{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:XOTTFRQ3I4L6PNTX4IVNOI57PT","short_pith_number":"pith:XOTTFRQ3","canonical_record":{"source":{"id":"1906.03693","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-09T19:23:51Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"7a9450ceeb255b4740472b82c3ff28f2f4ba0a4d4cb0ac021ab79edc7f34c806","abstract_canon_sha256":"dedf50828b2a8aee4ba7a1419873e7cac2b7a5da7f0820675869631177949f29"},"schema_version":"1.0"},"canonical_sha256":"bba732c61b4717e7b677e22ad723bf7ceb5e8680347b26f62788bcfc67bf2cea","source":{"kind":"arxiv","id":"1906.03693","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.03693","created_at":"2026-05-17T23:43:45Z"},{"alias_kind":"arxiv_version","alias_value":"1906.03693v1","created_at":"2026-05-17T23:43:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.03693","created_at":"2026-05-17T23:43:45Z"},{"alias_kind":"pith_short_12","alias_value":"XOTTFRQ3I4L6","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"XOTTFRQ3I4L6PNTX","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"XOTTFRQ3","created_at":"2026-05-18T12:33:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:XOTTFRQ3I4L6PNTX4IVNOI57PT","target":"record","payload":{"canonical_record":{"source":{"id":"1906.03693","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-09T19:23:51Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"7a9450ceeb255b4740472b82c3ff28f2f4ba0a4d4cb0ac021ab79edc7f34c806","abstract_canon_sha256":"dedf50828b2a8aee4ba7a1419873e7cac2b7a5da7f0820675869631177949f29"},"schema_version":"1.0"},"canonical_sha256":"bba732c61b4717e7b677e22ad723bf7ceb5e8680347b26f62788bcfc67bf2cea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:45.296766Z","signature_b64":"ZYdn64Ox0qJPnT0mBaGN+iMNH6nyWoUJoAZ/vXISnmaEirzKFomTxZSew312rx38FYu9Tgu8StEHpvMAcFblCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bba732c61b4717e7b677e22ad723bf7ceb5e8680347b26f62788bcfc67bf2cea","last_reissued_at":"2026-05-17T23:43:45.296146Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:45.296146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.03693","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":"2026-05-17T23:43:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JpseKNXxTPEfAUGJgHjqYX4OHJR9ixmKjSyzNVieNrB09w73aNmOieQyTUdHFrgM+Nj+cD/oGLHXkNrMEkvUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T01:28:39.766073Z"},"content_sha256":"82e6e0cad5b7dcb5883dea3013017a1a0fab5ee28c73b5399a5ccfe726e6317a","schema_version":"1.0","event_id":"sha256:82e6e0cad5b7dcb5883dea3013017a1a0fab5ee28c73b5399a5ccfe726e6317a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:XOTTFRQ3I4L6PNTX4IVNOI57PT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric Partial Differential Equations from Unified String Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AP","authors_text":"Duong H. Phong","submitted_at":"2019-06-09T19:23:51Z","abstract_excerpt":"An informal introduction to some new geometric partial differential equations motivated by string theories is provided. Some of these equations are also interesting from the point of view of non-K\\\"ahler geometry and the theory of non-linear partial differential equations. In particular, a survey is given of joint works of the author with Teng Fei, Bin Guo, Sebastien Picard, and Xiangwen Zhang."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.03693","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":"2026-05-17T23:43:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DakVDd4QPDGv0fyx7dLrGBF/aZPzFzngNo/kK6HxOxVkEznLv9xE+QeDTjkAvpgSe2VbNYKp5uvrZDBtw8jdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T01:28:39.766422Z"},"content_sha256":"3d959ad13196ef38a4070477dfe18883a5f8744111f881b0cab1251a3b40278d","schema_version":"1.0","event_id":"sha256:3d959ad13196ef38a4070477dfe18883a5f8744111f881b0cab1251a3b40278d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XOTTFRQ3I4L6PNTX4IVNOI57PT/bundle.json","state