{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:N7J7LW5RSRA6XU47YN6VPZZXC5","short_pith_number":"pith:N7J7LW5R","canonical_record":{"source":{"id":"2508.06981","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-09T13:26:44Z","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"title_canon_sha256":"1fe45db8f72ce53794b484a2fdbeaaf0ff38c21c761c9ceb1a476d037f8bcd41","abstract_canon_sha256":"c02b643270ae1e53da80dcdcea32b92469f497a412bff6677f701a65f0ba6206"},"schema_version":"1.0"},"canonical_sha256":"6fd3f5dbb19441ebd39fc37d57e7371746a78db51d796bcba16ee679de1c3063","source":{"kind":"arxiv","id":"2508.06981","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.06981","created_at":"2026-07-05T11:51:38Z"},{"alias_kind":"arxiv_version","alias_value":"2508.06981v1","created_at":"2026-07-05T11:51:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.06981","created_at":"2026-07-05T11:51:38Z"},{"alias_kind":"pith_short_12","alias_value":"N7J7LW5RSRA6","created_at":"2026-07-05T11:51:38Z"},{"alias_kind":"pith_short_16","alias_value":"N7J7LW5RSRA6XU47","created_at":"2026-07-05T11:51:38Z"},{"alias_kind":"pith_short_8","alias_value":"N7J7LW5R","created_at":"2026-07-05T11:51:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:N7J7LW5RSRA6XU47YN6VPZZXC5","target":"record","payload":{"canonical_record":{"source":{"id":"2508.06981","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-09T13:26:44Z","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"title_canon_sha256":"1fe45db8f72ce53794b484a2fdbeaaf0ff38c21c761c9ceb1a476d037f8bcd41","abstract_canon_sha256":"c02b643270ae1e53da80dcdcea32b92469f497a412bff6677f701a65f0ba6206"},"schema_version":"1.0"},"canonical_sha256":"6fd3f5dbb19441ebd39fc37d57e7371746a78db51d796bcba16ee679de1c3063","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:51:38.729012Z","signature_b64":"FULPRPXftf6GChoBLp34atRVRboQ3ftmbIUS1tvIQxOP8VpkIjbMBNmy0A69U51XpInI3LrO6fdt68QcGoWgCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fd3f5dbb19441ebd39fc37d57e7371746a78db51d796bcba16ee679de1c3063","last_reissued_at":"2026-07-05T11:51:38.728515Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:51:38.728515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.06981","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":"2026-07-05T11:51:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QLwytJ2D3Fr2WPqfgKCmHZutTKJ8B2lpYIMX5Y6dW1NDY8cjQM48PSNjU9n9e80UDBUs+NyICSbPBViSolvHCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:06:58.044617Z"},"content_sha256":"53594479129e77d3fb86a2575095a363524eb695e10d17abec40021f42603ad2","schema_version":"1.0","event_id":"sha256:53594479129e77d3fb86a2575095a363524eb695e10d17abec40021f42603ad2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:N7J7LW5RSRA6XU47YN6VPZZXC5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structure-Preserving Digital Twins via Conditional Neural Whitney Forms","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math.NA","physics.comp-ph"],"primary_cat":"cs.LG","authors_text":"Benjamin Shaffer, Brooks Kinch, Elizabeth Armstrong, John Hewson, Michael Meehan, Nathaniel Trask","submitted_at":"2025-08-09T13:26:44Z","abstract_excerpt":"We present a framework for constructing real-time digital twins based on structure-preserving reduced finite element models conditioned on a latent variable Z. The approach uses conditional attention mechanisms to learn both a reduced finite element basis and a nonlinear conservation law within the framework of finite element exterior calculus (FEEC). This guarantees numerical well-posedness and exact preservation of conserved quantities, regardless of data sparsity or optimization error. The conditioning mechanism supports real-time calibration to parametric variables, allowing the constructi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.06981","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/2508.06981/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":"2026-07-05T11:51:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jUxy26ws7WdNISVan4rXm8A25YkG0QnHEu7nQ6yI1Fu/G9+XjMoGnVqUrTRlOxG3XUZp7JBecOoc1vKfu/94CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:06:58.045129Z"},"content_sha256":"de949413502e4097401ddf91762f627d3ac547ee1de64c6b91349c5ed3d1abb5","schema_version":"1.0","event_id":"sha256:de949413502e4097401ddf91762f627d3ac547ee1de64c6b91349c5ed3d1abb5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N7J7LW5RSRA6XU47