{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:7JHBL3M4KUX4IOMBNW36IMXFRV","short_pith_number":"pith:7JHBL3M4","canonical_record":{"source":{"id":"1902.08800","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-23T15:07:15Z","cross_cats_sorted":[],"title_canon_sha256":"019f5068c6d76bee3854dd03720fe15fd35028e70b23f8bf19e85a7a018a0e31","abstract_canon_sha256":"3bd95917891a321aa96d5e14b769f9be9ae7fbbcb33d3e13bd038f8a8cf69937"},"schema_version":"1.0"},"canonical_sha256":"fa4e15ed9c552fc439816db7e432e58d5b008d0f456f75ae1cd3103790ba8ada","source":{"kind":"arxiv","id":"1902.08800","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.08800","created_at":"2026-05-17T23:48:30Z"},{"alias_kind":"arxiv_version","alias_value":"1902.08800v2","created_at":"2026-05-17T23:48:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.08800","created_at":"2026-05-17T23:48:30Z"},{"alias_kind":"pith_short_12","alias_value":"7JHBL3M4KUX4","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7JHBL3M4KUX4IOMB","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7JHBL3M4","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:7JHBL3M4KUX4IOMBNW36IMXFRV","target":"record","payload":{"canonical_record":{"source":{"id":"1902.08800","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-23T15:07:15Z","cross_cats_sorted":[],"title_canon_sha256":"019f5068c6d76bee3854dd03720fe15fd35028e70b23f8bf19e85a7a018a0e31","abstract_canon_sha256":"3bd95917891a321aa96d5e14b769f9be9ae7fbbcb33d3e13bd038f8a8cf69937"},"schema_version":"1.0"},"canonical_sha256":"fa4e15ed9c552fc439816db7e432e58d5b008d0f456f75ae1cd3103790ba8ada","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:30.360403Z","signature_b64":"cu1zhH6rphPaxtWsb40+ZNQR1tyFZFJkFuKS2zlo8N5EBkAg82RORWSpchBqQxlIk2Iia+GJEuHX7w42NKf3Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa4e15ed9c552fc439816db7e432e58d5b008d0f456f75ae1cd3103790ba8ada","last_reissued_at":"2026-05-17T23:48:30.359621Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:30.359621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.08800","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:48:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UcWdWtvvSwATZ5UJbm3Lyfcg4bTkQveVNQHGv+41jFSP3NyAwvqP2heF5VxUUv1Xp9k+TyO1EvB6tvUa3Ug6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T12:01:22.130191Z"},"content_sha256":"61530290cc178a79ca4d1c514b4598a91cfa2789da235340c863532e67dbedb8","schema_version":"1.0","event_id":"sha256:61530290cc178a79ca4d1c514b4598a91cfa2789da235340c863532e67dbedb8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:7JHBL3M4KUX4IOMBNW36IMXFRV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonexistence result for a semilinear elliptic problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alexis Molino, Salvador L\\'opez-Mart\\'inez","submitted_at":"2019-02-23T15:07:15Z","abstract_excerpt":"In this paper we prove the nonexistence of nontrivial solution to \\begin{equation*} \\begin{cases} -\\Delta u =f(u) &\\text{in }\\Omega, \\\\ u=0 &\\text{on } \\partial \\Omega, \\end{cases} \\end{equation*} being $\\Omega \\subset \\mathbb{R}^N$ ($N\\in \\mathbb{N}$) a bounded domain and $f$ locally Lispchitz with non-positive primitive."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08800","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:48:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Iwd9k+E/+QZC6a0PuMDp3G/TVcgjsHLboWnbwbbiQ7DYf8mTzj616cuq5DVp9qYSH/T2E5QxWCIu/VT832LBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T12:01:22.130541Z"},"content_sha256":"48497d7f17261b014d847b89fcfcca9957fa1215a90be6de5a2611a6415b788e","schema_version":"1.0","event_id":"sha256:48497d7f17261b014d847b89fcfcca9957fa1215a90be6de5a2611a6415b788e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7JHBL3M4KUX4IOMBNW36IMXFRV/bundle.json","state_url":"https://pith.science/pith/7JHBL3M4KUX4IOMBNW36IMXFRV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7JHBL3M4KUX4IOMBNW36IMXFRV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T12:01:22Z","links":{"resolver":"https://pith.science/pith/7JHBL3M4KUX4IOMBNW36IMXFRV","bundle":"https://pith.science/pith/7JHBL3M4KUX4IOMBNW36IMXFRV/bundle.json","state":"https://pith.science/pith/7JHBL3M4KUX4IOMBNW36IMXFRV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7JHBL3M4KUX4IOMBNW36IMXFRV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7JHBL3M4KUX4IOMBNW36IMXFRV","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":"3bd95917891a321aa96d5e14b769f9be9ae7fbbcb33d3e13bd038f8a8cf69937","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-23T15:07:15Z","title_canon_sha256":"019f5068c6d76bee3854dd03720fe15fd35028e70b23f8bf19e85a7a018a0e31"},"schema_version":"1.0","source":{"id":"1902.08800","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.08800","created_at":"2026-05-17T23:48:30Z"},{"alias_kind":"arxiv_version","alias_value":"1902.08800v2","created_at":"2026-05-17T23:48:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.08800","created_at":"2026-05-17T23:48:30Z"},{"alias_kind":"pith_short_12","alias_value":"7JHBL3M4KUX4","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7JHBL3M4KUX4IOMB","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7JHBL3M4","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:48497d7f17261b014d847b89fcfcca9957fa1215a90be6de5a2611a6415b788e","target":"graph","created_at":"2026-05-17T23:48:30Z","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 this paper we prove the nonexistence of nontrivial solution to \\begin{equation*} \\begin{cases} -\\Delta u =f(u) &\\text{in }\\Omega, \\\\ u=0 &\\text{on } \\partial \\Omega, \\end{cases} \\end{equation*} being $\\Omega \\subset \\mathbb{R}^N$ ($N\\in \\mathbb{N}$) a bounded domain and $f$ locally Lispchitz with non-positive primitive.","authors_text":"Alexis Molino, Salvador L\\'opez-Mart\\'inez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-23T15:07:15Z","title":"Nonexistence result for a semilinear elliptic problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08800","kind":"arxiv","version":2},"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":"sha256:61530290cc178a79ca4d1c514b4598a91cfa2789da235340c863532e67dbedb8","target":"record","created_at":"2026-05-17T23:48:30Z","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":"3bd95917891a321aa96d5e14b769f9be9ae7fbbcb33d3e13bd038f8a8cf69937","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-23T15:07:15Z","title_canon_sha256":"019f5068c6d76bee3854dd03720fe15fd35028e70b23f8bf19e85a7a018a0e31"},"schema_version":"1.0","source":{"id":"1902.08800","kind":"arxiv","version":2}},"canonical_sha256":"fa4e15ed9c552fc439816db7e432e58d5b008d0f456f75ae1cd3103790ba8ada","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa4e15ed9c552fc439816db7e432e58d5b008d0f456f75ae1cd3103790ba8ada","first_computed_at":"2026-05-17T23:48:30.359621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:30.359621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cu1zhH6rphPaxtWsb40+ZNQR1tyFZFJkFuKS2zlo8N5EBkAg82RORWSpchBqQxlIk2Iia+GJEuHX7w42NKf3Bw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:30.360403Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.08800","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61530290cc178a79ca4d1c514b4598a91cfa2789da235340c863532e67dbedb8","sha256:48497d7f17261b014d847b89fcfcca9957fa1215a90be6de5a2611a6415b788e"],"state_sha256":"1d14be153991adf15ba85b8f97b91cfca370fcd629d3b4fe61c3c9e4cdb9615a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MP4frrdfU83zQ8MSKyGP9cxEEL3PkFvrUz7/lTJg2hAzPKtUy+QOxQ39j4gqP7TCj8S7yLKRQjTXQrSka+KgBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T12:01:22.132484Z","bundle_sha256":"37c0b4207fc0314e1bd76d137aba4b247dbe58b749f3435f417967be34639aa1"}}