{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BJAADEDCT3UGKDFU7XQVLGXUQE","short_pith_number":"pith:BJAADEDC","canonical_record":{"source":{"id":"1605.09655","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-05-31T15:03:20Z","cross_cats_sorted":["math.AP","math.DG"],"title_canon_sha256":"420c7a2c17e14338eadd978bb8c950ba8e2eff5de2fdbbe18d8251e0fb9946e5","abstract_canon_sha256":"0c1bc3ef8e210c1274b99e2ccf3bad6b3c84233e95c54d7a0debbfc1cea3a651"},"schema_version":"1.0"},"canonical_sha256":"0a400190629ee8650cb4fde1559af4813b84a7593c6c3c144dac0acdb31cd6d0","source":{"kind":"arxiv","id":"1605.09655","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.09655","created_at":"2026-05-18T00:46:26Z"},{"alias_kind":"arxiv_version","alias_value":"1605.09655v2","created_at":"2026-05-18T00:46:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.09655","created_at":"2026-05-18T00:46:26Z"},{"alias_kind":"pith_short_12","alias_value":"BJAADEDCT3UG","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BJAADEDCT3UGKDFU","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BJAADEDC","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BJAADEDCT3UGKDFU7XQVLGXUQE","target":"record","payload":{"canonical_record":{"source":{"id":"1605.09655","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-05-31T15:03:20Z","cross_cats_sorted":["math.AP","math.DG"],"title_canon_sha256":"420c7a2c17e14338eadd978bb8c950ba8e2eff5de2fdbbe18d8251e0fb9946e5","abstract_canon_sha256":"0c1bc3ef8e210c1274b99e2ccf3bad6b3c84233e95c54d7a0debbfc1cea3a651"},"schema_version":"1.0"},"canonical_sha256":"0a400190629ee8650cb4fde1559af4813b84a7593c6c3c144dac0acdb31cd6d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:26.421544Z","signature_b64":"AGgWHlWskxQoVQlMzroFoEyBwHCccb4yHklfw4J8IxB+GtDAhANX/HvrPoPndb2CYyhG/Ic4M0/wWVRcuovlAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a400190629ee8650cb4fde1559af4813b84a7593c6c3c144dac0acdb31cd6d0","last_reissued_at":"2026-05-18T00:46:26.420765Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:26.420765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.09655","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":"2026-05-18T00:46:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iRmL1pc8DnTKAKKTrTDKDOBhntWU1nBS/RDiFaDR2A10CwKdeeLhFcxto4lR8dNbnLu4BWYtkAvQS4HpEuZiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T17:18:31.135815Z"},"content_sha256":"7b8279300224efe0f5502a0a9aa81dc6525b518c7674e1a8f0bd1a786cc876a7","schema_version":"1.0","event_id":"sha256:7b8279300224efe0f5502a0a9aa81dc6525b518c7674e1a8f0bd1a786cc876a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BJAADEDCT3UGKDFU7XQVLGXUQE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Continuity results for TV-minimizers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.DG"],"primary_cat":"math.FA","authors_text":"Gwenael Mercier","submitted_at":"2016-05-31T15:03:20Z","abstract_excerpt":"This paper deals with continuity preservation when minimizing generalized total variation with a $L^2$ fidelity term or a Dirichlet boundary condition. We extend several recent results in the two cases, mainly by showing comparison principles for the prescribed mean curvature problem satisfied by the level-sets of such minimizers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09655","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":"2026-05-18T00:46:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sze9VaPyIjP6j8vT1yrWNLyoNf+9X/y9a2kjkQhuGoTFzq/QahLDLqwI5HAaFS5cn9BDCFtvjoJyTh1qnlQNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T17:18:31.136153Z"},"content_sha256":"ca55a84065b97755bbf11b7769fbc5ffa7fff26ac060c736e086479cada625cd","schema_version":"1.0","event_id":"sha256:ca55a84065b97755bbf11b7769fbc5ffa7fff26ac060c736e086479cada625cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BJAADEDCT3UGKDFU7XQVLGXUQE/bundle.json","state_url":"https://pith.science/pith/