{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:6UN2AH222RCVAPHA7JKD34I4PX","short_pith_number":"pith:6UN2AH22","canonical_record":{"source":{"id":"2501.01165","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-01-02T09:38:06Z","cross_cats_sorted":[],"title_canon_sha256":"07fb86f14f9109f9b92e16772b9b7a5f48e19cf709a6b99c9374cfac9bc98248","abstract_canon_sha256":"89ff8eee2af0188e170988d86f5bd970fd8f758562d5ad715e7b05daa7e394ca"},"schema_version":"1.0"},"canonical_sha256":"f51ba01f5ad445503ce0fa543df11c7dea31dba4c449e8c82041bbdb94d7f085","source":{"kind":"arxiv","id":"2501.01165","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.01165","created_at":"2026-07-05T09:56:15Z"},{"alias_kind":"arxiv_version","alias_value":"2501.01165v1","created_at":"2026-07-05T09:56:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.01165","created_at":"2026-07-05T09:56:15Z"},{"alias_kind":"pith_short_12","alias_value":"6UN2AH222RCV","created_at":"2026-07-05T09:56:15Z"},{"alias_kind":"pith_short_16","alias_value":"6UN2AH222RCVAPHA","created_at":"2026-07-05T09:56:15Z"},{"alias_kind":"pith_short_8","alias_value":"6UN2AH22","created_at":"2026-07-05T09:56:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:6UN2AH222RCVAPHA7JKD34I4PX","target":"record","payload":{"canonical_record":{"source":{"id":"2501.01165","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-01-02T09:38:06Z","cross_cats_sorted":[],"title_canon_sha256":"07fb86f14f9109f9b92e16772b9b7a5f48e19cf709a6b99c9374cfac9bc98248","abstract_canon_sha256":"89ff8eee2af0188e170988d86f5bd970fd8f758562d5ad715e7b05daa7e394ca"},"schema_version":"1.0"},"canonical_sha256":"f51ba01f5ad445503ce0fa543df11c7dea31dba4c449e8c82041bbdb94d7f085","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:56:15.775703Z","signature_b64":"z2LMaX5owwCKHTyrAmqRaBucvNmwXVu7EjJXDm3rkA7/8Pu3pEFyCNdYuQdXwRa75IXBYfr47p9GGKPk9Ci/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f51ba01f5ad445503ce0fa543df11c7dea31dba4c449e8c82041bbdb94d7f085","last_reissued_at":"2026-07-05T09:56:15.775274Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:56:15.775274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.01165","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":"2026-07-05T09:56:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iLyDT+LwrazC/0fmGsY1jmx6lPUirSVOKg10pkmXRe+nhWhNQN7EojAQc6aw1T/Pp20ZzIZ7RH4xAisiHM6YCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T20:15:13.898572Z"},"content_sha256":"2d69b9493aed7f5502913859ef5b9ececbc085c734bf7d1e380afbbcedcf7465","schema_version":"1.0","event_id":"sha256:2d69b9493aed7f5502913859ef5b9ececbc085c734bf7d1e380afbbcedcf7465"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:6UN2AH222RCVAPHA7JKD34I4PX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solving all laminar flows around airfoils all-at-once using a parametric neural network solver","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Qianhong Ma, Shixiang Tang, Wanli Ouyang, Weiwei Zhang, Wenbo Cao","submitted_at":"2025-01-02T09:38:06Z","abstract_excerpt":"Recent years have witnessed increasing research interests of physics-informed neural networks (PINNs) in solving forward, inverse, and parametric problems governed by partial differential equations (PDEs). Despite their promise, PINNs still face significant challenges in many scenarios due to ill-conditioning. Time-stepping-oriented neural network (TSONN) addresses this by reformulating the ill-conditioned optimization problem into a series of well-conditioned sub-problems, greatly improving its ability to handle complex scenarios. This paper presents a new solver for laminar flow around airfo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.01165","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/2501.01165/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":"2026-07-05T09:56:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aXsa5k75LCqNUIgjvJ3J22v8ZcGgoVvFydK0NwGRKFd5UmifCHnYJ/r8Lg/raq4DIqSJ2Pn0+wfKwZXXDtHoBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T20:15:13.899051Z"},"content_sha256":"fb78c67fa944bca62c6493e232da2b72767b94f38ac0c0ca846b6391c8865c9e","schema_version":"1.0","event_id":"sha256:fb78c67fa944bca62c6493e232da2b72767b94f38ac0c0ca846b6391c8865c9e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6UN2AH222RCVAPHA7JKD34I4PX/bundle.json","state_url":"https://