{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OOGEIT7U4YBI57WU6RZ36ZGOE5","short_pith_number":"pith:OOGEIT7U","canonical_record":{"source":{"id":"1505.01963","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-08T09:25:39Z","cross_cats_sorted":[],"title_canon_sha256":"ec2f36a33c64ae84dbaeb1a479f1204b841a16a20b661e485670015bb5cf7ba2","abstract_canon_sha256":"dbde3a2046c6c43ecf08fb60878a214fdb8afbf9645f1e746a80600e5cd45eae"},"schema_version":"1.0"},"canonical_sha256":"738c444ff4e6028efed4f473bf64ce2767d3a60ca03afd6e550186f4f2495c7b","source":{"kind":"arxiv","id":"1505.01963","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01963","created_at":"2026-05-18T02:16:38Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01963v1","created_at":"2026-05-18T02:16:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01963","created_at":"2026-05-18T02:16:38Z"},{"alias_kind":"pith_short_12","alias_value":"OOGEIT7U4YBI","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OOGEIT7U4YBI57WU","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OOGEIT7U","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OOGEIT7U4YBI57WU6RZ36ZGOE5","target":"record","payload":{"canonical_record":{"source":{"id":"1505.01963","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-08T09:25:39Z","cross_cats_sorted":[],"title_canon_sha256":"ec2f36a33c64ae84dbaeb1a479f1204b841a16a20b661e485670015bb5cf7ba2","abstract_canon_sha256":"dbde3a2046c6c43ecf08fb60878a214fdb8afbf9645f1e746a80600e5cd45eae"},"schema_version":"1.0"},"canonical_sha256":"738c444ff4e6028efed4f473bf64ce2767d3a60ca03afd6e550186f4f2495c7b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:38.335100Z","signature_b64":"9ytUwVCcib/XznwtR+/SxlmgEsRSdf99lkO5cin31QERuBicviDzhIGKhCNqYdtIr8LS9fg9XGx04dN2ILlhBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"738c444ff4e6028efed4f473bf64ce2767d3a60ca03afd6e550186f4f2495c7b","last_reissued_at":"2026-05-18T02:16:38.334456Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:38.334456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.01963","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":"2026-05-18T02:16:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PEk7gaU2nSk5fOY3CSWQg0XQbSOnGGxiEdECbVy3ULrP1k8lJzJiT5xJlxXLB/hNmcVVjdp0dcOK9JWT0jugDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T03:29:08.229994Z"},"content_sha256":"379987d309696f5d6c856190719f76c13a36157acc63a4bb70436ed73463bf07","schema_version":"1.0","event_id":"sha256:379987d309696f5d6c856190719f76c13a36157acc63a4bb70436ed73463bf07"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OOGEIT7U4YBI57WU6RZ36ZGOE5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wave-type threshold dynamics and the hyperbolic mean curvature flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Elliott Ginder, Karel Svadlenka","submitted_at":"2015-05-08T09:25:39Z","abstract_excerpt":"We introduce a method for computing interfacial motions governed by curvature dependent acceleration. Our method is a thresholding algorithm of the BMO-type which, instead of utilizing a diffusion process, thresholds evolution by the wave equation to obtain the desired interfacial dynamics. We also develop the numerical method and present results of its application, including an investigation of the volume preserving and multiphase motions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01963","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":"2026-05-18T02:16:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lvxtbD7jFaNMAPUYiJ5HMovR8fhJKUxMtbUq/MrkYzu597rvOazhonDvSkjWyCYRVjtJsxbirEkvVmx46xe/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T03:29:08.230345Z"},"content_sha256":"c0ee6c2c36a9878860322ed17c995142794fbd821fc15c870f3140417e412f1a","schema_version":"1.0","event_id":"sha256:c0ee6c2c36a9878860322ed17c995142794fbd821fc15c870f3140417e412f1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OOGEIT7U4YBI57WU6RZ36ZGOE5/bundle.json","state_url":"https://pith.science