{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Z7Y5LFEMLZR3UTIFR4VSW7PMMV","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":"c71c10178c94c3e97bbd4a9513dba5af2d4e4733ca7737eb4dffd052c8572d02","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-27T06:14:04Z","title_canon_sha256":"0bc13d8136f1110091fb5d462ce8b300ed0990b00dcef11fb6c6c17b5dc957f4"},"schema_version":"1.0","source":{"id":"1902.10346","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.10346","created_at":"2026-05-17T23:52:31Z"},{"alias_kind":"arxiv_version","alias_value":"1902.10346v1","created_at":"2026-05-17T23:52:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.10346","created_at":"2026-05-17T23:52:31Z"},{"alias_kind":"pith_short_12","alias_value":"Z7Y5LFEMLZR3","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"Z7Y5LFEMLZR3UTIF","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"Z7Y5LFEM","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:eb56faef2c83c8074f3566c6644cc0e2f26f2575a742efe1992af9cd6b266d6c","target":"graph","created_at":"2026-05-17T23:52:31Z","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":"We consider the (viscosity) solution $u(x,t)$ of the nonlinear evolution equation $u_t-\\Delta^G_p u=0$ in a (not necessarily bounded) domain $\\Omega$, such that $u=0$ in $\\Omega$ at time $t=0$ and $u=1$ on the boundary of $\\Omega$ at all times. Here, $\\Delta_p^G$ is the game-theoretic $p$-laplacian, a $1$-homogeneous version of the standard $p$-laplacian. Also, we consider the (viscosity) solution $u^\\varepsilon$ of the nonlinear elliptic equation $\\varepsilon^2\\Delta_p^G u^\\varepsilon= u^\\varepsilon$ in $\\Omega$, satisfying $u^\\varepsilon=1$ on its boundary. In this thesis, we establish asymp","authors_text":"Diego Berti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-27T06:14:04Z","title":"Asymptotic analysis of solutions related to the game-theoretic p-laplacian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10346","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:b98ba72044ca2ed352d5d0b05ea42e89cef483b03d36752858be512c17a84cbb","target":"record","created_at":"2026-05-17T23:52:31Z","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":"c71c10178c94c3e97bbd4a9513dba5af2d4e4733ca7737eb4dffd052c8572d02","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-27T06:14:04Z","title_canon_sha256":"0bc13d8136f1110091fb5d462ce8b300ed0990b00dcef11fb6c6c17b5dc957f4"},"schema_version":"1.0","source":{"id":"1902.10346","kind":"arxiv","version":1}},"canonical_sha256":"cff1d5948c5e63ba4d058f2b2b7dec655c740b5849546548b55e73412616ab20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cff1d5948c5e63ba4d058f2b2b7dec655c740b5849546548b55e73412616ab20","first_computed_at":"2026-05-17T23:52:31.127151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:31.127151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Y2kh62sffPx+gSeD9kFihtL2mxTONvqGQfLcYyF9E6AIPoEpZNGz/ge8mV+0tDG+qlJJUs3Q30X0RjyDJ4LCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:31.127649Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.10346","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b98ba72044ca2ed352d5d0b05ea42e89cef483b03d36752858be512c17a84cbb","sha256:eb56faef2c83c8074f3566c6644cc0e2f26f2575a742efe1992af9cd6b266d6c"],"state_sha256":"6a5a0d1b6fff9953bf577d5a7528bace44dac59ed73a457bbb15ba764028588c"}