YN6VPZZXC5/bundle.json","state_url":"https://pith.science/pith/N7J7LW5RSRA6XU47YN6VPZZXC5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N7J7LW5RSRA6XU47YN6VPZZXC5/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":"2026-08-09T20:06:58Z","links":{"resolver":"https://pith.science/pith/N7J7LW5RSRA6XU47YN6VPZZXC5","bundle":"https://pith.science/pith/N7J7LW5RSRA6XU47YN6VPZZXC5/bundle.json","state":"https://pith.science/pith/N7J7LW5RSRA6XU47YN6VPZZXC5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N7J7LW5RSRA6XU47YN6VPZZXC5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:N7J7LW5RSRA6XU47YN6VPZZXC5","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":"c02b643270ae1e53da80dcdcea32b92469f497a412bff6677f701a65f0ba6206","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-09T13:26:44Z","title_canon_sha256":"1fe45db8f72ce53794b484a2fdbeaaf0ff38c21c761c9ceb1a476d037f8bcd41"},"schema_version":"1.0","source":{"id":"2508.06981","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.06981","created_at":"2026-07-05T11:51:38Z"},{"alias_kind":"arxiv_version","alias_value":"2508.06981v1","created_at":"2026-07-05T11:51:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.06981","created_at":"2026-07-05T11:51:38Z"},{"alias_kind":"pith_short_12","alias_value":"N7J7LW5RSRA6","created_at":"2026-07-05T11:51:38Z"},{"alias_kind":"pith_short_16","alias_value":"N7J7LW5RSRA6XU47","created_at":"2026-07-05T11:51:38Z"},{"alias_kind":"pith_short_8","alias_value":"N7J7LW5R","created_at":"2026-07-05T11:51:38Z"}],"graph_snapshots":[{"event_id":"sha256:de949413502e4097401ddf91762f627d3ac547ee1de64c6b91349c5ed3d1abb5","target":"graph","created_at":"2026-07-05T11:51:38Z","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/2508.06981/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a framework for constructing real-time digital twins based on structure-preserving reduced finite element models conditioned on a latent variable Z. The approach uses conditional attention mechanisms to learn both a reduced finite element basis and a nonlinear conservation law within the framework of finite element exterior calculus (FEEC). This guarantees numerical well-posedness and exact preservation of conserved quantities, regardless of data sparsity or optimization error. The conditioning mechanism supports real-time calibration to parametric variables, allowing the constructi","authors_text":"Benjamin Shaffer, Brooks Kinch, Elizabeth Armstrong, John Hewson, Michael Meehan, Nathaniel Trask","cross_cats":["cs.NA","math.NA","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-09T13:26:44Z","title":"Structure-Preserving Digital Twins via Conditional Neural Whitney Forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.06981","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":"sha256:53594479129e77d3fb86a2575095a363524eb695e10d17abec40021f42603ad2","target":"record","created_at":"2026-07-05T11:51:38Z","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":"c02b643270ae1e53da80dcdcea32b92469f497a412bff6677f701a65f0ba6206","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-09T13:26:44Z","title_canon_sha256":"1fe45db8f72ce53794b484a2fdbeaaf0ff38c21c761c9ceb1a476d037f8bcd41"},"schema_version":"1.0","source":{"id":"2508.06981","kind":"arxiv","version":1}},"canonical_sha256":"6fd3f5dbb19441ebd39fc37d57e7371746a78db51d796bcba16ee679de1c3063","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fd3f5dbb19441ebd39fc37d57e7371746a78db51d796bcba16ee679de1c3063","first_computed_at":"2026-07-05T11:51:38.728515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:51:38.728515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FULPRPXftf6GChoBLp34atRVRboQ3ftmbIUS1tvIQxOP8VpkIjbMBNmy0A69U51XpInI3LrO6fdt68QcGoWgCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:51:38.729012Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.06981","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53594479129e77d3fb86a2575095a363524eb695e10d17abec40021f42603ad2","sha256:de949413502e4097401ddf91762f627d3ac547ee1de64c6b91349c5ed3d1abb5"],"state_sha256":"f1f0391a6f3892024453701fcdcc366d4ce4a8c74aa7d97ffa982435b884b0f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I8QlpLKKAFf9Hy2jmSUPdwre9p7lwQU0GoDmbb3qr8AeUUBvvVMCpSxFOPcZW7agRbDWYBielE+vU5H6uvfKCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T20:06:58.050464Z","bundle_sha256":"2d48c684acf2b7d7425e2beeb67b4ab8b82f43e4a671b9c52999763359f69297"}}