pith.science/pith/6UN2AH222RCVAPHA7JKD34I4PX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6UN2AH222RCVAPHA7JKD34I4PX/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":"2026-08-05T20:15:13Z","links":{"resolver":"https://pith.science/pith/6UN2AH222RCVAPHA7JKD34I4PX","bundle":"https://pith.science/pith/6UN2AH222RCVAPHA7JKD34I4PX/bundle.json","state":"https://pith.science/pith/6UN2AH222RCVAPHA7JKD34I4PX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6UN2AH222RCVAPHA7JKD34I4PX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6UN2AH222RCVAPHA7JKD34I4PX","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":"89ff8eee2af0188e170988d86f5bd970fd8f758562d5ad715e7b05daa7e394ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-01-02T09:38:06Z","title_canon_sha256":"07fb86f14f9109f9b92e16772b9b7a5f48e19cf709a6b99c9374cfac9bc98248"},"schema_version":"1.0","source":{"id":"2501.01165","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.01165","created_at":"2026-07-05T09:56:15Z"},{"alias_kind":"arxiv_version","alias_value":"2501.01165v1","created_at":"2026-07-05T09:56:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.01165","created_at":"2026-07-05T09:56:15Z"},{"alias_kind":"pith_short_12","alias_value":"6UN2AH222RCV","created_at":"2026-07-05T09:56:15Z"},{"alias_kind":"pith_short_16","alias_value":"6UN2AH222RCVAPHA","created_at":"2026-07-05T09:56:15Z"},{"alias_kind":"pith_short_8","alias_value":"6UN2AH22","created_at":"2026-07-05T09:56:15Z"}],"graph_snapshots":[{"event_id":"sha256:fb78c67fa944bca62c6493e232da2b72767b94f38ac0c0ca846b6391c8865c9e","target":"graph","created_at":"2026-07-05T09:56:15Z","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/2501.01165/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent years have witnessed increasing research interests of physics-informed neural networks (PINNs) in solving forward, inverse, and parametric problems governed by partial differential equations (PDEs). Despite their promise, PINNs still face significant challenges in many scenarios due to ill-conditioning. Time-stepping-oriented neural network (TSONN) addresses this by reformulating the ill-conditioned optimization problem into a series of well-conditioned sub-problems, greatly improving its ability to handle complex scenarios. This paper presents a new solver for laminar flow around airfo","authors_text":"Qianhong Ma, Shixiang Tang, Wanli Ouyang, Weiwei Zhang, Wenbo Cao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-01-02T09:38:06Z","title":"Solving all laminar flows around airfoils all-at-once using a parametric neural network solver"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.01165","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":"sha256:2d69b9493aed7f5502913859ef5b9ececbc085c734bf7d1e380afbbcedcf7465","target":"record","created_at":"2026-07-05T09:56:15Z","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":"89ff8eee2af0188e170988d86f5bd970fd8f758562d5ad715e7b05daa7e394ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-01-02T09:38:06Z","title_canon_sha256":"07fb86f14f9109f9b92e16772b9b7a5f48e19cf709a6b99c9374cfac9bc98248"},"schema_version":"1.0","source":{"id":"2501.01165","kind":"arxiv","version":1}},"canonical_sha256":"f51ba01f5ad445503ce0fa543df11c7dea31dba4c449e8c82041bbdb94d7f085","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f51ba01f5ad445503ce0fa543df11c7dea31dba4c449e8c82041bbdb94d7f085","first_computed_at":"2026-07-05T09:56:15.775274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:56:15.775274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z2LMaX5owwCKHTyrAmqRaBucvNmwXVu7EjJXDm3rkA7/8Pu3pEFyCNdYuQdXwRa75IXBYfr47p9GGKPk9Ci/Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:56:15.775703Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.01165","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d69b9493aed7f5502913859ef5b9ececbc085c734bf7d1e380afbbcedcf7465","sha256:fb78c67fa944bca62c6493e232da2b72767b94f38ac0c0ca846b6391c8865c9e"],"state_sha256":"24ed92bf985e618adb3aee79032dd7dd6ac51da4ca385f08713effac42e1785d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9KOz9HpaHdsDQh3gYm1KOEkIYu2AtJ2buRwNfXJqkhYVsAmLgqnOVc+Iwj6IoVXO+mvOr3G9iOs5xWqpKMneAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T20:15:13.901729Z","bundle_sha256":"4d2628ec8e8733571fcf353dc5235137684a8828aa03cab037a6862735e3b390"}}