{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:PMHI4WCJ72SCPUVLK6K3RBDEB3","short_pith_number":"pith:PMHI4WCJ","canonical_record":{"source":{"id":"2607.14563","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T04:43:39Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"5d852b18eae920d4d541aebbef8a8ab0c3da8cf660a2914af46cb28819a48cff","abstract_canon_sha256":"4065b5ef62f6c2af868e3e898ea259708ec9f49ad5ede11e9ea2941d843f252d"},"schema_version":"1.0"},"canonical_sha256":"7b0e8e5849fea427d2ab5795b884640ecd564dd40f22b7c2fdb7a46975c5993d","source":{"kind":"arxiv","id":"2607.14563","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14563","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14563v1","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14563","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"pith_short_12","alias_value":"PMHI4WCJ72SC","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"pith_short_16","alias_value":"PMHI4WCJ72SCPUVL","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"pith_short_8","alias_value":"PMHI4WCJ","created_at":"2026-07-17T01:21:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:PMHI4WCJ72SCPUVLK6K3RBDEB3","target":"record","payload":{"canonical_record":{"source":{"id":"2607.14563","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T04:43:39Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"5d852b18eae920d4d541aebbef8a8ab0c3da8cf660a2914af46cb28819a48cff","abstract_canon_sha256":"4065b5ef62f6c2af868e3e898ea259708ec9f49ad5ede11e9ea2941d843f252d"},"schema_version":"1.0"},"canonical_sha256":"7b0e8e5849fea427d2ab5795b884640ecd564dd40f22b7c2fdb7a46975c5993d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-17T01:21:18.378481Z","signature_b64":"gaqhPynNG7q9gaZg0COATfo+WrZCFxS7dcFjz8Ivd9ShaTfZk6iCOGOOsA0sl1CDXXFaJgBlSyFVM9ivH2meDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b0e8e5849fea427d2ab5795b884640ecd564dd40f22b7c2fdb7a46975c5993d","last_reissued_at":"2026-07-17T01:21:18.377590Z","signature_status":"signed_v1","first_computed_at":"2026-07-17T01:21:18.377590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.14563","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":"2026-07-17T01:21:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dHBeChAWHpHREvpmLVbtJvMGdBRaILQ6S1Y1N3ww7TgZuFJEs8qToVVu6/yteidjySXPEsM/HPGhXjJPObzjCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T03:42:32.235348Z"},"content_sha256":"e01b1da58689d10139221faf8c12518a033410206d317971d4022f401700f622","schema_version":"1.0","event_id":"sha256:e01b1da58689d10139221faf8c12518a033410206d317971d4022f401700f622"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:PMHI4WCJ72SCPUVLK6K3RBDEB3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Probabilistic Physics-Informed Neural Networks for Estimating Heterogeneous Elastic Properties from Low-Resolution and Noisy Displacement Data","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Jaesung Lee, Tatthapong Srikitrungruang","submitted_at":"2026-07-16T04:43:39Z","abstract_excerpt":"Estimating spatially heterogeneous elastic properties from low-resolution displacement measurements is a severely ill-posed inverse elasticity problem because low resolution obscures spatial details needed to distinguish heterogeneous property variations, and small measurement perturbations or fitting errors are amplified through inverse estimation. Existing inverse methods often rely on high-fidelity observations and manually prespecified loss weights, limiting their adaptability and making them sensitive to noise and resolution degradation. We propose a Probabilistic Inverse Elasticity Physi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14563","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/2607.14563/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":"2026-07-17T01:21:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LBJStzWxF96bf52s8weJ89NoNYz/XQL8+/cIeLAqGniIwHrNoNSHYP0CCFCC0L+GNFDMQT28tMlg+b0L9PcJBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T03:42:32.235986Z"},"content_sha256":"7a7e7d80a4fbfd9d0709ba1e43484feb7da974c6aa4cea0049bbb12384a0010c","schema_version":"1.0","event_id":"sha256:7a7e7d80a4fbfd9d0709ba1e43484feb7da974c6aa4cea0049bbb12384a0010c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PMHI4WCJ72SCPUVLK6K3RBDEB3/bundle.json","state_