{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OVKAXHEPJN4LCAFPG6KZU3YYMM","short_pith_number":"pith:OVKAXHEP","canonical_record":{"source":{"id":"1801.05527","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-17T02:20:18Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"7bd2acc28cc3330c2247d34ba66c98eba1c8238d1833092466281783d496eda8","abstract_canon_sha256":"eaa2110fba4264fc081137aa1934aabe8655c2ac8a5444ddb68ffe285eccbed9"},"schema_version":"1.0"},"canonical_sha256":"75540b9c8f4b78b100af37959a6f18631fe992e92335554e36be664c13ef3196","source":{"kind":"arxiv","id":"1801.05527","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05527","created_at":"2026-05-18T00:06:46Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05527v2","created_at":"2026-05-18T00:06:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05527","created_at":"2026-05-18T00:06:46Z"},{"alias_kind":"pith_short_12","alias_value":"OVKAXHEPJN4L","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OVKAXHEPJN4LCAFP","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OVKAXHEP","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OVKAXHEPJN4LCAFPG6KZU3YYMM","target":"record","payload":{"canonical_record":{"source":{"id":"1801.05527","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-17T02:20:18Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"7bd2acc28cc3330c2247d34ba66c98eba1c8238d1833092466281783d496eda8","abstract_canon_sha256":"eaa2110fba4264fc081137aa1934aabe8655c2ac8a5444ddb68ffe285eccbed9"},"schema_version":"1.0"},"canonical_sha256":"75540b9c8f4b78b100af37959a6f18631fe992e92335554e36be664c13ef3196","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:46.316886Z","signature_b64":"V0pMYrgq1T0lTygdgwhV6fGC7ao/LLo7hwU24D1LMup0VwTp4CqmokopLous0Y0T5AZMr2WS5jdIZEAWC+LECA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75540b9c8f4b78b100af37959a6f18631fe992e92335554e36be664c13ef3196","last_reissued_at":"2026-05-18T00:06:46.316295Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:46.316295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.05527","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":"2026-05-18T00:06:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2nvcqAvMQouhAyUjS0DJ+PtHyZqT6b8V5/ELyEBILolTxT4IbXB5v431C60Oxgy2L7clk9MILnd2TOoeAHUPBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:10:20.434446Z"},"content_sha256":"b9d2ea602ee31687d1d5e005d0b3d1931bc78b18c4b91517a2a5dd9ef056ad2f","schema_version":"1.0","event_id":"sha256:b9d2ea602ee31687d1d5e005d0b3d1931bc78b18c4b91517a2a5dd9ef056ad2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OVKAXHEPJN4LCAFPG6KZU3YYMM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cahn--Hilliard inpainting with the double obstacle potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV"],"primary_cat":"math.AP","authors_text":"Harald Garcke, Kei Fong Lam, Vanessa Styles","submitted_at":"2018-01-17T02:20:18Z","abstract_excerpt":"The inpainting of damaged images has a wide range of applications, and many different mathematical methods have been proposed to solve this problem. Inpainting with the help of Cahn--Hilliard models has been particularly successful, and it turns out that Cahn--Hilliard inpainting with the double obstacle potential can lead to better results compared to inpainting with a smooth double well potential. However, a mathematical analysis of this approach is missing so far. In this paper we give first analytical results for a Cahn--Hilliard double obstacle inpainting model regarding existence of glob"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05527","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":""},"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":"2026-05-18T00:06:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TxEA893qzN9Qm3zIkBiZVGlLnt2ERhufqJBI46ukMtFeCP9Nq7N4KVrS89bj0AQHJbn50m51OIUIjgJECo7NCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:10:20.435241Z"},"content_sha256":"2f97cc0bf89fc761f8dda37fce060196a20bfdd19bd62794efc04b32f2244a00","schema_version":"1.0","event_id":"sha256:2f97cc0bf89fc761f8dda37fce060196a20bfdd19bd62794efc04b32f2244a00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OVKAXHEPJN4LCAFPG6KZU3YYMM/bundle.json","state_url":"https://pith.science/pith/OVKAXHEPJN4LCAFPG6KZU3YYMM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OVKAXHEPJN4LCAFPG6KZU3YYMM/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":"2026-05-27T21:10:20Z","links":{"resolver":"https://pith.science/pith/OVKAXHEPJN4LCAFPG6KZU3YYMM","bundle":"https://pith.science/pith/OVKAXHEPJN4LCAFPG6KZU3YYMM/bundle.json","state":"https://pith.science/pith/OVKAXHEPJN4LCAFPG6KZU3YYMM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OVKAXHEPJN4LCAFPG6KZU3YYMM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OVKAXHEPJN4LCAFPG6KZU3YYMM","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":"eaa2110fba4264fc081137aa1934aabe8655c2ac8a5444ddb68ffe285eccbed9","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-17T02:20:18Z","title_canon_sha256":"7bd2acc28cc3330c2247d34ba66c98eba1c8238d1833092466281783d496eda8"},"schema_version":"1.0","source":{"id":"1801.05527","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05527","created_at":"2026-05-18T00:06:46Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05527v2","created_at":"2026-05-18T00:06:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05527","created_at":"2026-05-18T00:06:46Z"},{"alias_kind":"pith_short_12","alias_value":"OVKAXHEPJN4L","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OVKAXHEPJN4LCAFP","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OVKAXHEP","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:2f97cc0bf89fc761f8dda37fce060196a20bfdd19bd62794efc04b32f2244a00","target":"graph","created_at":"2026-05-18T00:06:46Z","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 inpainting of damaged images has a wide range of applications, and many different mathematical methods have been proposed to solve this problem. Inpainting with the help of Cahn--Hilliard models has been particularly successful, and it turns out that Cahn--Hilliard inpainting with the double obstacle potential can lead to better results compared to inpainting with a smooth double well potential. However, a mathematical analysis of this approach is missing so far. In this paper we give first analytical results for a Cahn--Hilliard double obstacle inpainting model regarding existence of glob","authors_text":"Harald Garcke, Kei Fong Lam, Vanessa Styles","cross_cats":["cs.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-17T02:20:18Z","title":"Cahn--Hilliard inpainting with the double obstacle potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05527","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:b9d2ea602ee31687d1d5e005d0b3d1931bc78b18c4b91517a2a5dd9ef056ad2f","target":"record","created_at":"2026-05-18T00:06:46Z","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":"eaa2110fba4264fc081137aa1934aabe8655c2ac8a5444ddb68ffe285eccbed9","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-17T02:20:18Z","title_canon_sha256":"7bd2acc28cc3330c2247d34ba66c98eba1c8238d1833092466281783d496eda8"},"schema_version":"1.0","source":{"id":"1801.05527","kind":"arxiv","version":2}},"canonical_sha256":"75540b9c8f4b78b100af37959a6f18631fe992e92335554e36be664c13ef3196","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75540b9c8f4b78b100af37959a6f18631fe992e92335554e36be664c13ef3196","first_computed_at":"2026-05-18T00:06:46.316295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:46.316295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V0pMYrgq1T0lTygdgwhV6fGC7ao/LLo7hwU24D1LMup0VwTp4CqmokopLous0Y0T5AZMr2WS5jdIZEAWC+LECA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:46.316886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.05527","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9d2ea602ee31687d1d5e005d0b3d1931bc78b18c4b91517a2a5dd9ef056ad2f","sha256:2f97cc0bf89fc761f8dda37fce060196a20bfdd19bd62794efc04b32f2244a00"],"state_sha256":"f7db334f94af61847f92c03fbe39d42b43a3393d1f8210758e65c761e4655a67"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KQxShDme1Zw1Ei7gqc+THTC+KcQ2XJGdOA9IQEvpiB+VKZLbzo2tZ5GOB0+FK6UU5vY/9UAU9ZXolYXjju2aCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:10:20.439113Z","bundle_sha256":"f200cab8b73a7ffc24ec211a55104a38447c8f00f9fd4835b6e4f0661f214af8"}}