN9ZaXhUUsZXYS1LTYOWpLvsmCic/saqscBFpD2riSwUWvbMx+21YVL5iZtezrPWbsSXxb/DTKDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:09.241666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.10175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1990416e1375b66cfbc9f041414c919801ed8c9c234f871dd5262ba65feea23d","sha256:06dcbd6e8df99f959a9ac681ad6c904d20e9e5ecbf01acd1c8e1e58af6c0021c"],"state_sha256":"6b7018e4f0e98a0da0986f65dc6034706130074346b145bc462901c600e6e615"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hLY60hSO7UrOAAZWKMuMvAlVFMEb6Oz1zRRZzGarWNRQqqFbzqlprS7WakxbJJHIrrj1jj/t6OjFvBUgCSMcDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T02:50:33.801120Z","bundle_sha256":"6048027f719b8a09e440b09518aa3a52db75ee9ab2b4cf3f154d249666e76867"}}