url":"https://pith.science/pith/PMHI4WCJ72SCPUVLK6K3RBDEB3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PMHI4WCJ72SCPUVLK6K3RBDEB3/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":"2026-08-06T03:42:32Z","links":{"resolver":"https://pith.science/pith/PMHI4WCJ72SCPUVLK6K3RBDEB3","bundle":"https://pith.science/pith/PMHI4WCJ72SCPUVLK6K3RBDEB3/bundle.json","state":"https://pith.science/pith/PMHI4WCJ72SCPUVLK6K3RBDEB3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PMHI4WCJ72SCPUVLK6K3RBDEB3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PMHI4WCJ72SCPUVLK6K3RBDEB3","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":"4065b5ef62f6c2af868e3e898ea259708ec9f49ad5ede11e9ea2941d843f252d","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T04:43:39Z","title_canon_sha256":"5d852b18eae920d4d541aebbef8a8ab0c3da8cf660a2914af46cb28819a48cff"},"schema_version":"1.0","source":{"id":"2607.14563","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14563","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14563v1","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14563","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"pith_short_12","alias_value":"PMHI4WCJ72SC","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"pith_short_16","alias_value":"PMHI4WCJ72SCPUVL","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"pith_short_8","alias_value":"PMHI4WCJ","created_at":"2026-07-17T01:21:18Z"}],"graph_snapshots":[{"event_id":"sha256:7a7e7d80a4fbfd9d0709ba1e43484feb7da974c6aa4cea0049bbb12384a0010c","target":"graph","created_at":"2026-07-17T01:21:18Z","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/2607.14563/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Estimating spatially heterogeneous elastic properties from low-resolution displacement measurements is a severely ill-posed inverse elasticity problem because low resolution obscures spatial details needed to distinguish heterogeneous property variations, and small measurement perturbations or fitting errors are amplified through inverse estimation. Existing inverse methods often rely on high-fidelity observations and manually prespecified loss weights, limiting their adaptability and making them sensitive to noise and resolution degradation. We propose a Probabilistic Inverse Elasticity Physi","authors_text":"Jaesung Lee, Tatthapong Srikitrungruang","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T04:43:39Z","title":"Probabilistic Physics-Informed Neural Networks for Estimating Heterogeneous Elastic Properties from Low-Resolution and Noisy Displacement Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14563","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:e01b1da58689d10139221faf8c12518a033410206d317971d4022f401700f622","target":"record","created_at":"2026-07-17T01:21:18Z","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":"4065b5ef62f6c2af868e3e898ea259708ec9f49ad5ede11e9ea2941d843f252d","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T04:43:39Z","title_canon_sha256":"5d852b18eae920d4d541aebbef8a8ab0c3da8cf660a2914af46cb28819a48cff"},"schema_version":"1.0","source":{"id":"2607.14563","kind":"arxiv","version":1}},"canonical_sha256":"7b0e8e5849fea427d2ab5795b884640ecd564dd40f22b7c2fdb7a46975c5993d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b0e8e5849fea427d2ab5795b884640ecd564dd40f22b7c2fdb7a46975c5993d","first_computed_at":"2026-07-17T01:21:18.377590Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T01:21:18.377590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gaqhPynNG7q9gaZg0COATfo+WrZCFxS7dcFjz8Ivd9ShaTfZk6iCOGOOsA0sl1CDXXFaJgBlSyFVM9ivH2meDQ==","signature_status":"signed_v1","signed_at":"2026-07-17T01:21:18.378481Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.14563","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e01b1da58689d10139221faf8c12518a033410206d317971d4022f401700f622","sha256:7a7e7d80a4fbfd9d0709ba1e43484feb7da974c6aa4cea0049bbb12384a0010c"],"state_sha256":"01e8be242118e8d854be28e6c8f805ed0f292e3c846d552790e2f4df4204eea0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pSULUDumdThKiqrLQe88eMhX8NSZZkFi5Vu/WLwo7R90Jm1sOMx/oJYqCgZblVw8WjFJt1X/01PWTZlgesXFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T03:42:32.240931Z","bundle_sha256":"6d35078874bd7d240d0761523845db2b2feeb60463f0a8fca601da9c6d1ca416"}}