{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:B3SOQR3QR33QG3W23OHS5IUYGG","short_pith_number":"pith:B3SOQR3Q","canonical_record":{"source":{"id":"1501.00209","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-31T21:14:21Z","cross_cats_sorted":[],"title_canon_sha256":"add51dd4691c5d865957b24dec0f69f692911e2e6a3fa77e43e4ebbd6b15f8b9","abstract_canon_sha256":"1fd283b43a56418b29814aaa60700148d5431c8a9ceab50af66b11b672dc9b2b"},"schema_version":"1.0"},"canonical_sha256":"0ee4e847708ef7036edadb8f2ea29831834878b92db8305a6a42062956f430be","source":{"kind":"arxiv","id":"1501.00209","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00209","created_at":"2026-05-18T02:30:09Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00209v1","created_at":"2026-05-18T02:30:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00209","created_at":"2026-05-18T02:30:09Z"},{"alias_kind":"pith_short_12","alias_value":"B3SOQR3QR33Q","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"B3SOQR3QR33QG3W2","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"B3SOQR3Q","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:B3SOQR3QR33QG3W23OHS5IUYGG","target":"record","payload":{"canonical_record":{"source":{"id":"1501.00209","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-31T21:14:21Z","cross_cats_sorted":[],"title_canon_sha256":"add51dd4691c5d865957b24dec0f69f692911e2e6a3fa77e43e4ebbd6b15f8b9","abstract_canon_sha256":"1fd283b43a56418b29814aaa60700148d5431c8a9ceab50af66b11b672dc9b2b"},"schema_version":"1.0"},"canonical_sha256":"0ee4e847708ef7036edadb8f2ea29831834878b92db8305a6a42062956f430be","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:09.851395Z","signature_b64":"gA7+wlgAmj63JNh6w6Ed3QDvg2vAwilRXrVo+weSUl6ql9pTeswjeesRKT4I4w3dVlLiL2ct6kvN+dlDNElaBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ee4e847708ef7036edadb8f2ea29831834878b92db8305a6a42062956f430be","last_reissued_at":"2026-05-18T02:30:09.850978Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:09.850978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.00209","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":"2026-05-18T02:30:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1G5zA59RA/P7QaZEEKElt8L0DB1/tJOH2buTzHQBXPhlklxpEQdy6r/gcae0yXBa2fE/Ul+t8Kx0bhZ/zhAGDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T00:06:37.252078Z"},"content_sha256":"93f34493c132f7119c06f6ca6608f469bdd97541560204879fd44ddbd2eb0b45","schema_version":"1.0","event_id":"sha256:93f34493c132f7119c06f6ca6608f469bdd97541560204879fd44ddbd2eb0b45"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:B3SOQR3QR33QG3W23OHS5IUYGG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Dirichlet problem at the Martin boundary of a fine domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bent Fuglede, Mohamed El Kadiri","submitted_at":"2014-12-31T21:14:21Z","abstract_excerpt":"We develop the Perron-Wiener-Brelot method of solving the Dirichlet problem at the Martin boundary of a fine domain in $\\RR^n$ ($n\\ge2$)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00209","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":"2026-05-18T02:30:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gBs1kIJg+WD5u6Fuz3SF53HuBsUmOVzKfOtN4YoMdpSB5VX241Mv5Ub3UK7qlGIg9J7DJ3NA/rUC+sHSBmpBCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T00:06:37.252455Z"},"content_sha256":"9e1a41d8d26e90cd51d2548058d56ab403f73f7a873b9b0fba2d8e06b0b97ddb","schema_version":"1.0","event_id":"sha256:9e1a41d8d26e90cd51d2548058d56ab403f73f7a873b9b0fba2d8e06b0b97ddb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B3SOQR3QR33QG3W23OHS5IUYGG/bundle.json","state_url":"https://pith.science/pith/B3SOQR3QR33QG3W23OHS5IUYGG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B3SOQR3QR33QG3W23OHS5IUYGG/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":"2026-06-26T00:06:37Z","links":{"resolver":"https://pith.science/pith/B3SOQR3QR33QG3W23OHS5IUYGG","bundle":"https://pith.science/pith/B3SOQR3QR33QG3W23OHS5IUYGG/bundle.json","state":"https://pith.science/pith/B3SOQR3QR33QG3W23OHS5IUYGG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B3SOQR3QR33QG3W23OHS5IUYGG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:B3SOQR3QR33QG3W23OHS5IUYGG","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":"1fd283b43a56418b29814aaa60700148d5431c8a9ceab50af66b11b672dc9b2b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-31T21:14:21Z","title_canon_sha256":"add51dd4691c5d865957b24dec0f69f692911e2e6a3fa77e43e4ebbd6b15f8b9"},"schema_version":"1.0","source":{"id":"1501.00209","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00209","created_at":"2026-05-18T02:30:09Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00209v1","created_at":"2026-05-18T02:30:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00209","created_at":"2026-05-18T02:30:09Z"},{"alias_kind":"pith_short_12","alias_value":"B3SOQR3QR33Q","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"B3SOQR3QR33QG3W2","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"B3SOQR3Q","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:9e1a41d8d26e90cd51d2548058d56ab403f73f7a873b9b0fba2d8e06b0b97ddb","target":"graph","created_at":"2026-05-18T02:30:09Z","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 develop the Perron-Wiener-Brelot method of solving the Dirichlet problem at the Martin boundary of a fine domain in $\\RR^n$ ($n\\ge2$).","authors_text":"Bent Fuglede, Mohamed El Kadiri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-31T21:14:21Z","title":"The Dirichlet problem at the Martin boundary of a fine domain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00209","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":"sha256:93f34493c132f7119c06f6ca6608f469bdd97541560204879fd44ddbd2eb0b45","target":"record","created_at":"2026-05-18T02:30:09Z","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":"1fd283b43a56418b29814aaa60700148d5431c8a9ceab50af66b11b672dc9b2b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-31T21:14:21Z","title_canon_sha256":"add51dd4691c5d865957b24dec0f69f692911e2e6a3fa77e43e4ebbd6b15f8b9"},"schema_version":"1.0","source":{"id":"1501.00209","kind":"arxiv","version":1}},"canonical_sha256":"0ee4e847708ef7036edadb8f2ea29831834878b92db8305a6a42062956f430be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ee4e847708ef7036edadb8f2ea29831834878b92db8305a6a42062956f430be","first_computed_at":"2026-05-18T02:30:09.850978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:09.850978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gA7+wlgAmj63JNh6w6Ed3QDvg2vAwilRXrVo+weSUl6ql9pTeswjeesRKT4I4w3dVlLiL2ct6kvN+dlDNElaBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:09.851395Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.00209","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93f34493c132f7119c06f6ca6608f469bdd97541560204879fd44ddbd2eb0b45","sha256:9e1a41d8d26e90cd51d2548058d56ab403f73f7a873b9b0fba2d8e06b0b97ddb"],"state_sha256":"649daa55e1a53e2db6094aa6263b1da9c634bb5d2cbe4a2bf70ab9ac238ea11a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l5gnFmP/Hd6l2uRmbvCzSpW0JhMthsjTEoqj38MiX5ZzJ9dx3nsbGqNvJHTmJgJteC7lrziWPH1Hn+O+YOz2Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T00:06:37.254404Z","bundle_sha256":"92032350c2b6886bffb20b2024536cc37a4675b41afb6215f33a609dc11f38ee"}}