{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6WE26XNCVQNEYXX46VNUGWJUFW","short_pith_number":"pith:6WE26XNC","canonical_record":{"source":{"id":"1212.6447","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-28T01:09:53Z","cross_cats_sorted":[],"title_canon_sha256":"03b6cb43cdbe9df8e60e3c47b1b3a3bfe3f78316aab51cd7dc0d9c9f48eedca8","abstract_canon_sha256":"962bf0d04f8e6bd77a215991cb377e5c52e6d927bd560e8b4b9fe28af91a1676"},"schema_version":"1.0"},"canonical_sha256":"f589af5da2ac1a4c5efcf55b4359342da671ee4f9c481868c8b2981e18728f7f","source":{"kind":"arxiv","id":"1212.6447","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6447","created_at":"2026-05-18T00:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6447v1","created_at":"2026-05-18T00:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6447","created_at":"2026-05-18T00:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"6WE26XNCVQNE","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6WE26XNCVQNEYXX4","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6WE26XNC","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6WE26XNCVQNEYXX46VNUGWJUFW","target":"record","payload":{"canonical_record":{"source":{"id":"1212.6447","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-28T01:09:53Z","cross_cats_sorted":[],"title_canon_sha256":"03b6cb43cdbe9df8e60e3c47b1b3a3bfe3f78316aab51cd7dc0d9c9f48eedca8","abstract_canon_sha256":"962bf0d04f8e6bd77a215991cb377e5c52e6d927bd560e8b4b9fe28af91a1676"},"schema_version":"1.0"},"canonical_sha256":"f589af5da2ac1a4c5efcf55b4359342da671ee4f9c481868c8b2981e18728f7f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:48.463838Z","signature_b64":"KeFwzfI4KU3+GGbOWLxSOD9eWMZVE19DAfWLqccMI4MYeg4X50MR+hW9iJqOPl3EGTTC5WXe/yvhksNCTlJzBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f589af5da2ac1a4c5efcf55b4359342da671ee4f9c481868c8b2981e18728f7f","last_reissued_at":"2026-05-18T00:54:48.463382Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:48.463382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.6447","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":"2026-05-18T00:54:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/XSGspSunKFj9zEs9mqBHTRwIDnomfyMWZQbxktNFPBWROPxEvEVKLhAjrjd8vqB+DsgpWqYJr/sjfEomPf0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:06:05.057491Z"},"content_sha256":"b233add14002541cfda971f74b6750a46347904132bcb6a50236d039d3667613","schema_version":"1.0","event_id":"sha256:b233add14002541cfda971f74b6750a46347904132bcb6a50236d039d3667613"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6WE26XNCVQNEYXX46VNUGWJUFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Singular limits for the two-phase Stefan problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gieri Simonett, Jan Pruess, Juergen Saal","submitted_at":"2012-12-28T01:09:53Z","abstract_excerpt":"We prove strong convergence to singular limits for a linearized fully inhomogeneous Stefan problem subject to surface tension and kinetic undercooling effects. Different combinations of $\\sigma \\to \\sigma_0$ and $\\delta \\to\\delta_0$, where $\\sigma,\\sigma_0 \\ge 0$ and $\\delta,\\delta_0 \\ge 0$ denote surface tension and kinetic undercooling coefficients respectively, altogether lead to five different types of singular limits. Their strong convergence is based on uniform maximal regularity estimates."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6447","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":"2026-05-18T00:54:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/cRyJzudXEHwYAwnLPvHJ3+z2usuK8gOw9diH0twTok+twJ/aoE3ups7uUdC04KettOvMoiV/et9QVARvbzJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:06:05.058587Z"},"content_sha256":"6ef90dc6de8ad422ed0b1a7158c586faaae30759496bec9a001b8fbf42e1ae7b","schema_version":"1.0","event_id":"sha256:6ef90dc6de8ad422ed0b1a7158c586faaae30759496bec9a001b8fbf42e1ae7b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6WE26XNCVQNEYXX46VNUGWJUFW/bundle.json","state_url":"https://pith.science