{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MLK7OPVTXYDUQPUGA4TWSUFI3O","short_pith_number":"pith:MLK7OPVT","canonical_record":{"source":{"id":"1705.10832","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-30T19:23:45Z","cross_cats_sorted":[],"title_canon_sha256":"d52afc8bf8404cd105e359076fac0587f9d172f28a783269c42c65274ec3ca13","abstract_canon_sha256":"4bbc6c21649cf9c14622c4cbebca13b1548606a5e080ad265a451cad4eeca710"},"schema_version":"1.0"},"canonical_sha256":"62d5f73eb3be07483e8607276950a8dba4fb3df49d95e0c730f9f7f5c24dab19","source":{"kind":"arxiv","id":"1705.10832","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10832","created_at":"2026-05-18T00:43:20Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10832v1","created_at":"2026-05-18T00:43:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10832","created_at":"2026-05-18T00:43:20Z"},{"alias_kind":"pith_short_12","alias_value":"MLK7OPVTXYDU","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MLK7OPVTXYDUQPUG","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MLK7OPVT","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MLK7OPVTXYDUQPUGA4TWSUFI3O","target":"record","payload":{"canonical_record":{"source":{"id":"1705.10832","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-30T19:23:45Z","cross_cats_sorted":[],"title_canon_sha256":"d52afc8bf8404cd105e359076fac0587f9d172f28a783269c42c65274ec3ca13","abstract_canon_sha256":"4bbc6c21649cf9c14622c4cbebca13b1548606a5e080ad265a451cad4eeca710"},"schema_version":"1.0"},"canonical_sha256":"62d5f73eb3be07483e8607276950a8dba4fb3df49d95e0c730f9f7f5c24dab19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:20.100130Z","signature_b64":"jskWp04Cl12+1JnYm9tnrxaga+IW+zGd1NjSg5ct2bYh064zvKW/cY6EZrBlh/5gxHsjtFAhGLAIuO8wVwatCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62d5f73eb3be07483e8607276950a8dba4fb3df49d95e0c730f9f7f5c24dab19","last_reissued_at":"2026-05-18T00:43:20.099549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:20.099549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.10832","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":"2026-05-18T00:43:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e+CY+HpTL3hXqKq6DhfMoIQ+kgDH8jR5JY7Tpers3d7UmzJPdd1kF8iBlmn7kFFu7ijvXKDtjdvl5+s4f6NzBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:18:48.069747Z"},"content_sha256":"da0472211d3be808645b971b0046a40d168ff304fa06e4f3b97e57a1982c7245","schema_version":"1.0","event_id":"sha256:da0472211d3be808645b971b0046a40d168ff304fa06e4f3b97e57a1982c7245"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MLK7OPVTXYDUQPUGA4TWSUFI3O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Well-Posedness of a Navier-Stokes/Mean Curvature Flow system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Helmut Abels, Maximilian Moser","submitted_at":"2017-05-30T19:23:45Z","abstract_excerpt":"We consider a two-phase flow of two incompressible, viscous and immiscible fluids which are separated by a sharp interface in the case of a simple phase transition. In this model the interface is no longer material and its evolution is governed by a convective mean curvature flow equation, which is coupled to a two-phase Navier-Stokes equation with Young-Laplace law. The problem arises as a sharp interface limit of a diffuse interface model, which consists of a Navier-Stokes system coupled with an Allen-Cahn equation. We prove existence of strong solutions for sufficiently small times and regu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10832","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":"2026-05-18T00:43:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xK+p+Ll8aevYO+EjKXyZElSf+ZuEN97Sd75vkiO9B9BU0+WM/OETbdXC+91dtue575G1HmskbezPu1mLy1Z5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:18:48.070087Z"},"content_sha256":"2b7a1b285392c6c024d7969af6c2eb5ff2dd06421fe71230e56a218aa9769c27","schema_version":"1.0","event_id":"sha256:2b7a1b285392c6c024d7969af6c2eb5ff2dd06421fe71230e56a218aa9769c27"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MLK7OPVTXYDUQPUGA4TWSUFI3O/bundle.json","state_url":"https://pith.science