{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:HSYJZKMQ3YDHRWFKA4SWJ37YVI","short_pith_number":"pith:HSYJZKMQ","canonical_record":{"source":{"id":"2309.05071","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-10T16:32:02Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"6b4130a5d89de2ec0828d599665acceab76f52e0b3c6bc269d13840d007e9e00","abstract_canon_sha256":"cbe8eb509b21341539cf9c607565c9b80d4d8bdd22c4e75c54a1545417ae9484"},"schema_version":"1.0"},"canonical_sha256":"3cb09ca990de0678d8aa072564eff8aa043a60c7d693bd0a5ea72de11b7b0226","source":{"kind":"arxiv","id":"2309.05071","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.05071","created_at":"2026-07-05T06:51:29Z"},{"alias_kind":"arxiv_version","alias_value":"2309.05071v2","created_at":"2026-07-05T06:51:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.05071","created_at":"2026-07-05T06:51:29Z"},{"alias_kind":"pith_short_12","alias_value":"HSYJZKMQ3YDH","created_at":"2026-07-05T06:51:29Z"},{"alias_kind":"pith_short_16","alias_value":"HSYJZKMQ3YDHRWFK","created_at":"2026-07-05T06:51:29Z"},{"alias_kind":"pith_short_8","alias_value":"HSYJZKMQ","created_at":"2026-07-05T06:51:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:HSYJZKMQ3YDHRWFKA4SWJ37YVI","target":"record","payload":{"canonical_record":{"source":{"id":"2309.05071","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-10T16:32:02Z","cross_cats_sorted":["cs.CV"],"title_canon_sha256":"6b4130a5d89de2ec0828d599665acceab76f52e0b3c6bc269d13840d007e9e00","abstract_canon_sha256":"cbe8eb509b21341539cf9c607565c9b80d4d8bdd22c4e75c54a1545417ae9484"},"schema_version":"1.0"},"canonical_sha256":"3cb09ca990de0678d8aa072564eff8aa043a60c7d693bd0a5ea72de11b7b0226","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:51:29.472803Z","signature_b64":"lqlPZf67dPzsMesrfb1pmCTig+rgm3bfKDcpeYURteWcJULoBkNRH7zOewr20NobS5BzVCHBrptL06wetzhtDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cb09ca990de0678d8aa072564eff8aa043a60c7d693bd0a5ea72de11b7b0226","last_reissued_at":"2026-07-05T06:51:29.472452Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:51:29.472452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.05071","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":"2026-07-05T06:51:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XcpyAsdwpFvXM272H94pT6sUeuRSbCqwG0AI+lTD/3QuWDJwVKjrZh4NQsWp4tBY0Ve4+pOQa+AEq3aDwhwbCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T04:07:53.969066Z"},"content_sha256":"27d0ea1048ac617230b32ca34f3dc61566fa6be7b2b32cce3a8ca5180de0d3fb","schema_version":"1.0","event_id":"sha256:27d0ea1048ac617230b32ca34f3dc61566fa6be7b2b32cce3a8ca5180de0d3fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:HSYJZKMQ3YDHRWFKA4SWJ37YVI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Super-Resolution Surface Reconstruction from Few Low-Resolution Slices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV"],"primary_cat":"math.AP","authors_text":"Ke Chen, Shang-Hua Yang, Yiyao Zhang","submitted_at":"2023-09-10T16:32:02Z","abstract_excerpt":"In many imaging applications where segmented features (e.g. blood vessels) are further used for other numerical simulations (e.g. finite element analysis), the obtained surfaces do not have fine resolutions suitable for the task. Increasing the resolution of such surfaces becomes crucial. This paper proposes a new variational model for solving this problem, based on an Euler-Elastica-based regulariser. Further, we propose and implement two numerical algorithms for solving the model, a projected gradient descent method and the alternating direction method of multipliers. Numerical experiments u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.05071","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/2309.05071/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":"2026-07-05T06:51:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RQLpPqJ0WcpB/SQX4hP9o/he2kfkRem0+a3FAISANNO4yL7R+L0eXJ3gudB9o/yXRVd/1kyjp8CakzXCofyxDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T04:07:53.969567Z"},"content_sha256":"9a25d136f72e51150b7ac804170cd617faf00f0d0daee5ba624990d663185080","schema_version":"1.0","event_id":"sha256:9a25d136f72e51150b7ac804170cd617faf00f0d0daee5ba624990d663185080"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HSYJZKMQ3YDHRWFKA4SWJ37YVI/bundle.json","state_url":"https://