{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:LN2SMJH6MEXDHDNW7MXGDEMGHH","short_pith_number":"pith:LN2SMJH6","canonical_record":{"source":{"id":"1411.4034","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-14T20:37:02Z","cross_cats_sorted":[],"title_canon_sha256":"e40101a501fadc673577484b004ea276340a4a2e1595d7d684f75b0fb3c4fcb0","abstract_canon_sha256":"2f5f402f163344bc23d6456b61ae5113e64d389049de768a5fa51d618be081f9"},"schema_version":"1.0"},"canonical_sha256":"5b752624fe612e338db6fb2e61918639da301d4998bc4c826e183abbfb1c4464","source":{"kind":"arxiv","id":"1411.4034","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4034","created_at":"2026-05-18T02:35:46Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4034v2","created_at":"2026-05-18T02:35:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4034","created_at":"2026-05-18T02:35:46Z"},{"alias_kind":"pith_short_12","alias_value":"LN2SMJH6MEXD","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LN2SMJH6MEXDHDNW","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LN2SMJH6","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:LN2SMJH6MEXDHDNW7MXGDEMGHH","target":"record","payload":{"canonical_record":{"source":{"id":"1411.4034","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-14T20:37:02Z","cross_cats_sorted":[],"title_canon_sha256":"e40101a501fadc673577484b004ea276340a4a2e1595d7d684f75b0fb3c4fcb0","abstract_canon_sha256":"2f5f402f163344bc23d6456b61ae5113e64d389049de768a5fa51d618be081f9"},"schema_version":"1.0"},"canonical_sha256":"5b752624fe612e338db6fb2e61918639da301d4998bc4c826e183abbfb1c4464","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:46.640031Z","signature_b64":"nzG0Sd11wQDIP9jit9Vw4i0siYmR8TRco/Sl8jGRmujcLefu1hA7UaGvhSPM7qPltaZuB1HOal/aVq7AjR56CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b752624fe612e338db6fb2e61918639da301d4998bc4c826e183abbfb1c4464","last_reissued_at":"2026-05-18T02:35:46.639575Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:46.639575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.4034","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":"2026-05-18T02:35:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j9qOCKpXSPrB8yuQSrAcgg6o7e/oNkcQnZPlVoQ3/+Bmj9o71lybJF3XEOAS86OuDxAVDDHejucE2JMiYP/gDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T11:26:42.060226Z"},"content_sha256":"9475451e2ae517eeb3ffbccde972b27d9ab2bb50911b3ea7ccaf82aa5770e728","schema_version":"1.0","event_id":"sha256:9475451e2ae517eeb3ffbccde972b27d9ab2bb50911b3ea7ccaf82aa5770e728"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:LN2SMJH6MEXDHDNW7MXGDEMGHH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Dirichlet problem for solutions of a restricted nonlinear mean value property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"\\'Angel Arroyo, Jos\\'e G. Llorente","submitted_at":"2014-11-14T20:37:02Z","abstract_excerpt":"We give an analytic proof of the solution of Dirichlet Problem for continous functions satisfying a nonlinear mean value problem related to the p-laplace operator and certain stochastic games."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4034","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":"2026-05-18T02:35:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QBJseI3MGkUx95muy1Dk5E5c1Z8pXhSWQj7xbwAGrRbWqKI/MmE3Vh9rmfi0o8WU0Zhn7AimkChGYSbIi9PRCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T11:26:42.060580Z"},"content_sha256":"9fadf6c428f374969622332f2be7afcd277ce0b8d1b5c0964d627ab2beed7bb0","schema_version":"1.0","event_id":"sha256:9fadf6c428f374969622332f2be7afcd277ce0b8d1b5c0964d627ab2beed7bb0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LN2SMJH6MEXDHDNW7MXGDEMGHH/bundle.json","state_url":"https://pith.science/pith/LN2SMJH6MEXDHDNW7MXGDEMGHH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LN2SMJH6MEXDHDNW7MXGDEMGHH/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":"2026-06-29T11:26:42Z","links":{"resolver":"https://pith.science/pith/LN2SMJH6MEXDHDNW7MXGDEMGHH","bundle":"https://pith.science/pith/LN2SMJH6MEXDHDNW7MXGDEMGHH/bundle.json","state":"https://pith.science/pith/LN2SMJH6MEXDHDNW7MXGDEMGHH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LN2SMJH6MEXDHDNW7MXGDEMGHH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LN2SMJH6MEXDHDNW7MXGDEMGHH","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":"2f5f402f163344bc23d6456b61ae5113e64d389049de768a5fa51d618be081f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-14T20:37:02Z","title_canon_sha256":"e40101a501fadc673577484b004ea276340a4a2e1595d7d684f75b0fb3c4fcb0"},"schema_version":"1.0","source":{"id":"1411.4034","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4034","created_at":"2026-05-18T02:35:46Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4034v2","created_at":"2026-05-18T02:35:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4034","created_at":"2026-05-18T02:35:46Z"},{"alias_kind":"pith_short_12","alias_value":"LN2SMJH6MEXD","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LN2SMJH6MEXDHDNW","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LN2SMJH6","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:9fadf6c428f374969622332f2be7afcd277ce0b8d1b5c0964d627ab2beed7bb0","target":"graph","created_at":"2026-05-18T02:35:46Z","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 give an analytic proof of the solution of Dirichlet Problem for continous functions satisfying a nonlinear mean value problem related to the p-laplace operator and certain stochastic games.","authors_text":"\\'Angel Arroyo, Jos\\'e G. Llorente","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-14T20:37:02Z","title":"On the Dirichlet problem for solutions of a restricted nonlinear mean value property"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4034","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":"sha256:9475451e2ae517eeb3ffbccde972b27d9ab2bb50911b3ea7ccaf82aa5770e728","target":"record","created_at":"2026-05-18T02:35:46Z","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":"2f5f402f163344bc23d6456b61ae5113e64d389049de768a5fa51d618be081f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-14T20:37:02Z","title_canon_sha256":"e40101a501fadc673577484b004ea276340a4a2e1595d7d684f75b0fb3c4fcb0"},"schema_version":"1.0","source":{"id":"1411.4034","kind":"arxiv","version":2}},"canonical_sha256":"5b752624fe612e338db6fb2e61918639da301d4998bc4c826e183abbfb1c4464","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b752624fe612e338db6fb2e61918639da301d4998bc4c826e183abbfb1c4464","first_computed_at":"2026-05-18T02:35:46.639575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:46.639575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nzG0Sd11wQDIP9jit9Vw4i0siYmR8TRco/Sl8jGRmujcLefu1hA7UaGvhSPM7qPltaZuB1HOal/aVq7AjR56CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:46.640031Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4034","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9475451e2ae517eeb3ffbccde972b27d9ab2bb50911b3ea7ccaf82aa5770e728","sha256:9fadf6c428f374969622332f2be7afcd277ce0b8d1b5c0964d627ab2beed7bb0"],"state_sha256":"d0ac19019cde89a3adc3bd7664f6b83176f9b4e079b216d6f0ecb49d5172b2bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8fNjhdQl3n5SzlOZb4ndX3+QmhGlj449a6brqKB1CqHm2BYPzbWckaLUOxSErI2yqHMvEZwNPB2X82aclxFgBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T11:26:42.062365Z","bundle_sha256":"d0834b15892d2aa8a802c05017d014d7573d80005297a9b8bb87ecedbed0111c"}}