BJAADEDCT3UGKDFU7XQVLGXUQE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BJAADEDCT3UGKDFU7XQVLGXUQE/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":"2026-06-24T17:18:31Z","links":{"resolver":"https://pith.science/pith/BJAADEDCT3UGKDFU7XQVLGXUQE","bundle":"https://pith.science/pith/BJAADEDCT3UGKDFU7XQVLGXUQE/bundle.json","state":"https://pith.science/pith/BJAADEDCT3UGKDFU7XQVLGXUQE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BJAADEDCT3UGKDFU7XQVLGXUQE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BJAADEDCT3UGKDFU7XQVLGXUQE","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":"0c1bc3ef8e210c1274b99e2ccf3bad6b3c84233e95c54d7a0debbfc1cea3a651","cross_cats_sorted":["math.AP","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-05-31T15:03:20Z","title_canon_sha256":"420c7a2c17e14338eadd978bb8c950ba8e2eff5de2fdbbe18d8251e0fb9946e5"},"schema_version":"1.0","source":{"id":"1605.09655","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.09655","created_at":"2026-05-18T00:46:26Z"},{"alias_kind":"arxiv_version","alias_value":"1605.09655v2","created_at":"2026-05-18T00:46:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.09655","created_at":"2026-05-18T00:46:26Z"},{"alias_kind":"pith_short_12","alias_value":"BJAADEDCT3UG","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BJAADEDCT3UGKDFU","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BJAADEDC","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:ca55a84065b97755bbf11b7769fbc5ffa7fff26ac060c736e086479cada625cd","target":"graph","created_at":"2026-05-18T00:46:26Z","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":"This paper deals with continuity preservation when minimizing generalized total variation with a $L^2$ fidelity term or a Dirichlet boundary condition. We extend several recent results in the two cases, mainly by showing comparison principles for the prescribed mean curvature problem satisfied by the level-sets of such minimizers.","authors_text":"Gwenael Mercier","cross_cats":["math.AP","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-05-31T15:03:20Z","title":"Continuity results for TV-minimizers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09655","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":"sha256:7b8279300224efe0f5502a0a9aa81dc6525b518c7674e1a8f0bd1a786cc876a7","target":"record","created_at":"2026-05-18T00:46:26Z","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":"0c1bc3ef8e210c1274b99e2ccf3bad6b3c84233e95c54d7a0debbfc1cea3a651","cross_cats_sorted":["math.AP","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-05-31T15:03:20Z","title_canon_sha256":"420c7a2c17e14338eadd978bb8c950ba8e2eff5de2fdbbe18d8251e0fb9946e5"},"schema_version":"1.0","source":{"id":"1605.09655","kind":"arxiv","version":2}},"canonical_sha256":"0a400190629ee8650cb4fde1559af4813b84a7593c6c3c144dac0acdb31cd6d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a400190629ee8650cb4fde1559af4813b84a7593c6c3c144dac0acdb31cd6d0","first_computed_at":"2026-05-18T00:46:26.420765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:26.420765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AGgWHlWskxQoVQlMzroFoEyBwHCccb4yHklfw4J8IxB+GtDAhANX/HvrPoPndb2CYyhG/Ic4M0/wWVRcuovlAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:26.421544Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.09655","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b8279300224efe0f5502a0a9aa81dc6525b518c7674e1a8f0bd1a786cc876a7","sha256:ca55a84065b97755bbf11b7769fbc5ffa7fff26ac060c736e086479cada625cd"],"state_sha256":"70140dbae90fc89712342f867f7e4efc446ff0ffa6cde587d86c3f4ee9f498f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LwaB2XcggW92R9zjIX1QwXZrmp3j2pBrL2YeLBpe+kkhjlJHfLjXKDmvaGY0oA4mZUeQgj0b6p0ovo/Km/YlBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T17:18:31.138161Z","bundle_sha256":"df0e4feec28c566463e99ff7e4782b263e3baa1af9975f97bea91737a96f5529"}}