pith.science/pith/HSYJZKMQ3YDHRWFKA4SWJ37YVI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HSYJZKMQ3YDHRWFKA4SWJ37YVI/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":"2026-08-08T04:07:53Z","links":{"resolver":"https://pith.science/pith/HSYJZKMQ3YDHRWFKA4SWJ37YVI","bundle":"https://pith.science/pith/HSYJZKMQ3YDHRWFKA4SWJ37YVI/bundle.json","state":"https://pith.science/pith/HSYJZKMQ3YDHRWFKA4SWJ37YVI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HSYJZKMQ3YDHRWFKA4SWJ37YVI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:HSYJZKMQ3YDHRWFKA4SWJ37YVI","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":"cbe8eb509b21341539cf9c607565c9b80d4d8bdd22c4e75c54a1545417ae9484","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-10T16:32:02Z","title_canon_sha256":"6b4130a5d89de2ec0828d599665acceab76f52e0b3c6bc269d13840d007e9e00"},"schema_version":"1.0","source":{"id":"2309.05071","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.05071","created_at":"2026-07-05T06:51:29Z"},{"alias_kind":"arxiv_version","alias_value":"2309.05071v2","created_at":"2026-07-05T06:51:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.05071","created_at":"2026-07-05T06:51:29Z"},{"alias_kind":"pith_short_12","alias_value":"HSYJZKMQ3YDH","created_at":"2026-07-05T06:51:29Z"},{"alias_kind":"pith_short_16","alias_value":"HSYJZKMQ3YDHRWFK","created_at":"2026-07-05T06:51:29Z"},{"alias_kind":"pith_short_8","alias_value":"HSYJZKMQ","created_at":"2026-07-05T06:51:29Z"}],"graph_snapshots":[{"event_id":"sha256:9a25d136f72e51150b7ac804170cd617faf00f0d0daee5ba624990d663185080","target":"graph","created_at":"2026-07-05T06:51:29Z","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/2309.05071/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In many imaging applications where segmented features (e.g. blood vessels) are further used for other numerical simulations (e.g. finite element analysis), the obtained surfaces do not have fine resolutions suitable for the task. Increasing the resolution of such surfaces becomes crucial. This paper proposes a new variational model for solving this problem, based on an Euler-Elastica-based regulariser. Further, we propose and implement two numerical algorithms for solving the model, a projected gradient descent method and the alternating direction method of multipliers. Numerical experiments u","authors_text":"Ke Chen, Shang-Hua Yang, Yiyao Zhang","cross_cats":["cs.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-10T16:32:02Z","title":"Super-Resolution Surface Reconstruction from Few Low-Resolution Slices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.05071","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":"sha256:27d0ea1048ac617230b32ca34f3dc61566fa6be7b2b32cce3a8ca5180de0d3fb","target":"record","created_at":"2026-07-05T06:51:29Z","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":"cbe8eb509b21341539cf9c607565c9b80d4d8bdd22c4e75c54a1545417ae9484","cross_cats_sorted":["cs.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-10T16:32:02Z","title_canon_sha256":"6b4130a5d89de2ec0828d599665acceab76f52e0b3c6bc269d13840d007e9e00"},"schema_version":"1.0","source":{"id":"2309.05071","kind":"arxiv","version":2}},"canonical_sha256":"3cb09ca990de0678d8aa072564eff8aa043a60c7d693bd0a5ea72de11b7b0226","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cb09ca990de0678d8aa072564eff8aa043a60c7d693bd0a5ea72de11b7b0226","first_computed_at":"2026-07-05T06:51:29.472452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:51:29.472452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lqlPZf67dPzsMesrfb1pmCTig+rgm3bfKDcpeYURteWcJULoBkNRH7zOewr20NobS5BzVCHBrptL06wetzhtDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:51:29.472803Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.05071","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27d0ea1048ac617230b32ca34f3dc61566fa6be7b2b32cce3a8ca5180de0d3fb","sha256:9a25d136f72e51150b7ac804170cd617faf00f0d0daee5ba624990d663185080"],"state_sha256":"6f825c373591be2a9f53782a174b1534a653d997416cd070c4f11a0aef16db58"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iq9hiCr0rWnZaSao9MTnV8bO309xhMH3aLHiY0albFafc3//73XeWCqBrGa7bCZmGHNjTpihupmBzQGjzcNUCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T04:07:53.974565Z","bundle_sha256":"3f2c331ead412b18131cd3185f3d00955a75acf389b540a14658565df3120298"}}