{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LC3TGVIXJ2JGQCXAX5OYEEKT73","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":"bf646bb25eb33112c8e3258532e31b39b736301222bbe5b2f54614a69dad88f1","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-04-12T22:15:34Z","title_canon_sha256":"770fabe864f338644fccf9f303db416d361beb6266dbf6ba78eab420f32741ac"},"schema_version":"1.0","source":{"id":"2404.08834","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.08834","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"arxiv_version","alias_value":"2404.08834v1","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.08834","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"pith_short_12","alias_value":"LC3TGVIXJ2JG","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"pith_short_16","alias_value":"LC3TGVIXJ2JGQCXA","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"pith_short_8","alias_value":"LC3TGVIX","created_at":"2026-07-05T08:07:40Z"}],"graph_snapshots":[{"event_id":"sha256:a53fb93e97a8430d949621eb0ef6e1ed1e67babff9a286b2ae91361153101c02","target":"graph","created_at":"2026-07-05T08:07:40Z","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/2404.08834/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This analytical solution, based on Goldak's Semi-Ellipsoidal Heat Source model, captures the dynamic temperature evolution from a semi-ellipsoidal power density moving heat source within a semi-infinite body. It tackles the convection-diffusion heat transfer equation by integrating an instantaneous point heat source across the volume of the ellipsoidal shape. The model's precision is validated by the excellent match between the predicted transient temperatures and empirical data from bead-on-plate specimens, enhancing its capability to accurately predict in-process temperature profiles in lase","authors_text":"Mohsen Asghari Ilani, Yaser Mike Banad","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-04-12T22:15:34Z","title":"Modeling Melt Pool Geometry in Metal Additive Manufacturing Using Goldak's Semi-Ellipsoidal Heat Source: A Data-driven Computational Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.08834","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:a3808adba826fa8361e7451b0cef18ba250558158d1a4585c4a136cf03c26493","target":"record","created_at":"2026-07-05T08:07:40Z","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":"bf646bb25eb33112c8e3258532e31b39b736301222bbe5b2f54614a69dad88f1","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-04-12T22:15:34Z","title_canon_sha256":"770fabe864f338644fccf9f303db416d361beb6266dbf6ba78eab420f32741ac"},"schema_version":"1.0","source":{"id":"2404.08834","kind":"arxiv","version":1}},"canonical_sha256":"58b73355174e92680ae0bf5d821153fef3ec3e6a0bca62ee222427bf4b624e90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58b73355174e92680ae0bf5d821153fef3ec3e6a0bca62ee222427bf4b624e90","first_computed_at":"2026-07-05T08:07:40.915774Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:07:40.915774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hZ05vpwMJSk9t513sXR81bD1hW4kVjvPHTcz+CjJDeFza0zDPtPc8gq3IWAyk4UsyjqaEVQlOXnOM+Ik3jLjDw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:07:40.916211Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.08834","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3808adba826fa8361e7451b0cef18ba250558158d1a4585c4a136cf03c26493","sha256:a53fb93e97a8430d949621eb0ef6e1ed1e67babff9a286b2ae91361153101c02"],"state_sha256":"8d927cb3544e0084410c8cb7f0f9c77e575db6664f50f2c547cc18c5aed31bbb"}