/pith/MLK7OPVTXYDUQPUGA4TWSUFI3O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MLK7OPVTXYDUQPUGA4TWSUFI3O/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":"2026-06-01T09:18:48Z","links":{"resolver":"https://pith.science/pith/MLK7OPVTXYDUQPUGA4TWSUFI3O","bundle":"https://pith.science/pith/MLK7OPVTXYDUQPUGA4TWSUFI3O/bundle.json","state":"https://pith.science/pith/MLK7OPVTXYDUQPUGA4TWSUFI3O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MLK7OPVTXYDUQPUGA4TWSUFI3O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MLK7OPVTXYDUQPUGA4TWSUFI3O","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":"4bbc6c21649cf9c14622c4cbebca13b1548606a5e080ad265a451cad4eeca710","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-30T19:23:45Z","title_canon_sha256":"d52afc8bf8404cd105e359076fac0587f9d172f28a783269c42c65274ec3ca13"},"schema_version":"1.0","source":{"id":"1705.10832","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10832","created_at":"2026-05-18T00:43:20Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10832v1","created_at":"2026-05-18T00:43:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10832","created_at":"2026-05-18T00:43:20Z"},{"alias_kind":"pith_short_12","alias_value":"MLK7OPVTXYDU","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MLK7OPVTXYDUQPUG","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MLK7OPVT","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:2b7a1b285392c6c024d7969af6c2eb5ff2dd06421fe71230e56a218aa9769c27","target":"graph","created_at":"2026-05-18T00:43:20Z","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 consider a two-phase flow of two incompressible, viscous and immiscible fluids which are separated by a sharp interface in the case of a simple phase transition. In this model the interface is no longer material and its evolution is governed by a convective mean curvature flow equation, which is coupled to a two-phase Navier-Stokes equation with Young-Laplace law. The problem arises as a sharp interface limit of a diffuse interface model, which consists of a Navier-Stokes system coupled with an Allen-Cahn equation. We prove existence of strong solutions for sufficiently small times and regu","authors_text":"Helmut Abels, Maximilian Moser","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-30T19:23:45Z","title":"Well-Posedness of a Navier-Stokes/Mean Curvature Flow system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10832","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:da0472211d3be808645b971b0046a40d168ff304fa06e4f3b97e57a1982c7245","target":"record","created_at":"2026-05-18T00:43:20Z","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":"4bbc6c21649cf9c14622c4cbebca13b1548606a5e080ad265a451cad4eeca710","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-30T19:23:45Z","title_canon_sha256":"d52afc8bf8404cd105e359076fac0587f9d172f28a783269c42c65274ec3ca13"},"schema_version":"1.0","source":{"id":"1705.10832","kind":"arxiv","version":1}},"canonical_sha256":"62d5f73eb3be07483e8607276950a8dba4fb3df49d95e0c730f9f7f5c24dab19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62d5f73eb3be07483e8607276950a8dba4fb3df49d95e0c730f9f7f5c24dab19","first_computed_at":"2026-05-18T00:43:20.099549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:20.099549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jskWp04Cl12+1JnYm9tnrxaga+IW+zGd1NjSg5ct2bYh064zvKW/cY6EZrBlh/5gxHsjtFAhGLAIuO8wVwatCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:20.100130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.10832","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da0472211d3be808645b971b0046a40d168ff304fa06e4f3b97e57a1982c7245","sha256:2b7a1b285392c6c024d7969af6c2eb5ff2dd06421fe71230e56a218aa9769c27"],"state_sha256":"d6acf6dae0677f3e19f35d2eb3b374d01c1b100e110e75348578137a81479083"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xGkzy0RXOTx1otKaSzOKQmx8WOJgkViVVb1+ooprcd9F6tqSnqilIahJxKgxv30dMWEc0+RGHpL6UT8/DgHVBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T09:18:48.072419Z","bundle_sha256":"ca920826168fbbbbf5e6cdb987db1ecdb5ba4c68a72fe2d18dcf706f7401a951"}}