{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BTVURHBWE5GMRKTO4CXS5YEN5R","short_pith_number":"pith:BTVURHBW","canonical_record":{"source":{"id":"1301.4342","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-01-18T10:33:38Z","cross_cats_sorted":[],"title_canon_sha256":"72c8274e90f1cabfa4915d1925800374a65f4f22fc37cd25e9364cdc0ba4a61c","abstract_canon_sha256":"44d6749fef76565773b452e2000b3e73159e53af359f17f6fabfabc3b15e567d"},"schema_version":"1.0"},"canonical_sha256":"0ceb489c36274cc8aa6ee0af2ee08dec67f9aa13bbe27cfc937c730eff68aa26","source":{"kind":"arxiv","id":"1301.4342","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4342","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4342v1","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4342","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"pith_short_12","alias_value":"BTVURHBWE5GM","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BTVURHBWE5GMRKTO","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BTVURHBW","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BTVURHBWE5GMRKTO4CXS5YEN5R","target":"record","payload":{"canonical_record":{"source":{"id":"1301.4342","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-01-18T10:33:38Z","cross_cats_sorted":[],"title_canon_sha256":"72c8274e90f1cabfa4915d1925800374a65f4f22fc37cd25e9364cdc0ba4a61c","abstract_canon_sha256":"44d6749fef76565773b452e2000b3e73159e53af359f17f6fabfabc3b15e567d"},"schema_version":"1.0"},"canonical_sha256":"0ceb489c36274cc8aa6ee0af2ee08dec67f9aa13bbe27cfc937c730eff68aa26","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:05.604888Z","signature_b64":"ojVCTBY8R/H7lhstxmVW4A4OQVIrIQirehAKFhV+yLtYNJObe3G60EELXaePe5/IIvdekfOD+2ikhnXGIyl7Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ceb489c36274cc8aa6ee0af2ee08dec67f9aa13bbe27cfc937c730eff68aa26","last_reissued_at":"2026-05-18T03:36:05.604148Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:05.604148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.4342","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:36:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5VvHgbKmIgsBAOY2j+7tzdSWfrBap/ZwN5niPO9Kz35ad5fvX8bVrEme9LNQY8VODWsyqesdkhTQ8rcqqz06Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T00:31:58.295148Z"},"content_sha256":"9f6c48b2bce046043fe8f2bf0af95c50c1877f9174a1970c44ef116d01624374","schema_version":"1.0","event_id":"sha256:9f6c48b2bce046043fe8f2bf0af95c50c1877f9174a1970c44ef116d01624374"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BTVURHBWE5GMRKTO4CXS5YEN5R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the discontinuous second-order deviated Dirichlet problem with non-monotone conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Rub\\'en Figueroa","submitted_at":"2013-01-18T10:33:38Z","abstract_excerpt":"We provide a new result on the existence of extremal solutions for second-order Dirichlet problems with deviation argument. As a novelty in this work, the nonlinearity need not be continuous or monotone. In order to obtain this new result, we use a generalized monotone method coupled with lower and upper solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4342","kind":"arxiv","version":1},"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":"2026-05-18T03:36:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ssbvbIHFW4+D6pWLLzQ7fNyXPj6+BpGzzPqc1LMuQW425cqTsuvSQ9uaJF1a4g2ADYpT6lqog4V0oWOvaMFLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T00:31:58.295527Z"},"content_sha256":"25bccc791de4690cd510035e5f690f34ec7fe07bd9eb4ab5d8d715200355c644","schema_version":"1.0","event_id":"sha256:25bccc791de4690cd510035e5f690f34ec7fe07bd9eb4ab5d8d715200355c644"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BTVURHBWE5GMRKTO4CXS5YEN5R/bundle.json","state_url":"https://pith.science/pith/BTVURHBWE5GMRKTO4CXS5YEN5R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BTVURHBWE5GMRKTO4CXS5YEN5R/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":"2026-06-25T00:31:58Z","links":{"resolver":"https://pith.science/pith/BTVURHBWE5GMRKTO4CXS5YEN5R","bundle":"https://pith.science/pith/BTVURHBWE5GMRKTO4CXS5YEN5R/bundle.json","state":"https://pith.science/pith/BTVURHBWE5GMRKTO4CXS5YEN5R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BTVURHBWE5GMRKTO4CXS5YEN5R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BTVURHBWE5GMRKTO4CXS5YEN5R","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":"44d6749fef76565773b452e2000b3e73159e53af359f17f6fabfabc3b15e567d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-01-18T10:33:38Z","title_canon_sha256":"72c8274e90f1cabfa4915d1925800374a65f4f22fc37cd25e9364cdc0ba4a61c"},"schema_version":"1.0","source":{"id":"1301.4342","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4342","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4342v1","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4342","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"pith_short_12","alias_value":"BTVURHBWE5GM","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BTVURHBWE5GMRKTO","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BTVURHBW","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:25bccc791de4690cd510035e5f690f34ec7fe07bd9eb4ab5d8d715200355c644","target":"graph","created_at":"2026-05-18T03:36:05Z","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 provide a new result on the existence of extremal solutions for second-order Dirichlet problems with deviation argument. As a novelty in this work, the nonlinearity need not be continuous or monotone. In order to obtain this new result, we use a generalized monotone method coupled with lower and upper solutions.","authors_text":"Rub\\'en Figueroa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-01-18T10:33:38Z","title":"On the discontinuous second-order deviated Dirichlet problem with non-monotone conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4342","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":"sha256:9f6c48b2bce046043fe8f2bf0af95c50c1877f9174a1970c44ef116d01624374","target":"record","created_at":"2026-05-18T03:36:05Z","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":"44d6749fef76565773b452e2000b3e73159e53af359f17f6fabfabc3b15e567d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-01-18T10:33:38Z","title_canon_sha256":"72c8274e90f1cabfa4915d1925800374a65f4f22fc37cd25e9364cdc0ba4a61c"},"schema_version":"1.0","source":{"id":"1301.4342","kind":"arxiv","version":1}},"canonical_sha256":"0ceb489c36274cc8aa6ee0af2ee08dec67f9aa13bbe27cfc937c730eff68aa26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ceb489c36274cc8aa6ee0af2ee08dec67f9aa13bbe27cfc937c730eff68aa26","first_computed_at":"2026-05-18T03:36:05.604148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:05.604148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ojVCTBY8R/H7lhstxmVW4A4OQVIrIQirehAKFhV+yLtYNJObe3G60EELXaePe5/IIvdekfOD+2ikhnXGIyl7Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:05.604888Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.4342","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f6c48b2bce046043fe8f2bf0af95c50c1877f9174a1970c44ef116d01624374","sha256:25bccc791de4690cd510035e5f690f34ec7fe07bd9eb4ab5d8d715200355c644"],"state_sha256":"9bf3c647fa8a9c6b69f5f937d96689625db98888962d048007b4d9fb5d878b12"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zgbc9GC2ulz6s/H4x4NCjd1zYgfP+Tzvbr3Ms6XeH1/qb/4XQbsnuVDfvhWPl8bfBg3aSt+pUiYwu3ZRCxvSDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T00:31:58.297483Z","bundle_sha256":"fe0d369cd7eb1561744426be40c381da62b4f5dc028d07a27005c4f6cffcd856"}}