{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:ICRFYPYYHGG7FIH7ERIGZP7SDV","short_pith_number":"pith:ICRFYPYY","canonical_record":{"source":{"id":"2103.01465","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2021-03-02T04:35:43Z","cross_cats_sorted":[],"title_canon_sha256":"ecf7f27f7461536807c85b704a948bde69cc33dd5375808cd7e351960ea371cb","abstract_canon_sha256":"9b9fe95cb207119fc9248d8cd86d30350f87bf8ea1a3eb59a0730f45c02da550"},"schema_version":"1.0"},"canonical_sha256":"40a25c3f18398df2a0ff24506cbff21d535a75973c9805ab4b001dedd1e4d1d8","source":{"kind":"arxiv","id":"2103.01465","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.01465","created_at":"2026-07-05T02:19:18Z"},{"alias_kind":"arxiv_version","alias_value":"2103.01465v1","created_at":"2026-07-05T02:19:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.01465","created_at":"2026-07-05T02:19:18Z"},{"alias_kind":"pith_short_12","alias_value":"ICRFYPYYHGG7","created_at":"2026-07-05T02:19:18Z"},{"alias_kind":"pith_short_16","alias_value":"ICRFYPYYHGG7FIH7","created_at":"2026-07-05T02:19:18Z"},{"alias_kind":"pith_short_8","alias_value":"ICRFYPYY","created_at":"2026-07-05T02:19:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:ICRFYPYYHGG7FIH7ERIGZP7SDV","target":"record","payload":{"canonical_record":{"source":{"id":"2103.01465","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2021-03-02T04:35:43Z","cross_cats_sorted":[],"title_canon_sha256":"ecf7f27f7461536807c85b704a948bde69cc33dd5375808cd7e351960ea371cb","abstract_canon_sha256":"9b9fe95cb207119fc9248d8cd86d30350f87bf8ea1a3eb59a0730f45c02da550"},"schema_version":"1.0"},"canonical_sha256":"40a25c3f18398df2a0ff24506cbff21d535a75973c9805ab4b001dedd1e4d1d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:19:18.459197Z","signature_b64":"MHom6oid93kPBeeYF13RxXynWEUri70lDcYZeronwdkv4iDK5LrGGDXLHdyF1Hs6/wRtELa2ogRPuo4EfCX1Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40a25c3f18398df2a0ff24506cbff21d535a75973c9805ab4b001dedd1e4d1d8","last_reissued_at":"2026-07-05T02:19:18.458849Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:19:18.458849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.01465","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":"2026-07-05T02:19:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u+m9aVoR1A0EO1s7CWwOFit8hNhF1WOWjpk+AY2rwwo8BWK1KH8gUnZfNb8Xj5XeeOddbSQ8NP02EAuQfi/qDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T11:42:31.515783Z"},"content_sha256":"36ed9874f632d42c576e3d029ee3a23c4dc786d5fb1a3ef1a313011afa8c8821","schema_version":"1.0","event_id":"sha256:36ed9874f632d42c576e3d029ee3a23c4dc786d5fb1a3ef1a313011afa8c8821"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:ICRFYPYYHGG7FIH7ERIGZP7SDV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-dimensional supersonic flows of Euler-Poisson system for potential flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hyangdong Park, Myoungjean Bae","submitted_at":"2021-03-02T04:35:43Z","abstract_excerpt":"We prove the unique existence of supersonic solutions of the Euler- Poisson system for potential flow in a three-dimensional rectangular cylinder when prescribing the velocity and the strength of electric field at the entrance. Overall, the main framework is similar to [1], but there are several technical differences to be taken care of vary carefully. And, it is our main goal to treat all the technical differences occurring when one considers a three dimensional supersonic solution of the steady Euler-Poisson system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.01465","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.01465/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:19:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gJ2s1/f+qlFsJEMAy7+Nfif7/QVRd59+YAlJXbST+PGKCqVtG7ol/nScQ9f2GBefxE/yIWJGZNBpKTZqALVgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T11:42:31.516153Z"},"content_sha256":"4ee8031cffef45cc1f53cd857a08306f3cb25e971e79b6a3002b5bcd5a3d1c62","schema_version":"1.0","event_id":"sha256:4ee8031cffef45cc1f53cd857a08306f3cb25e971e79b6a3002b5bcd5a3d1c62"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ICRFYPYYHGG7FIH7ERIGZP7SDV/bundle.json","state_url":"https://pith.science/pith