{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WGLACXWVTFLLXMEMPRW3OQKFDR","short_pith_number":"pith:WGLACXWV","canonical_record":{"source":{"id":"1309.4023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-16T16:28:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"69b40c7d353a05b623e201c62a034e74706185b9ac30fc0cad4bc6e1a457c664","abstract_canon_sha256":"8f86bb12a9d445e721cfe45d4ad28027db335c162b4d53a468b723bb228eedd3"},"schema_version":"1.0"},"canonical_sha256":"b196015ed59956bbb08c7c6db741451c44366973ae380bb20add735db7768312","source":{"kind":"arxiv","id":"1309.4023","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4023","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4023v1","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4023","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"WGLACXWVTFLL","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WGLACXWVTFLLXMEM","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WGLACXWV","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WGLACXWVTFLLXMEMPRW3OQKFDR","target":"record","payload":{"canonical_record":{"source":{"id":"1309.4023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-16T16:28:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"69b40c7d353a05b623e201c62a034e74706185b9ac30fc0cad4bc6e1a457c664","abstract_canon_sha256":"8f86bb12a9d445e721cfe45d4ad28027db335c162b4d53a468b723bb228eedd3"},"schema_version":"1.0"},"canonical_sha256":"b196015ed59956bbb08c7c6db741451c44366973ae380bb20add735db7768312","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:22.454659Z","signature_b64":"eaQ2zZVw0v17R+B0SL0GPEbBxPbaFy4E+aGmkTOMAQBuZHDYvcG4jhm0+RK78toIajVVM6ZRpmZ0Gwx/WW6+Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b196015ed59956bbb08c7c6db741451c44366973ae380bb20add735db7768312","last_reissued_at":"2026-05-18T01:20:22.454124Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:22.454124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.4023","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":"2026-05-18T01:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ZYc4b5shc/ufjDydxjVrDBXu9Xppjb0FjE2OsbBoVdHgrfQ/11qAHHsVgtoipFF9c2EAEUR05E/RXfTNmK4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T22:43:56.292343Z"},"content_sha256":"4b65c366312a32f3f28bb5d07ce3d0157c0da9929a062f18214b2843d8aa353b","schema_version":"1.0","event_id":"sha256:4b65c366312a32f3f28bb5d07ce3d0157c0da9929a062f18214b2843d8aa353b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WGLACXWVTFLLXMEMPRW3OQKFDR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Absence of splash singularities for SQG sharp fronts and the Muskat problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Francisco Gancedo, Robert M. Strain","submitted_at":"2013-09-16T16:28:18Z","abstract_excerpt":"In this paper for either the sharp front Surface Quasi-Geostrophic equation or the Muskat problem we rule out the \"splash singularity\" blow-up scenario; in other words we prove that the contours evolving from either of these systems can not intersect at a single point while the free boundary remains smooth. Splash singularities have been shown to hold for the free boundary incompressible Euler equation in the form of the water waves contour evolution problem \\cite{ADCPJ}. Our result confirms the numerical simulations in \\cite{CFMR} where it is shown that the curvature blows up due to the conto"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4023","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":"2026-05-18T01:20:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9a87SJPx4zOP5AeT+zfNOFAGyZvMqidBCuJVu10EfEWg4Sk73yv1lxo9jjthVna96ykS44hN1+nwWxQZ6nM6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T22:43:56.292716Z"},"content_sha256":"fd7921ae860fdfdbd8d2006f398399da242fe027d4f71651f41e9d74b22d267b","schema_version":"1.0","event_id":"sha256:fd7921ae860fdfdbd8d2006f398399da242fe027d4f71651f41e9d74b22d267b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WGLACXWVTFLLXMEMPRW3OQKFDR/bundle.json","state_url":"https://pith.science/pith/WGLACXWVTFLLXMEMPRW3OQKFDR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WGLACXWVTFLLXMEMPRW3OQKFDR/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":"2026-05-29T22:43:56Z","links":{"resolver":"https://pith.science/pith/WGLACXWVTFLLXMEMPRW3OQKFDR","bundle":"https://pith.science/pith/WGLACXWVTFLLXMEMPRW3OQKFDR/bundle.json","state":"https://pith.science/pith/WGLACXWVTFLLXMEMPRW3OQKFDR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WGLACXWVTFLLXMEMPRW3OQKFDR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WGLACXWVTFLLXMEMPRW3OQKFDR","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":"8f86bb12a9d445e721cfe45d4ad28027db335c162b4d53a468b723bb228eedd3","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-16T16:28:18Z","title_canon_sha256":"69b40c7d353a05b623e201c62a034e74706185b9ac30fc0cad4bc6e1a457c664"},"schema_version":"1.0","source":{"id":"1309.4023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4023","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4023v1","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4023","created_at":"2026-05-18T01:20:22Z"},{"alias_kind":"pith_short_12","alias_value":"WGLACXWVTFLL","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WGLACXWVTFLLXMEM","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WGLACXWV","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:fd7921ae860fdfdbd8d2006f398399da242fe027d4f71651f41e9d74b22d267b","target":"graph","created_at":"2026-05-18T01:20:22Z","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":"In this paper for either the sharp front Surface Quasi-Geostrophic equation or the Muskat problem we rule out the \"splash singularity\" blow-up scenario; in other words we prove that the contours evolving from either of these systems can not intersect at a single point while the free boundary remains smooth. Splash singularities have been shown to hold for the free boundary incompressible Euler equation in the form of the water waves contour evolution problem \\cite{ADCPJ}. Our result confirms the numerical simulations in \\cite{CFMR} where it is shown that the curvature blows up due to the conto","authors_text":"Francisco Gancedo, Robert M. Strain","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-16T16:28:18Z","title":"Absence of splash singularities for SQG sharp fronts and the Muskat problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4023","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":"sha256:4b65c366312a32f3f28bb5d07ce3d0157c0da9929a062f18214b2843d8aa353b","target":"record","created_at":"2026-05-18T01:20:22Z","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":"8f86bb12a9d445e721cfe45d4ad28027db335c162b4d53a468b723bb228eedd3","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-16T16:28:18Z","title_canon_sha256":"69b40c7d353a05b623e201c62a034e74706185b9ac30fc0cad4bc6e1a457c664"},"schema_version":"1.0","source":{"id":"1309.4023","kind":"arxiv","version":1}},"canonical_sha256":"b196015ed59956bbb08c7c6db741451c44366973ae380bb20add735db7768312","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b196015ed59956bbb08c7c6db741451c44366973ae380bb20add735db7768312","first_computed_at":"2026-05-18T01:20:22.454124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:22.454124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eaQ2zZVw0v17R+B0SL0GPEbBxPbaFy4E+aGmkTOMAQBuZHDYvcG4jhm0+RK78toIajVVM6ZRpmZ0Gwx/WW6+Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:22.454659Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b65c366312a32f3f28bb5d07ce3d0157c0da9929a062f18214b2843d8aa353b","sha256:fd7921ae860fdfdbd8d2006f398399da242fe027d4f71651f41e9d74b22d267b"],"state_sha256":"8c625f77362b2a339bbebca653689b93d28380bf6e93819560861f28b8689b59"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0fAsAOUb25a2Za6iU0rHEXMZQMgq619f6wqtWd9ke5d25uT6/sIzhtNW/5nWLjoh84PoswPlkrdPWCLaJa7fDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T22:43:56.295643Z","bundle_sha256":"67b2ba1b693c5be261a08aba8a33179d9c26084ecd3bf6ea12e8f863a7d5607a"}}