{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VLIPUDIJ7ZQTHHL73BPL4TOEYI","short_pith_number":"pith:VLIPUDIJ","canonical_record":{"source":{"id":"1011.4715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-11-22T02:08:34Z","cross_cats_sorted":[],"title_canon_sha256":"f64d9859766b881c844297026dec1ce14e556155b5ba05a162f7adf4877b50b4","abstract_canon_sha256":"2bba4a9762d2ed8ec651016fc5db15c212a31307f4a6a195339f95db4fb5d0ca"},"schema_version":"1.0"},"canonical_sha256":"aad0fa0d09fe61339d7fd85ebe4dc4c23319f35e44ee6e1f8bce7d08436bab83","source":{"kind":"arxiv","id":"1011.4715","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4715","created_at":"2026-05-18T04:35:04Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4715v1","created_at":"2026-05-18T04:35:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4715","created_at":"2026-05-18T04:35:04Z"},{"alias_kind":"pith_short_12","alias_value":"VLIPUDIJ7ZQT","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VLIPUDIJ7ZQTHHL7","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VLIPUDIJ","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VLIPUDIJ7ZQTHHL73BPL4TOEYI","target":"record","payload":{"canonical_record":{"source":{"id":"1011.4715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-11-22T02:08:34Z","cross_cats_sorted":[],"title_canon_sha256":"f64d9859766b881c844297026dec1ce14e556155b5ba05a162f7adf4877b50b4","abstract_canon_sha256":"2bba4a9762d2ed8ec651016fc5db15c212a31307f4a6a195339f95db4fb5d0ca"},"schema_version":"1.0"},"canonical_sha256":"aad0fa0d09fe61339d7fd85ebe4dc4c23319f35e44ee6e1f8bce7d08436bab83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:04.127027Z","signature_b64":"969YhOk2knHkKKDTbiqglM7PFz4cdPVApJpSkS9EYRQpYif2NNXnV8EucXuOydYdNLMVfA2kiygqBAlwUFanAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aad0fa0d09fe61339d7fd85ebe4dc4c23319f35e44ee6e1f8bce7d08436bab83","last_reissued_at":"2026-05-18T04:35:04.126436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:04.126436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.4715","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":"2026-05-18T04:35:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U0YwRROMrlfWMw1fcS4KSxfetjOdr0pH0rnX+HTGpgCat7jPi7aRTusTwx9oqUQJqwyVb/64OY08Y2lfjJefAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T09:52:37.773850Z"},"content_sha256":"f9497da7eead93b7ee751b62a9bf7907b08c2fadf606fb0f50be36d4637510d7","schema_version":"1.0","event_id":"sha256:f9497da7eead93b7ee751b62a9bf7907b08c2fadf606fb0f50be36d4637510d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VLIPUDIJ7ZQTHHL73BPL4TOEYI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Treatment of Incompatible Initial and Boundary Data for Parabolic Equations in Higher Dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Qingshan Chen, Roger Temam, Zhen Qin","submitted_at":"2010-11-22T02:08:34Z","abstract_excerpt":"A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one, this method can be used for any space dimension. When both methods are applicable (in space dimen- sion one), the improvements in precision are comparable, but the method proposed here is not restricted by dimension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4715","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":"2026-05-18T04:35:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KqkTIMPxjX0DneM18cgWBVsns3RfGN1knJNTwLDIMczHOELEBQZO/k6AfaukxfXsX0BP5lAyKLog+pmVSwNBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T09:52:37.774194Z"},"content_sha256":"453c81c6417f749b3f8e1a0e232f4bcbdf7647028b996506e6b2ab9cc87237e1","schema_version":"1.0","event_id":"sha256:453c81c6417f749b3f8e1a0e232f4bcbdf7647028b996506e6b2ab9cc87237e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VLIPUDIJ7ZQTHHL73BPL4TOEYI/bundle.json","state_url":"https://pith.science/pith/VLIPUDIJ7ZQTHHL73BPL4TOEYI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VLIPUDIJ7ZQTHHL73BPL4TOEYI/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":"2026-06-20T09:52:37Z","links":{"resolver":"https://pith.science/pith/VLIPUDIJ7ZQTHHL73BPL4TOEYI","bundle":"https://pith.science/pith/VLIPUDIJ7ZQTHHL73BPL4TOEYI/bundle.json","state":"https://pith.science/pith/VLIPUDIJ7ZQTHHL73BPL4TOEYI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VLIPUDIJ7ZQTHHL73BPL4TOEYI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VLIPUDIJ7ZQTHHL73BPL4TOEYI","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":"2bba4a9762d2ed8ec651016fc5db15c212a31307f4a6a195339f95db4fb5d0ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-11-22T02:08:34Z","title_canon_sha256":"f64d9859766b881c844297026dec1ce14e556155b5ba05a162f7adf4877b50b4"},"schema_version":"1.0","source":{"id":"1011.4715","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4715","created_at":"2026-05-18T04:35:04Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4715v1","created_at":"2026-05-18T04:35:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4715","created_at":"2026-05-18T04:35:04Z"},{"alias_kind":"pith_short_12","alias_value":"VLIPUDIJ7ZQT","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VLIPUDIJ7ZQTHHL7","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VLIPUDIJ","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:453c81c6417f749b3f8e1a0e232f4bcbdf7647028b996506e6b2ab9cc87237e1","target":"graph","created_at":"2026-05-18T04:35:04Z","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":"A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one, this method can be used for any space dimension. When both methods are applicable (in space dimen- sion one), the improvements in precision are comparable, but the method proposed here is not restricted by dimension.","authors_text":"Qingshan Chen, Roger Temam, Zhen Qin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-11-22T02:08:34Z","title":"Treatment of Incompatible Initial and Boundary Data for Parabolic Equations in Higher Dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4715","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:f9497da7eead93b7ee751b62a9bf7907b08c2fadf606fb0f50be36d4637510d7","target":"record","created_at":"2026-05-18T04:35:04Z","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":"2bba4a9762d2ed8ec651016fc5db15c212a31307f4a6a195339f95db4fb5d0ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-11-22T02:08:34Z","title_canon_sha256":"f64d9859766b881c844297026dec1ce14e556155b5ba05a162f7adf4877b50b4"},"schema_version":"1.0","source":{"id":"1011.4715","kind":"arxiv","version":1}},"canonical_sha256":"aad0fa0d09fe61339d7fd85ebe4dc4c23319f35e44ee6e1f8bce7d08436bab83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aad0fa0d09fe61339d7fd85ebe4dc4c23319f35e44ee6e1f8bce7d08436bab83","first_computed_at":"2026-05-18T04:35:04.126436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:04.126436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"969YhOk2knHkKKDTbiqglM7PFz4cdPVApJpSkS9EYRQpYif2NNXnV8EucXuOydYdNLMVfA2kiygqBAlwUFanAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:04.127027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.4715","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9497da7eead93b7ee751b62a9bf7907b08c2fadf606fb0f50be36d4637510d7","sha256:453c81c6417f749b3f8e1a0e232f4bcbdf7647028b996506e6b2ab9cc87237e1"],"state_sha256":"e525fea5694fb84247732642ef1d3561a12f58ee60b48e2b7e0d9b9bc528bb93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R8zpnUSv4s0Sb+olJfQYTZ1DS7UxOfyjSLOaHwLVWCd5P8uRfuxmut+oim5zlL76/s8UlVvidzMrDaajG4SNAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T09:52:37.776277Z","bundle_sha256":"9610210e42e1b463d353dad18cc16c88d7194d470b144e88ce8c5a21ad3f891b"}}