/ICRFYPYYHGG7FIH7ERIGZP7SDV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ICRFYPYYHGG7FIH7ERIGZP7SDV/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":"2026-07-05T11:42:31Z","links":{"resolver":"https://pith.science/pith/ICRFYPYYHGG7FIH7ERIGZP7SDV","bundle":"https://pith.science/pith/ICRFYPYYHGG7FIH7ERIGZP7SDV/bundle.json","state":"https://pith.science/pith/ICRFYPYYHGG7FIH7ERIGZP7SDV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ICRFYPYYHGG7FIH7ERIGZP7SDV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ICRFYPYYHGG7FIH7ERIGZP7SDV","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":"9b9fe95cb207119fc9248d8cd86d30350f87bf8ea1a3eb59a0730f45c02da550","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2021-03-02T04:35:43Z","title_canon_sha256":"ecf7f27f7461536807c85b704a948bde69cc33dd5375808cd7e351960ea371cb"},"schema_version":"1.0","source":{"id":"2103.01465","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.01465","created_at":"2026-07-05T02:19:18Z"},{"alias_kind":"arxiv_version","alias_value":"2103.01465v1","created_at":"2026-07-05T02:19:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.01465","created_at":"2026-07-05T02:19:18Z"},{"alias_kind":"pith_short_12","alias_value":"ICRFYPYYHGG7","created_at":"2026-07-05T02:19:18Z"},{"alias_kind":"pith_short_16","alias_value":"ICRFYPYYHGG7FIH7","created_at":"2026-07-05T02:19:18Z"},{"alias_kind":"pith_short_8","alias_value":"ICRFYPYY","created_at":"2026-07-05T02:19:18Z"}],"graph_snapshots":[{"event_id":"sha256:4ee8031cffef45cc1f53cd857a08306f3cb25e971e79b6a3002b5bcd5a3d1c62","target":"graph","created_at":"2026-07-05T02:19:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2103.01465/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the unique existence of supersonic solutions of the Euler- Poisson system for potential flow in a three-dimensional rectangular cylinder when prescribing the velocity and the strength of electric field at the entrance. Overall, the main framework is similar to [1], but there are several technical differences to be taken care of vary carefully. And, it is our main goal to treat all the technical differences occurring when one considers a three dimensional supersonic solution of the steady Euler-Poisson system.","authors_text":"Hyangdong Park, Myoungjean Bae","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2021-03-02T04:35:43Z","title":"Three-dimensional supersonic flows of Euler-Poisson system for potential flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.01465","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":"sha256:36ed9874f632d42c576e3d029ee3a23c4dc786d5fb1a3ef1a313011afa8c8821","target":"record","created_at":"2026-07-05T02:19:18Z","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":"9b9fe95cb207119fc9248d8cd86d30350f87bf8ea1a3eb59a0730f45c02da550","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2021-03-02T04:35:43Z","title_canon_sha256":"ecf7f27f7461536807c85b704a948bde69cc33dd5375808cd7e351960ea371cb"},"schema_version":"1.0","source":{"id":"2103.01465","kind":"arxiv","version":1}},"canonical_sha256":"40a25c3f18398df2a0ff24506cbff21d535a75973c9805ab4b001dedd1e4d1d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40a25c3f18398df2a0ff24506cbff21d535a75973c9805ab4b001dedd1e4d1d8","first_computed_at":"2026-07-05T02:19:18.458849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:19:18.458849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MHom6oid93kPBeeYF13RxXynWEUri70lDcYZeronwdkv4iDK5LrGGDXLHdyF1Hs6/wRtELa2ogRPuo4EfCX1Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:19:18.459197Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.01465","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36ed9874f632d42c576e3d029ee3a23c4dc786d5fb1a3ef1a313011afa8c8821","sha256:4ee8031cffef45cc1f53cd857a08306f3cb25e971e79b6a3002b5bcd5a3d1c62"],"state_sha256":"edfd9ba71ef76381183cefd7ca9a909d8b0e878c47c1cab324f28616664f57cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iTgUuPLtfZibBI6MvaR2MEwZMp7TPuJ4IqF/vrvcR6+4A4P2TN39uI/+4vs+84ARTWSYgAir+4LLBxT4ftuhDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T11:42:31.519179Z","bundle_sha256":"5fde2b8fbf5102fefe639466c1ae7e841353bddaf4cd0b14e319c7a9852216f2"}}