{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:OEEMEWWVH3HYIYRFF7HKN6ZWKX","short_pith_number":"pith:OEEMEWWV","canonical_record":{"source":{"id":"2411.16042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2024-11-25T02:14:20Z","cross_cats_sorted":[],"title_canon_sha256":"c79ae174a6cb9adb3f363c8244a4a6e2857232ae96c6d98c5663e1f5cbe197cd","abstract_canon_sha256":"6de2e5663392b1e5ef8d9e96be3fac5e5a71a4ce6888fb37a4552091d346b82b"},"schema_version":"1.0"},"canonical_sha256":"7108c25ad53ecf8462252fcea6fb3655c4b3fa1a2f8174408d30127f6308ec7f","source":{"kind":"arxiv","id":"2411.16042","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.16042","created_at":"2026-07-05T09:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"2411.16042v1","created_at":"2026-07-05T09:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.16042","created_at":"2026-07-05T09:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"OEEMEWWVH3HY","created_at":"2026-07-05T09:40:02Z"},{"alias_kind":"pith_short_16","alias_value":"OEEMEWWVH3HYIYRF","created_at":"2026-07-05T09:40:02Z"},{"alias_kind":"pith_short_8","alias_value":"OEEMEWWV","created_at":"2026-07-05T09:40:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:OEEMEWWVH3HYIYRFF7HKN6ZWKX","target":"record","payload":{"canonical_record":{"source":{"id":"2411.16042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2024-11-25T02:14:20Z","cross_cats_sorted":[],"title_canon_sha256":"c79ae174a6cb9adb3f363c8244a4a6e2857232ae96c6d98c5663e1f5cbe197cd","abstract_canon_sha256":"6de2e5663392b1e5ef8d9e96be3fac5e5a71a4ce6888fb37a4552091d346b82b"},"schema_version":"1.0"},"canonical_sha256":"7108c25ad53ecf8462252fcea6fb3655c4b3fa1a2f8174408d30127f6308ec7f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:40:02.980175Z","signature_b64":"6KNyE7Spzlcgoeo+jdGhgIOljtn4DF68NMloCt32yPBeYvi0Hkiz/jORE4wbSmlt0IoB+/pi1nH1MK1SwCAsCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7108c25ad53ecf8462252fcea6fb3655c4b3fa1a2f8174408d30127f6308ec7f","last_reissued_at":"2026-07-05T09:40:02.979536Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:40:02.979536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.16042","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":"2026-07-05T09:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YxGr967EMa9FfjPYIXIBj3miFxiM2vBy9Nb1R0AneZrfUyKZLUMa2waMkRElptd0Lhs2DpaBXeWxq+liHMAnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T05:54:58.453975Z"},"content_sha256":"696ad149d09275ff9ce9483eeba4cca3f8c9cde91f89539c79e07ba266f8e4f5","schema_version":"1.0","event_id":"sha256:696ad149d09275ff9ce9483eeba4cca3f8c9cde91f89539c79e07ba266f8e4f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:OEEMEWWVH3HYIYRFF7HKN6ZWKX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The boundary correspondence under quasiconformal mappings and VMO-Teichmuller space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Liu Tailiang, Shen Yuliang","submitted_at":"2024-11-25T02:14:20Z","abstract_excerpt":"In this paper, we introduce a class of vanishing Carleson measures with conformal invariance and corresponding strongly vanishing symmetric homeomorphisms on the real line and prove that they can be mutually generated under quasiconformal mappings. This is motivated by constructing a nice VMO-Teichmuller space on the real line, which completely removes the obstacle of the usual VMO-Teichmuller space that lacks conformal invariance and is repeatedly encountered in the papers [17,22-24]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.16042","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.16042/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":"2026-07-05T09:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"foehpoj3geElzZtKIcwvREnL9zf1Jq4+kLz7L1v9eNg6xxOY/ssDPjfvU50xNXSW1f8oGroCa2euGVC0vYNEBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T05:54:58.454343Z"},"content_sha256":"b00594634de89753f782e52906945eeaba5e6a9808becc73dc898cf566495392","schema_version":"1.0","event_id":"sha256:b00594634de89753f782e52906945eeaba5e6a9808becc73dc898cf566495392"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OEEMEWWVH3HYIYRFF7HKN6ZWKX/bundle.json","state_url":"https://pith.