/pith/OOGEIT7U4YBI57WU6RZ36ZGOE5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OOGEIT7U4YBI57WU6RZ36ZGOE5/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":"2026-07-03T03:29:08Z","links":{"resolver":"https://pith.science/pith/OOGEIT7U4YBI57WU6RZ36ZGOE5","bundle":"https://pith.science/pith/OOGEIT7U4YBI57WU6RZ36ZGOE5/bundle.json","state":"https://pith.science/pith/OOGEIT7U4YBI57WU6RZ36ZGOE5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OOGEIT7U4YBI57WU6RZ36ZGOE5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OOGEIT7U4YBI57WU6RZ36ZGOE5","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":"dbde3a2046c6c43ecf08fb60878a214fdb8afbf9645f1e746a80600e5cd45eae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-08T09:25:39Z","title_canon_sha256":"ec2f36a33c64ae84dbaeb1a479f1204b841a16a20b661e485670015bb5cf7ba2"},"schema_version":"1.0","source":{"id":"1505.01963","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01963","created_at":"2026-05-18T02:16:38Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01963v1","created_at":"2026-05-18T02:16:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01963","created_at":"2026-05-18T02:16:38Z"},{"alias_kind":"pith_short_12","alias_value":"OOGEIT7U4YBI","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OOGEIT7U4YBI57WU","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OOGEIT7U","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:c0ee6c2c36a9878860322ed17c995142794fbd821fc15c870f3140417e412f1a","target":"graph","created_at":"2026-05-18T02:16:38Z","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":"We introduce a method for computing interfacial motions governed by curvature dependent acceleration. Our method is a thresholding algorithm of the BMO-type which, instead of utilizing a diffusion process, thresholds evolution by the wave equation to obtain the desired interfacial dynamics. We also develop the numerical method and present results of its application, including an investigation of the volume preserving and multiphase motions.","authors_text":"Elliott Ginder, Karel Svadlenka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-08T09:25:39Z","title":"Wave-type threshold dynamics and the hyperbolic mean curvature flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01963","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":"sha256:379987d309696f5d6c856190719f76c13a36157acc63a4bb70436ed73463bf07","target":"record","created_at":"2026-05-18T02:16:38Z","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":"dbde3a2046c6c43ecf08fb60878a214fdb8afbf9645f1e746a80600e5cd45eae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-08T09:25:39Z","title_canon_sha256":"ec2f36a33c64ae84dbaeb1a479f1204b841a16a20b661e485670015bb5cf7ba2"},"schema_version":"1.0","source":{"id":"1505.01963","kind":"arxiv","version":1}},"canonical_sha256":"738c444ff4e6028efed4f473bf64ce2767d3a60ca03afd6e550186f4f2495c7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"738c444ff4e6028efed4f473bf64ce2767d3a60ca03afd6e550186f4f2495c7b","first_computed_at":"2026-05-18T02:16:38.334456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:38.334456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9ytUwVCcib/XznwtR+/SxlmgEsRSdf99lkO5cin31QERuBicviDzhIGKhCNqYdtIr8LS9fg9XGx04dN2ILlhBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:38.335100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.01963","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:379987d309696f5d6c856190719f76c13a36157acc63a4bb70436ed73463bf07","sha256:c0ee6c2c36a9878860322ed17c995142794fbd821fc15c870f3140417e412f1a"],"state_sha256":"3556a7e550324c1471a382673a1a0e3bf545d4338838f0adb7a5e87c6ec7d971"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gzskX25CF2vPyoUZ6Uwum1mStlcKkrjVlKvWwZhA0RJ1xda4VfgQIEDTGzqmgVasOPKEiXeUPRn4GtkhQ3L6Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T03:29:08.232216Z","bundle_sha256":"87637d1b449791b0b7386f8716af25b120d7f3afa8f1f9b84db8de91fe52a183"}}