{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:ZG7TOVXFDCEJJQLL4YD7T2JYSO","short_pith_number":"pith:ZG7TOVXF","canonical_record":{"source":{"id":"1904.05310","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-10T17:19:06Z","cross_cats_sorted":["cs.NA","stat.CO"],"title_canon_sha256":"bca1f10d76f0a5361f2890e645c4bce92fbaa58c2c6b03bfea304be7d79fcf44","abstract_canon_sha256":"6a3c9537d097b0152b6590fa3b064a4cf914ecd821eb9f622ae833a89bef2096"},"schema_version":"1.0"},"canonical_sha256":"c9bf3756e5188894c16be607f9e938939888a2a00a27682b2ef35ffaadfab188","source":{"kind":"arxiv","id":"1904.05310","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.05310","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"arxiv_version","alias_value":"1904.05310v1","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05310","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"pith_short_12","alias_value":"ZG7TOVXFDCEJ","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"pith_short_16","alias_value":"ZG7TOVXFDCEJJQLL","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"pith_short_8","alias_value":"ZG7TOVXF","created_at":"2026-06-04T20:14:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:ZG7TOVXFDCEJJQLL4YD7T2JYSO","target":"record","payload":{"canonical_record":{"source":{"id":"1904.05310","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-10T17:19:06Z","cross_cats_sorted":["cs.NA","stat.CO"],"title_canon_sha256":"bca1f10d76f0a5361f2890e645c4bce92fbaa58c2c6b03bfea304be7d79fcf44","abstract_canon_sha256":"6a3c9537d097b0152b6590fa3b064a4cf914ecd821eb9f622ae833a89bef2096"},"schema_version":"1.0"},"canonical_sha256":"c9bf3756e5188894c16be607f9e938939888a2a00a27682b2ef35ffaadfab188","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T20:14:24.404062Z","signature_b64":"y9+aj7uLgtLvC3DpBMyuxshTOv/k2u8MiytHBaRR835+jir+wgy+UWEbtyRUpb1JjpvJhsXS5jCR2l/oCmt7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9bf3756e5188894c16be607f9e938939888a2a00a27682b2ef35ffaadfab188","last_reissued_at":"2026-06-04T20:14:24.403620Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T20:14:24.403620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.05310","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":"2026-06-04T20:14:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9LiKkNJIsxSb89RmYsqxKVb+1clqw0myYnLz/ES1uK0PI6nwAe8LV2s/eIll52MoAaiCba/REkOr8nCmBMcaAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:47:11.543234Z"},"content_sha256":"6e92ac48667becd07950e7d07e7aa2e8bae051629c25a3f62353ee7202f492d2","schema_version":"1.0","event_id":"sha256:6e92ac48667becd07950e7d07e7aa2e8bae051629c25a3f62353ee7202f492d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:ZG7TOVXFDCEJJQLL4YD7T2JYSO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Joint state-parameter estimation of a nonlinear stochastic energy balance model from sparse noisy data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","stat.CO"],"primary_cat":"math.NA","authors_text":"Adam H. Monahan, Fei Lu, Nils Weitzel","submitted_at":"2019-04-10T17:19:06Z","abstract_excerpt":"While nonlinear stochastic partial differential equations arise naturally in spatiotemporal modeling, inference for such systems often faces two major challenges: sparse noisy data and ill-posedness of the inverse problem of parameter estimation. To overcome the challenges, we introduce a strongly regularized posterior by normalizing the likelihood and by imposing physical constraints through priors of the parameters and states. We investigate joint parameter-state estimation by the regularized posterior in a physically motivated nonlinear stochastic energy balance model (SEBM) for paleoclimat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05310","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/1904.05310/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":"2026-06-04T20:14:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zI/VkRrGxISnEknnm3sLZ8t/46ENfR9Frwpz837r9hya3uNEf67zTTpUp1J7Z5xEwFtncF2Ii2q038rh7UJhBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:47:11.543644Z"},"content_sha256":"3f954e8dcae411ec82d1ee644f3f4abcf2701ed8fdaec6e530b730c211e2f04d","schema_version":"1.0","event_id":"sha256:3f954e8dcae411ec82d1ee644f3f4abcf2701ed8fdaec6e530b730c211e2f04d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZG7TOVXFDCEJJQLL4YD7T2JYSO/bundle.json","state_url":"https://pith.science