{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KHQ2FW2ER6KP2B5ZAZ753VDETK","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":"c262f87ba35b17992c49dffe84f881500de0692b322cff9541c22f8af13e3b25","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-28T18:22:09Z","title_canon_sha256":"9ecfb03d564e6478474475c1a9bfd283aea6ec4608c7f2f95b8c7d8490fa1f3f"},"schema_version":"1.0","source":{"id":"1611.09271","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09271","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09271v1","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09271","created_at":"2026-05-18T00:20:56Z"},{"alias_kind":"pith_short_12","alias_value":"KHQ2FW2ER6KP","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KHQ2FW2ER6KP2B5Z","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KHQ2FW2E","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:edd8739a7ecc05ce1b008fa63d8b67495c50e00f79365fde27c49b53c7f922e0","target":"graph","created_at":"2026-05-18T00:20:56Z","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":"Under certain hypothesis of smallness of the regular potential $\\mathbf{V}$, we prove that the Dirac operator in $\\mathbb{R}^3$ coupled with a suitable re-scaling of $\\mathbf{V}$ converges in the strong resolvent sense to the Hamiltonian coupled with a $\\delta$-shell potential supported on $\\Sigma$, a bounded $C^2$ surface. Nevertheless, the coupling constant depends non-linearly on the potential $\\mathbf{V}$: the Klein's Paradox comes into play.","authors_text":"Albert Mas, Fabio Pizzichillo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-28T18:22:09Z","title":"Klein's Paradox and the Relativistic $\\delta$-shell Interaction in $\\mathbb{R}^3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09271","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:d39e7bb7427e113173678bf220639e7ae83cf44e2330f3f894f11b78c8b11914","target":"record","created_at":"2026-05-18T00:20:56Z","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":"c262f87ba35b17992c49dffe84f881500de0692b322cff9541c22f8af13e3b25","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-28T18:22:09Z","title_canon_sha256":"9ecfb03d564e6478474475c1a9bfd283aea6ec4608c7f2f95b8c7d8490fa1f3f"},"schema_version":"1.0","source":{"id":"1611.09271","kind":"arxiv","version":1}},"canonical_sha256":"51e1a2db448f94fd07b9067fddd4649a9d474ac79d12cac8efd3df19a83a8218","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51e1a2db448f94fd07b9067fddd4649a9d474ac79d12cac8efd3df19a83a8218","first_computed_at":"2026-05-18T00:20:56.931563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:56.931563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4cIskNDiA/JsN9v61WX7WQ6AUx4/+7SJnDa1+S0DKxjyiDJ8bEeijIGXAcrtlh2YnX/nkm/65Lu2xrquAKbAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:56.932197Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09271","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d39e7bb7427e113173678bf220639e7ae83cf44e2330f3f894f11b78c8b11914","sha256:edd8739a7ecc05ce1b008fa63d8b67495c50e00f79365fde27c49b53c7f922e0"],"state_sha256":"725899c458c1b1759222d3ee83ff656399261ee464ff8ac877d656246282fcc6"}