{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KCSTM2XRL5C6CHCRHXHEBNVSSR","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":"faf233769aabd319f38791a225054c546398f4d3109ea1834708fe3b730b359c","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-24T22:52:31Z","title_canon_sha256":"cab68457a9f2e77de3db2383c1bb67b49d4886254885051387991597bc039181"},"schema_version":"1.0","source":{"id":"2605.25286","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25286","created_at":"2026-05-26T02:04:27Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25286v1","created_at":"2026-05-26T02:04:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25286","created_at":"2026-05-26T02:04:27Z"},{"alias_kind":"pith_short_12","alias_value":"KCSTM2XRL5C6","created_at":"2026-05-26T02:04:27Z"},{"alias_kind":"pith_short_16","alias_value":"KCSTM2XRL5C6CHCR","created_at":"2026-05-26T02:04:27Z"},{"alias_kind":"pith_short_8","alias_value":"KCSTM2XR","created_at":"2026-05-26T02:04:27Z"}],"graph_snapshots":[{"event_id":"sha256:6a420f2298fe106e330b409112de1a8201094fa7b5d036c57b877dd45948c9d7","target":"graph","created_at":"2026-05-26T02:04:27Z","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/2605.25286/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Classical atomistic simulations based on interatomic potentials resolve lattice instabilities, defect nucleation, and microstructure evolution with high fidelity, but their accessible system sizes remain far below those required for micrometer-scale structural analyses. We develop a two-scale atomistic-continuum framework that couples a nonlinear finite-element boundary-value problem at the microscale to periodic molecular-statics cell problems at quadrature points. The scale transition is formulated by computational homogenization in the sense of Hill-Mandel energy equivalence. Instead of pre","authors_text":"Aagashram Neelakandan, Bernhard Eidel, Karsten Albe","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-24T22:52:31Z","title":"Atomistic-Continuum Coupling by Homogenization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25286","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:b6c1fd3c4b29c484b2f04bd1a382d2e2f57c40f91df839545989e26a5cc3af22","target":"record","created_at":"2026-05-26T02:04:27Z","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":"faf233769aabd319f38791a225054c546398f4d3109ea1834708fe3b730b359c","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-24T22:52:31Z","title_canon_sha256":"cab68457a9f2e77de3db2383c1bb67b49d4886254885051387991597bc039181"},"schema_version":"1.0","source":{"id":"2605.25286","kind":"arxiv","version":1}},"canonical_sha256":"50a5366af15f45e11c513dce40b6b2946c80193dd74e12b397e1fa5372fe4bca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50a5366af15f45e11c513dce40b6b2946c80193dd74e12b397e1fa5372fe4bca","first_computed_at":"2026-05-26T02:04:27.349441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:27.349441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vlTwiREZPRkzrWz3bKsM8z1RXepU/shimfjNoh3zfqks9yLJ71NJBWQHcIa4JZKxSSav/jGLPKru2rLz8s0CDA==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:27.350280Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.25286","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6c1fd3c4b29c484b2f04bd1a382d2e2f57c40f91df839545989e26a5cc3af22","sha256:6a420f2298fe106e330b409112de1a8201094fa7b5d036c57b877dd45948c9d7"],"state_sha256":"2b8f843e232905ee1020ce4fe2461630496e75e84a983ccb007a13ac6dcc04f6"}