_url":"https://pith.science/pith/XOTTFRQ3I4L6PNTX4IVNOI57PT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XOTTFRQ3I4L6PNTX4IVNOI57PT/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":"2026-08-06T01:28:39Z","links":{"resolver":"https://pith.science/pith/XOTTFRQ3I4L6PNTX4IVNOI57PT","bundle":"https://pith.science/pith/XOTTFRQ3I4L6PNTX4IVNOI57PT/bundle.json","state":"https://pith.science/pith/XOTTFRQ3I4L6PNTX4IVNOI57PT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XOTTFRQ3I4L6PNTX4IVNOI57PT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XOTTFRQ3I4L6PNTX4IVNOI57PT","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":"dedf50828b2a8aee4ba7a1419873e7cac2b7a5da7f0820675869631177949f29","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-09T19:23:51Z","title_canon_sha256":"7a9450ceeb255b4740472b82c3ff28f2f4ba0a4d4cb0ac021ab79edc7f34c806"},"schema_version":"1.0","source":{"id":"1906.03693","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.03693","created_at":"2026-05-17T23:43:45Z"},{"alias_kind":"arxiv_version","alias_value":"1906.03693v1","created_at":"2026-05-17T23:43:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.03693","created_at":"2026-05-17T23:43:45Z"},{"alias_kind":"pith_short_12","alias_value":"XOTTFRQ3I4L6","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"XOTTFRQ3I4L6PNTX","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"XOTTFRQ3","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:3d959ad13196ef38a4070477dfe18883a5f8744111f881b0cab1251a3b40278d","target":"graph","created_at":"2026-05-17T23:43:45Z","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":"An informal introduction to some new geometric partial differential equations motivated by string theories is provided. Some of these equations are also interesting from the point of view of non-K\\\"ahler geometry and the theory of non-linear partial differential equations. In particular, a survey is given of joint works of the author with Teng Fei, Bin Guo, Sebastien Picard, and Xiangwen Zhang.","authors_text":"Duong H. Phong","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-09T19:23:51Z","title":"Geometric Partial Differential Equations from Unified String Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.03693","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":"sha256:82e6e0cad5b7dcb5883dea3013017a1a0fab5ee28c73b5399a5ccfe726e6317a","target":"record","created_at":"2026-05-17T23:43:45Z","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":"dedf50828b2a8aee4ba7a1419873e7cac2b7a5da7f0820675869631177949f29","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-09T19:23:51Z","title_canon_sha256":"7a9450ceeb255b4740472b82c3ff28f2f4ba0a4d4cb0ac021ab79edc7f34c806"},"schema_version":"1.0","source":{"id":"1906.03693","kind":"arxiv","version":1}},"canonical_sha256":"bba732c61b4717e7b677e22ad723bf7ceb5e8680347b26f62788bcfc67bf2cea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bba732c61b4717e7b677e22ad723bf7ceb5e8680347b26f62788bcfc67bf2cea","first_computed_at":"2026-05-17T23:43:45.296146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:45.296146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZYdn64Ox0qJPnT0mBaGN+iMNH6nyWoUJoAZ/vXISnmaEirzKFomTxZSew312rx38FYu9Tgu8StEHpvMAcFblCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:45.296766Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.03693","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82e6e0cad5b7dcb5883dea3013017a1a0fab5ee28c73b5399a5ccfe726e6317a","sha256:3d959ad13196ef38a4070477dfe18883a5f8744111f881b0cab1251a3b40278d"],"state_sha256":"8c16ddfe2ff89471a50f318f50cf39451dce116cf4074232b43ceefd9d39742f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n8J21mY3kJp4zspsemby0ML0jumSDwp4MlKjWLh/Te5PG1tbNvqvMjZowbadVfn9LJCRvtGatXrsvFiF30OPDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T01:28:39.768731Z","bundle_sha256":"095aac8736a5d6512611b0e4b020faa7ffc7b44bd4b177ebe3fd8a653dfce32f"}}