science/pith/OEEMEWWVH3HYIYRFF7HKN6ZWKX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OEEMEWWVH3HYIYRFF7HKN6ZWKX/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":"2026-08-13T05:54:58Z","links":{"resolver":"https://pith.science/pith/OEEMEWWVH3HYIYRFF7HKN6ZWKX","bundle":"https://pith.science/pith/OEEMEWWVH3HYIYRFF7HKN6ZWKX/bundle.json","state":"https://pith.science/pith/OEEMEWWVH3HYIYRFF7HKN6ZWKX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OEEMEWWVH3HYIYRFF7HKN6ZWKX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OEEMEWWVH3HYIYRFF7HKN6ZWKX","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":"6de2e5663392b1e5ef8d9e96be3fac5e5a71a4ce6888fb37a4552091d346b82b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2024-11-25T02:14:20Z","title_canon_sha256":"c79ae174a6cb9adb3f363c8244a4a6e2857232ae96c6d98c5663e1f5cbe197cd"},"schema_version":"1.0","source":{"id":"2411.16042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.16042","created_at":"2026-07-05T09:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"2411.16042v1","created_at":"2026-07-05T09:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.16042","created_at":"2026-07-05T09:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"OEEMEWWVH3HY","created_at":"2026-07-05T09:40:02Z"},{"alias_kind":"pith_short_16","alias_value":"OEEMEWWVH3HYIYRF","created_at":"2026-07-05T09:40:02Z"},{"alias_kind":"pith_short_8","alias_value":"OEEMEWWV","created_at":"2026-07-05T09:40:02Z"}],"graph_snapshots":[{"event_id":"sha256:b00594634de89753f782e52906945eeaba5e6a9808becc73dc898cf566495392","target":"graph","created_at":"2026-07-05T09:40:02Z","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/2411.16042/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we introduce a class of vanishing Carleson measures with conformal invariance and corresponding strongly vanishing symmetric homeomorphisms on the real line and prove that they can be mutually generated under quasiconformal mappings. This is motivated by constructing a nice VMO-Teichmuller space on the real line, which completely removes the obstacle of the usual VMO-Teichmuller space that lacks conformal invariance and is repeatedly encountered in the papers [17,22-24].","authors_text":"Liu Tailiang, Shen Yuliang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2024-11-25T02:14:20Z","title":"The boundary correspondence under quasiconformal mappings and VMO-Teichmuller space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.16042","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":"sha256:696ad149d09275ff9ce9483eeba4cca3f8c9cde91f89539c79e07ba266f8e4f5","target":"record","created_at":"2026-07-05T09:40:02Z","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":"6de2e5663392b1e5ef8d9e96be3fac5e5a71a4ce6888fb37a4552091d346b82b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2024-11-25T02:14:20Z","title_canon_sha256":"c79ae174a6cb9adb3f363c8244a4a6e2857232ae96c6d98c5663e1f5cbe197cd"},"schema_version":"1.0","source":{"id":"2411.16042","kind":"arxiv","version":1}},"canonical_sha256":"7108c25ad53ecf8462252fcea6fb3655c4b3fa1a2f8174408d30127f6308ec7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7108c25ad53ecf8462252fcea6fb3655c4b3fa1a2f8174408d30127f6308ec7f","first_computed_at":"2026-07-05T09:40:02.979536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:40:02.979536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6KNyE7Spzlcgoeo+jdGhgIOljtn4DF68NMloCt32yPBeYvi0Hkiz/jORE4wbSmlt0IoB+/pi1nH1MK1SwCAsCg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:40:02.980175Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.16042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:696ad149d09275ff9ce9483eeba4cca3f8c9cde91f89539c79e07ba266f8e4f5","sha256:b00594634de89753f782e52906945eeaba5e6a9808becc73dc898cf566495392"],"state_sha256":"532d333bd757c97870f929f557c92062fb0efb618d5a144993f1070d3187c99f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lRcEzeptoReTRoPSJ247CBEHajEAvcLZwciIxReibUKu0C40bb1NmBndbCi5qfLTAGxmNFn49uJTukvQ4JS7AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T05:54:58.456751Z","bundle_sha256":"1babf44dd16175ca97eb6ac3046120ad065260111260f3bd803721ff45bff596"}}