{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:AXZJX5BMLLCWVVNQIOP4VMHP6Z","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":"a6972f3616a225293008d31eefced9ae8026463602a8576fade4fc309b62c436","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-05-18T22:05:11Z","title_canon_sha256":"b73fe44855262db9975d0659412bf789f46cf43bd57127993cfb929335fc0ece"},"schema_version":"1.0","source":{"id":"2505.12556","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.12556","created_at":"2026-07-05T11:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"2505.12556v1","created_at":"2026-07-05T11:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.12556","created_at":"2026-07-05T11:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"AXZJX5BMLLCW","created_at":"2026-07-05T11:05:05Z"},{"alias_kind":"pith_short_16","alias_value":"AXZJX5BMLLCWVVNQ","created_at":"2026-07-05T11:05:05Z"},{"alias_kind":"pith_short_8","alias_value":"AXZJX5BM","created_at":"2026-07-05T11:05:05Z"}],"graph_snapshots":[{"event_id":"sha256:3ea819190690ac5a68327d81420431b2ae37bf93e7f726ddd742e287a2d263b8","target":"graph","created_at":"2026-07-05T11:05:05Z","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/2505.12556/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Real-world systems, from aerospace to railway engineering, are modeled with partial differential equations (PDEs) describing the physics of the system. Estimating robust solutions for such problems is essential. Deep learning-based architectures, such as neural PDE solvers, have recently gained traction as a reliable solution method. The current state of development of these approaches, however, primarily focuses on improving accuracy. The environmental impact of excessive computation, leading to increased carbon emissions, has largely been overlooked. This paper introduces a carbon emission m","authors_text":"Abhishek Chandra, Anastasios Stamou, Stephen J Roberts, Taniya Kapoor","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-05-18T22:05:11Z","title":"Beyond Accuracy: EcoL2 Metric for Sustainable Neural PDE Solvers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.12556","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":"sha256:4bffaec26b0c465ca1e8d2d5a1d9d6634f75f54cbf7cb4d4fb76d88d20c5d595","target":"record","created_at":"2026-07-05T11:05:05Z","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":"a6972f3616a225293008d31eefced9ae8026463602a8576fade4fc309b62c436","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-05-18T22:05:11Z","title_canon_sha256":"b73fe44855262db9975d0659412bf789f46cf43bd57127993cfb929335fc0ece"},"schema_version":"1.0","source":{"id":"2505.12556","kind":"arxiv","version":1}},"canonical_sha256":"05f29bf42c5ac56ad5b0439fcab0eff67a97f2b35b3b31c1edc4acdbfeff496a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05f29bf42c5ac56ad5b0439fcab0eff67a97f2b35b3b31c1edc4acdbfeff496a","first_computed_at":"2026-07-05T11:05:05.991137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:05:05.991137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vnPXqjPyLsW5jKlEfsVpo0PGXGX18GWzVd3e3w+nl+svJyBDYGiKuDxBAESMhJG7miJc5tKgux7Had+kT3IFBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:05:05.991644Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.12556","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bffaec26b0c465ca1e8d2d5a1d9d6634f75f54cbf7cb4d4fb76d88d20c5d595","sha256:3ea819190690ac5a68327d81420431b2ae37bf93e7f726ddd742e287a2d263b8"],"state_sha256":"b234c454a595416733c6faa61896069531398f47fb5982cb3f3b60f8df2ba146"}