/pith/6WE26XNCVQNEYXX46VNUGWJUFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6WE26XNCVQNEYXX46VNUGWJUFW/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":"2026-06-11T04:06:05Z","links":{"resolver":"https://pith.science/pith/6WE26XNCVQNEYXX46VNUGWJUFW","bundle":"https://pith.science/pith/6WE26XNCVQNEYXX46VNUGWJUFW/bundle.json","state":"https://pith.science/pith/6WE26XNCVQNEYXX46VNUGWJUFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6WE26XNCVQNEYXX46VNUGWJUFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6WE26XNCVQNEYXX46VNUGWJUFW","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":"962bf0d04f8e6bd77a215991cb377e5c52e6d927bd560e8b4b9fe28af91a1676","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-28T01:09:53Z","title_canon_sha256":"03b6cb43cdbe9df8e60e3c47b1b3a3bfe3f78316aab51cd7dc0d9c9f48eedca8"},"schema_version":"1.0","source":{"id":"1212.6447","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6447","created_at":"2026-05-18T00:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6447v1","created_at":"2026-05-18T00:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6447","created_at":"2026-05-18T00:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"6WE26XNCVQNE","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6WE26XNCVQNEYXX4","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6WE26XNC","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:6ef90dc6de8ad422ed0b1a7158c586faaae30759496bec9a001b8fbf42e1ae7b","target":"graph","created_at":"2026-05-18T00:54:48Z","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 prove strong convergence to singular limits for a linearized fully inhomogeneous Stefan problem subject to surface tension and kinetic undercooling effects. Different combinations of $\\sigma \\to \\sigma_0$ and $\\delta \\to\\delta_0$, where $\\sigma,\\sigma_0 \\ge 0$ and $\\delta,\\delta_0 \\ge 0$ denote surface tension and kinetic undercooling coefficients respectively, altogether lead to five different types of singular limits. Their strong convergence is based on uniform maximal regularity estimates.","authors_text":"Gieri Simonett, Jan Pruess, Juergen Saal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-28T01:09:53Z","title":"Singular limits for the two-phase Stefan problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6447","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:b233add14002541cfda971f74b6750a46347904132bcb6a50236d039d3667613","target":"record","created_at":"2026-05-18T00:54:48Z","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":"962bf0d04f8e6bd77a215991cb377e5c52e6d927bd560e8b4b9fe28af91a1676","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-12-28T01:09:53Z","title_canon_sha256":"03b6cb43cdbe9df8e60e3c47b1b3a3bfe3f78316aab51cd7dc0d9c9f48eedca8"},"schema_version":"1.0","source":{"id":"1212.6447","kind":"arxiv","version":1}},"canonical_sha256":"f589af5da2ac1a4c5efcf55b4359342da671ee4f9c481868c8b2981e18728f7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f589af5da2ac1a4c5efcf55b4359342da671ee4f9c481868c8b2981e18728f7f","first_computed_at":"2026-05-18T00:54:48.463382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:48.463382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KeFwzfI4KU3+GGbOWLxSOD9eWMZVE19DAfWLqccMI4MYeg4X50MR+hW9iJqOPl3EGTTC5WXe/yvhksNCTlJzBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:48.463838Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6447","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b233add14002541cfda971f74b6750a46347904132bcb6a50236d039d3667613","sha256:6ef90dc6de8ad422ed0b1a7158c586faaae30759496bec9a001b8fbf42e1ae7b"],"state_sha256":"967d5a3fceae84fa4c40302c2b56e2557fe8387fe97579ea545d1dc020cac5d0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MmnEr7KRwzgQOx6W0jWwEorXzCnwsEKLrw++D6mt8LQbn+AmKO9Ucmhz26OMbxsZpNitQzrLDZ9YKsouL6DlCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T04:06:05.062252Z","bundle_sha256":"3a3500c8598b8bc8f6c1ba2e0862df752349264430bad1e34c96213546c23532"}}