{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VGXPBQQXVT5GQSZUNDW5UOFQAM","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":"13c4aa50d65c0043c84b3061c6b9fe2d328270efd7ec9acd3baf6c7a00243032","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-13T16:58:19Z","title_canon_sha256":"cd1c3562482f8db6682dcbaeff236b0a5ed2b2036f2ef5ac6aa3b1caedb48bc9"},"schema_version":"1.0","source":{"id":"1703.04485","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04485","created_at":"2026-05-18T00:48:48Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04485v1","created_at":"2026-05-18T00:48:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04485","created_at":"2026-05-18T00:48:48Z"},{"alias_kind":"pith_short_12","alias_value":"VGXPBQQXVT5G","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VGXPBQQXVT5GQSZU","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VGXPBQQX","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:ba74eae324f2e9cce31a3a2b4942182ce94def67a5206890c4051ab93bd4dcd5","target":"graph","created_at":"2026-05-18T00:48:48Z","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"},"paper":{"abstract_excerpt":"In [3] a simple discrete scheme for the motion of screw dislocations toward low energy configurations has been proposed. There, a formal limit of such a scheme, as the lattice spacing and the time step tend to zero, has been described. The limiting dynamics agrees with the maximal dissipation criterion introduced in [8] and predicts motion along the glide directions of the crystal. In this paper, we provide rigorous proofs of the results in [3], and in particular of the passage from the discrete to the continuous dynamics. The proofs are based on $\\Gamma$-convergence techniques.","authors_text":"Adriana Garroni, Lucia De Luca, Marcello Ponsiglione, Roberto Alicandro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-13T16:58:19Z","title":"Minimising movements for the motion of discrete screw dislocations along glide directions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04485","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":"sha256:8509682715c91e93a92c8f9d11d928f95ecdebeb18d02922021123f09f34da43","target":"record","created_at":"2026-05-18T00:48:48Z","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":"13c4aa50d65c0043c84b3061c6b9fe2d328270efd7ec9acd3baf6c7a00243032","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-13T16:58:19Z","title_canon_sha256":"cd1c3562482f8db6682dcbaeff236b0a5ed2b2036f2ef5ac6aa3b1caedb48bc9"},"schema_version":"1.0","source":{"id":"1703.04485","kind":"arxiv","version":1}},"canonical_sha256":"a9aef0c217acfa684b3468edda38b0031f35e3d7bf362ad4d38bd1c7d91d1d5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9aef0c217acfa684b3468edda38b0031f35e3d7bf362ad4d38bd1c7d91d1d5d","first_computed_at":"2026-05-18T00:48:48.476558Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:48.476558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vsMiFUgL3ANSIjQEOCjimjpAxKUq4veMqWOlezq84HaJ87/XmBMmECKcbZle1t3tqXFH2Wr77s9/fsaOU4RBCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:48.477364Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.04485","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8509682715c91e93a92c8f9d11d928f95ecdebeb18d02922021123f09f34da43","sha256:ba74eae324f2e9cce31a3a2b4942182ce94def67a5206890c4051ab93bd4dcd5"],"state_sha256":"1b03c5f88c1c25e59e21f82019085b473fe01a614a61eaa0e556b69b370b8493"}