{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:PEJIKV5H7MZNDZ7XUXLOWYYUEB","short_pith_number":"pith:PEJIKV5H","canonical_record":{"source":{"id":"2507.03272","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-07-04T03:06:51Z","cross_cats_sorted":[],"title_canon_sha256":"296a651f4595654a4b756c0acf38e3ac9adfaab585163b0a813a419be4fd044d","abstract_canon_sha256":"49e0627539a907d923f4ba523cafcdbc9d09fe722f29c6602f6c1f9d9484facb"},"schema_version":"1.0"},"canonical_sha256":"79128557a7fb32d1e7f7a5d6eb631420657ad7f05750adebd65557480abd491a","source":{"kind":"arxiv","id":"2507.03272","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.03272","created_at":"2026-07-05T11:31:55Z"},{"alias_kind":"arxiv_version","alias_value":"2507.03272v1","created_at":"2026-07-05T11:31:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.03272","created_at":"2026-07-05T11:31:55Z"},{"alias_kind":"pith_short_12","alias_value":"PEJIKV5H7MZN","created_at":"2026-07-05T11:31:55Z"},{"alias_kind":"pith_short_16","alias_value":"PEJIKV5H7MZNDZ7X","created_at":"2026-07-05T11:31:55Z"},{"alias_kind":"pith_short_8","alias_value":"PEJIKV5H","created_at":"2026-07-05T11:31:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:PEJIKV5H7MZNDZ7XUXLOWYYUEB","target":"record","payload":{"canonical_record":{"source":{"id":"2507.03272","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-07-04T03:06:51Z","cross_cats_sorted":[],"title_canon_sha256":"296a651f4595654a4b756c0acf38e3ac9adfaab585163b0a813a419be4fd044d","abstract_canon_sha256":"49e0627539a907d923f4ba523cafcdbc9d09fe722f29c6602f6c1f9d9484facb"},"schema_version":"1.0"},"canonical_sha256":"79128557a7fb32d1e7f7a5d6eb631420657ad7f05750adebd65557480abd491a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:31:55.869055Z","signature_b64":"6mYoIKQlt2XP+QAXmQwan2YFCi3RGLZvoFwkmBVfg0XZpHHlaqiXxSE7YQw/2XIzkg83T83b/oZgqKjeOrC9DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79128557a7fb32d1e7f7a5d6eb631420657ad7f05750adebd65557480abd491a","last_reissued_at":"2026-07-05T11:31:55.868552Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:31:55.868552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.03272","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":"2026-07-05T11:31:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3fGXlDpUse1PGEUgHz+/daa5FpE+EpHKh3hU0DDvRWL9ibnnppxtg2a2qER2fYKtNCz7hBp+SkRnBAIet0clDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T11:47:37.009062Z"},"content_sha256":"87ba646c9865482aa33e7d4b0375ceb5544bb0460c4513843ec4acae547c7007","schema_version":"1.0","event_id":"sha256:87ba646c9865482aa33e7d4b0375ceb5544bb0460c4513843ec4acae547c7007"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:PEJIKV5H7MZNDZ7XUXLOWYYUEB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Qibang Liu, Seid Koric","submitted_at":"2025-07-04T03:06:51Z","abstract_excerpt":"Partial differential equations (PDEs) are fundamental to modeling complex and nonlinear physical phenomena, but their numerical solution often requires significant computational resources, particularly when a large number of forward full solution evaluations are necessary, such as in design, optimization, sensitivity analysis, and uncertainty quantification. Recent progress in operator learning has enabled surrogate models that efficiently predict full PDE solution fields; however, these models often struggle with accuracy and robustness when faced with highly nonlinear responses driven by seq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.03272","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/2507.03272/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":"2026-07-05T11:31:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BENLvekTtG+H5i6g4GBMdbnLNRsGFZz7ozvmeDTJ2MQI5YOpRw5Sb3HZXe1JCftTCVHgs1cyd5r0rQePuOC0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T11:47:37.009939Z"},"content_sha256":"674e3a157073cd6616a347d5663ff718e36a826c4f131e14361aecf0904612e6","schema_version":"1.0","event_id":"sha256:674e3a157073cd6616a347d5663ff718e36a826c4f131e14361aecf0904612e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PEJIKV5H7MZNDZ7XUXLOWYYUEB/bundle.json","state_url":"https://pith.science/pith/PEJIKV5H7MZNDZ7XUXLOWYYUEB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PEJIKV5H7MZNDZ7XUXLOWYYUEB/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":"2026-08-09T11:47:37Z","links":{"resolver":"https://pith.science/pith/PEJIKV5H7MZNDZ7XUXLOWYYUEB","bundle":"https://pith.science/pith/PEJIKV5H7MZNDZ7XUXLOWYYUEB/bundle.json","state":"https://pith.science/pith/PEJIKV5H7MZNDZ7XUXLOWYYUEB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PEJIKV5H7MZNDZ7XUXLOWYYUEB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:PEJIKV5H7MZNDZ7XUXLOWYYUEB","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":"49e0627539a907d923f4ba523cafcdbc9d09fe722f29c6602f6c1f9d9484facb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-07-04T03:06:51Z","title_canon_sha256":"296a651f4595654a4b756c0acf38e3ac9adfaab585163b0a813a419be4fd044d"},"schema_version":"1.0","source":{"id":"2507.03272","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.03272","created_at":"2026-07-05T11:31:55Z"},{"alias_kind":"arxiv_version","alias_value":"2507.03272v1","created_at":"2026-07-05T11:31:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.03272","created_at":"2026-07-05T11:31:55Z"},{"alias_kind":"pith_short_12","alias_value":"PEJIKV5H7MZN","created_at":"2026-07-05T11:31:55Z"},{"alias_kind":"pith_short_16","alias_value":"PEJIKV5H7MZNDZ7X","created_at":"2026-07-05T11:31:55Z"},{"alias_kind":"pith_short_8","alias_value":"PEJIKV5H","created_at":"2026-07-05T11:31:55Z"}],"graph_snapshots":[{"event_id":"sha256:674e3a157073cd6616a347d5663ff718e36a826c4f131e14361aecf0904612e6","target":"graph","created_at":"2026-07-05T11:31:55Z","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/2507.03272/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Partial differential equations (PDEs) are fundamental to modeling complex and nonlinear physical phenomena, but their numerical solution often requires significant computational resources, particularly when a large number of forward full solution evaluations are necessary, such as in design, optimization, sensitivity analysis, and uncertainty quantification. Recent progress in operator learning has enabled surrogate models that efficiently predict full PDE solution fields; however, these models often struggle with accuracy and robustness when faced with highly nonlinear responses driven by seq","authors_text":"Qibang Liu, Seid Koric","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-07-04T03:06:51Z","title":"Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.03272","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":"sha256:87ba646c9865482aa33e7d4b0375ceb5544bb0460c4513843ec4acae547c7007","target":"record","created_at":"2026-07-05T11:31:55Z","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":"49e0627539a907d923f4ba523cafcdbc9d09fe722f29c6602f6c1f9d9484facb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-07-04T03:06:51Z","title_canon_sha256":"296a651f4595654a4b756c0acf38e3ac9adfaab585163b0a813a419be4fd044d"},"schema_version":"1.0","source":{"id":"2507.03272","kind":"arxiv","version":1}},"canonical_sha256":"79128557a7fb32d1e7f7a5d6eb631420657ad7f05750adebd65557480abd491a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79128557a7fb32d1e7f7a5d6eb631420657ad7f05750adebd65557480abd491a","first_computed_at":"2026-07-05T11:31:55.868552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:31:55.868552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6mYoIKQlt2XP+QAXmQwan2YFCi3RGLZvoFwkmBVfg0XZpHHlaqiXxSE7YQw/2XIzkg83T83b/oZgqKjeOrC9DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:31:55.869055Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.03272","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87ba646c9865482aa33e7d4b0375ceb5544bb0460c4513843ec4acae547c7007","sha256:674e3a157073cd6616a347d5663ff718e36a826c4f131e14361aecf0904612e6"],"state_sha256":"a5f1245edbaee291b09596f9c095a6f27e342538c4f81a3c8106be2add91d21a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uXOj0+L169EkdBgfHXtlVXXo30TB/kXFEY2Q/UR+PPIunsmKhT8y3q3sN0hGUEyn1sHd7nT5wqIVwo6txfh3Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T11:47:37.015516Z","bundle_sha256":"29cbb667c0643d049c85c4bf3f1f04f55f1d7d5dc42435cb8adc16473bcb9499"}}