{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3CEJT5EQTN33ROKUSREK2C3BVQ","short_pith_number":"pith:3CEJT5EQ","canonical_record":{"source":{"id":"1311.3985","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-15T21:36:29Z","cross_cats_sorted":[],"title_canon_sha256":"76d204fd2c2ca1dea68c91800f5f1c69a1a9d6f4deb5237924340aa4c02815af","abstract_canon_sha256":"2cdf6aeede26bfad1104df4df64fc75a51136a7d1670060be2da38ea0250fd0b"},"schema_version":"1.0"},"canonical_sha256":"d88899f4909b77b8b9549448ad0b61ac030e6cc98da666334ec9248a863b5ecf","source":{"kind":"arxiv","id":"1311.3985","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3985","created_at":"2026-05-18T01:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3985v3","created_at":"2026-05-18T01:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3985","created_at":"2026-05-18T01:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"3CEJT5EQTN33","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3CEJT5EQTN33ROKU","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3CEJT5EQ","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3CEJT5EQTN33ROKUSREK2C3BVQ","target":"record","payload":{"canonical_record":{"source":{"id":"1311.3985","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-15T21:36:29Z","cross_cats_sorted":[],"title_canon_sha256":"76d204fd2c2ca1dea68c91800f5f1c69a1a9d6f4deb5237924340aa4c02815af","abstract_canon_sha256":"2cdf6aeede26bfad1104df4df64fc75a51136a7d1670060be2da38ea0250fd0b"},"schema_version":"1.0"},"canonical_sha256":"d88899f4909b77b8b9549448ad0b61ac030e6cc98da666334ec9248a863b5ecf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:20.947990Z","signature_b64":"RujxpdNGs5aP1GSgc5ZYVX71h9iKhpRYmtCrPUL8DnRge1Wl2MW8LZjBDnxh6S/cnHspeiAILd+jd/69VwFsBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d88899f4909b77b8b9549448ad0b61ac030e6cc98da666334ec9248a863b5ecf","last_reissued_at":"2026-05-18T01:36:20.947361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:20.947361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.3985","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3cZHs0k7ZB3nccZOulsdmDhV06O7qA7j31tjGDRj0CxC+qxIkm4JQrARx3OYgGiEqiA+5/sbDDqacikQ+fXbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:43:23.593967Z"},"content_sha256":"55fb6c91f895abd850e482705ddd32a5e9946d4405ddd9d00b41dae75bba3681","schema_version":"1.0","event_id":"sha256:55fb6c91f895abd850e482705ddd32a5e9946d4405ddd9d00b41dae75bba3681"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3CEJT5EQTN33ROKUSREK2C3BVQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Subsonic-sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Fei-Min Huang, Gui-Qiang G. Chen, Tian-Yi Wang","submitted_at":"2013-11-15T21:36:29Z","abstract_excerpt":"A compactness framework is established for approximate solutions to subsonic-sonic flows governed by the steady full Euler equations for compressible fluids in arbitrary dimension. The existing compactness frameworks for the two-dimensional irrotational case do not directly apply for the steady full Euler equations in higher dimensions. The new compactness framework we develop applies for both non-homentropic and rotational flows. One of our main observations is that the compactness can be achieved by using only natural weak estimates for the mass balance and the vorticity, along with the Bern"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3985","kind":"arxiv","version":3},"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":"2026-05-18T01:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bVwSERw1YmsweOVpN0PceQVBCpLAudDbljkjB6qcpoLp9UKHvf/RmTyfBl/FnKDQXmB5WIrDncsdKjfc/zXZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:43:23.594327Z"},"content_sha256":"3c49c8bd3db63b31d304f0e7a024069a929979dd6bd975b9bb1ef694fd3d618d","schema_version":"1.0","event_id":"sha256:3c49c8bd3db63b31d304f0e7a024069a929979dd6bd975b9bb1ef694fd3d618d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3CEJT5EQTN33ROKUSREK2C3BVQ/bundle.json","state_url":"https://pith.science/pith/3CEJT5EQTN33ROKUSREK2C3BVQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3CEJT5EQTN33ROKUSREK2C3BVQ/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":"2026-06-05T10:43:23Z","links":{"resolver":"https://pith.science/pith/3CEJT5EQTN33ROKUSREK2C3BVQ","bundle":"https://pith.science/pith/3CEJT5EQTN33ROKUSREK2C3BVQ/bundle.json","state":"https://pith.science/pith/3CEJT5EQTN33ROKUSREK2C3BVQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3CEJT5EQTN33ROKUSREK2C3BVQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3CEJT5EQTN33ROKUSREK2C3BVQ","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":"2cdf6aeede26bfad1104df4df64fc75a51136a7d1670060be2da38ea0250fd0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-15T21:36:29Z","title_canon_sha256":"76d204fd2c2ca1dea68c91800f5f1c69a1a9d6f4deb5237924340aa4c02815af"},"schema_version":"1.0","source":{"id":"1311.3985","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3985","created_at":"2026-05-18T01:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3985v3","created_at":"2026-05-18T01:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3985","created_at":"2026-05-18T01:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"3CEJT5EQTN33","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3CEJT5EQTN33ROKU","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3CEJT5EQ","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:3c49c8bd3db63b31d304f0e7a024069a929979dd6bd975b9bb1ef694fd3d618d","target":"graph","created_at":"2026-05-18T01:36:20Z","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":"A compactness framework is established for approximate solutions to subsonic-sonic flows governed by the steady full Euler equations for compressible fluids in arbitrary dimension. The existing compactness frameworks for the two-dimensional irrotational case do not directly apply for the steady full Euler equations in higher dimensions. The new compactness framework we develop applies for both non-homentropic and rotational flows. One of our main observations is that the compactness can be achieved by using only natural weak estimates for the mass balance and the vorticity, along with the Bern","authors_text":"Fei-Min Huang, Gui-Qiang G. Chen, Tian-Yi Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-15T21:36:29Z","title":"Subsonic-sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3985","kind":"arxiv","version":3},"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":"sha256:55fb6c91f895abd850e482705ddd32a5e9946d4405ddd9d00b41dae75bba3681","target":"record","created_at":"2026-05-18T01:36:20Z","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":"2cdf6aeede26bfad1104df4df64fc75a51136a7d1670060be2da38ea0250fd0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-15T21:36:29Z","title_canon_sha256":"76d204fd2c2ca1dea68c91800f5f1c69a1a9d6f4deb5237924340aa4c02815af"},"schema_version":"1.0","source":{"id":"1311.3985","kind":"arxiv","version":3}},"canonical_sha256":"d88899f4909b77b8b9549448ad0b61ac030e6cc98da666334ec9248a863b5ecf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d88899f4909b77b8b9549448ad0b61ac030e6cc98da666334ec9248a863b5ecf","first_computed_at":"2026-05-18T01:36:20.947361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:20.947361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RujxpdNGs5aP1GSgc5ZYVX71h9iKhpRYmtCrPUL8DnRge1Wl2MW8LZjBDnxh6S/cnHspeiAILd+jd/69VwFsBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:20.947990Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3985","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55fb6c91f895abd850e482705ddd32a5e9946d4405ddd9d00b41dae75bba3681","sha256:3c49c8bd3db63b31d304f0e7a024069a929979dd6bd975b9bb1ef694fd3d618d"],"state_sha256":"b2b4df8fa187861e3a4f60b381f83e7e677df521fedfa8d8239528b0a73ade81"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2bbLJCx9YaYCDr+N3qWmCsedOTNW4S8JSz7bij9RfZ1mBUvax2Wq9yd7BBmdivt9Y3fYbB4YCNPWQsk0MhMRCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:43:23.596277Z","bundle_sha256":"549b7b574ca350a99a5ed7e6732c651c063bb2e6297441aa2ed42c30ff82aa7f"}}