/pith/ZG7TOVXFDCEJJQLL4YD7T2JYSO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZG7TOVXFDCEJJQLL4YD7T2JYSO/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":"2026-06-12T09:47:11Z","links":{"resolver":"https://pith.science/pith/ZG7TOVXFDCEJJQLL4YD7T2JYSO","bundle":"https://pith.science/pith/ZG7TOVXFDCEJJQLL4YD7T2JYSO/bundle.json","state":"https://pith.science/pith/ZG7TOVXFDCEJJQLL4YD7T2JYSO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZG7TOVXFDCEJJQLL4YD7T2JYSO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZG7TOVXFDCEJJQLL4YD7T2JYSO","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":"6a3c9537d097b0152b6590fa3b064a4cf914ecd821eb9f622ae833a89bef2096","cross_cats_sorted":["cs.NA","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-10T17:19:06Z","title_canon_sha256":"bca1f10d76f0a5361f2890e645c4bce92fbaa58c2c6b03bfea304be7d79fcf44"},"schema_version":"1.0","source":{"id":"1904.05310","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.05310","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"arxiv_version","alias_value":"1904.05310v1","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05310","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"pith_short_12","alias_value":"ZG7TOVXFDCEJ","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"pith_short_16","alias_value":"ZG7TOVXFDCEJJQLL","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"pith_short_8","alias_value":"ZG7TOVXF","created_at":"2026-06-04T20:14:24Z"}],"graph_snapshots":[{"event_id":"sha256:3f954e8dcae411ec82d1ee644f3f4abcf2701ed8fdaec6e530b730c211e2f04d","target":"graph","created_at":"2026-06-04T20:14:24Z","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/1904.05310/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While nonlinear stochastic partial differential equations arise naturally in spatiotemporal modeling, inference for such systems often faces two major challenges: sparse noisy data and ill-posedness of the inverse problem of parameter estimation. To overcome the challenges, we introduce a strongly regularized posterior by normalizing the likelihood and by imposing physical constraints through priors of the parameters and states. We investigate joint parameter-state estimation by the regularized posterior in a physically motivated nonlinear stochastic energy balance model (SEBM) for paleoclimat","authors_text":"Adam H. Monahan, Fei Lu, Nils Weitzel","cross_cats":["cs.NA","stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-10T17:19:06Z","title":"Joint state-parameter estimation of a nonlinear stochastic energy balance model from sparse noisy data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05310","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":"sha256:6e92ac48667becd07950e7d07e7aa2e8bae051629c25a3f62353ee7202f492d2","target":"record","created_at":"2026-06-04T20:14:24Z","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":"6a3c9537d097b0152b6590fa3b064a4cf914ecd821eb9f622ae833a89bef2096","cross_cats_sorted":["cs.NA","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-10T17:19:06Z","title_canon_sha256":"bca1f10d76f0a5361f2890e645c4bce92fbaa58c2c6b03bfea304be7d79fcf44"},"schema_version":"1.0","source":{"id":"1904.05310","kind":"arxiv","version":1}},"canonical_sha256":"c9bf3756e5188894c16be607f9e938939888a2a00a27682b2ef35ffaadfab188","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9bf3756e5188894c16be607f9e938939888a2a00a27682b2ef35ffaadfab188","first_computed_at":"2026-06-04T20:14:24.403620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T20:14:24.403620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y9+aj7uLgtLvC3DpBMyuxshTOv/k2u8MiytHBaRR835+jir+wgy+UWEbtyRUpb1JjpvJhsXS5jCR2l/oCmt7BA==","signature_status":"signed_v1","signed_at":"2026-06-04T20:14:24.404062Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.05310","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e92ac48667becd07950e7d07e7aa2e8bae051629c25a3f62353ee7202f492d2","sha256:3f954e8dcae411ec82d1ee644f3f4abcf2701ed8fdaec6e530b730c211e2f04d"],"state_sha256":"347aecba0866f084f4418e066f85eb7c160cb377390ead43284b9f00d72c2413"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+bPWl4ep7e+jKb2t5w6mqoYXkoFnILusAbpW5r2+vLfW3bJAYc4+c8nuESsxxHA/6JON6woSqz4MoXkO+F7/AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T09:47:11.545651Z","bundle_sha256":"ddccb65e6115c018328da370843bf38effd5dba69d99f99d3689926d4ed9b3db"}}