{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HWYDQMJWFYXAPVMYPFUJQEIP6Y","short_pith_number":"pith:HWYDQMJW","canonical_record":{"source":{"id":"1804.10972","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-29T18:19:46Z","cross_cats_sorted":[],"title_canon_sha256":"48fad148e3de63eb0f4fdcee41b1a8f8cd4304a2f425f901d8443c8d2cff8d1c","abstract_canon_sha256":"38999ee710621f1bae78538af184674a22643e81493859cd319c63dabf62e768"},"schema_version":"1.0"},"canonical_sha256":"3db03831362e2e07d598796898110ff61010c6afd8182a99d8e38484ce5e24e5","source":{"kind":"arxiv","id":"1804.10972","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10972","created_at":"2026-05-17T23:39:49Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10972v1","created_at":"2026-05-17T23:39:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10972","created_at":"2026-05-17T23:39:49Z"},{"alias_kind":"pith_short_12","alias_value":"HWYDQMJWFYXA","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HWYDQMJWFYXAPVMY","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HWYDQMJW","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HWYDQMJWFYXAPVMYPFUJQEIP6Y","target":"record","payload":{"canonical_record":{"source":{"id":"1804.10972","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-29T18:19:46Z","cross_cats_sorted":[],"title_canon_sha256":"48fad148e3de63eb0f4fdcee41b1a8f8cd4304a2f425f901d8443c8d2cff8d1c","abstract_canon_sha256":"38999ee710621f1bae78538af184674a22643e81493859cd319c63dabf62e768"},"schema_version":"1.0"},"canonical_sha256":"3db03831362e2e07d598796898110ff61010c6afd8182a99d8e38484ce5e24e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:49.011604Z","signature_b64":"PVZm+Kfe4er19nhpqEeeZonxKuDcyomYtNE4rZBki2GRU3zM0w5lUa4XE2pq9ChM4DFU7/uEw8SLKIeIlbHyCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3db03831362e2e07d598796898110ff61010c6afd8182a99d8e38484ce5e24e5","last_reissued_at":"2026-05-17T23:39:49.011036Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:49.011036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.10972","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":"2026-05-17T23:39:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3iDQgy5Yj/wdT9pDDYceBZ8rrZfN8qmFOXyOlQXS7WNysP6t+JZQFuVkOY/9DLfBEP2B1qho2ngs/ctvg/gyCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T12:06:29.968635Z"},"content_sha256":"f13f15112afa4f7b0658de4d2d921a0495cd12012f182fce2f995067f2bba53b","schema_version":"1.0","event_id":"sha256:f13f15112afa4f7b0658de4d2d921a0495cd12012f182fce2f995067f2bba53b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HWYDQMJWFYXAPVMYPFUJQEIP6Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An adaptive local discrete convolution method for the numerical solution of Maxwell's equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Boris Lo, Phillip Colella","submitted_at":"2018-04-29T18:19:46Z","abstract_excerpt":"We present a numerical method for solving the free-space Maxwell's equations in three dimensions using compact convolution kernels on a rectangular grid. We first rewrite Maxwell's Equations as a system of wave equations with auxiliary variables and discretize its solution from the method of spherical means. The algorithm has been extended to be used on a locally-refined nested hierarchy of rectangular grids."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10972","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":"2026-05-17T23:39:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"crwvX+IUrxsD+zXN5WUS1QxndTVIoFhDE0sFKsI7v57geT2F7/a8X9x2fb2Z5DweDt0IrX9Jhl2UUWHRxkIxBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T12:06:29.969337Z"},"content_sha256":"4c22b122ceb8d05be586ead4c27b1197f8f6e6d9eed61cfabb2457bbe6d87858","schema_version":"1.0","event_id":"sha256:4c22b122ceb8d05be586ead4c27b1197f8f6e6d9eed61cfabb2457bbe6d87858"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HWYDQMJWFYXAPVMYPFUJQEIP6Y/bundle.json","state_url":"https://pith.science/pith/HWYDQMJWFYXAPVMYPFUJQEIP6Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HWYDQMJWFYXAPVMYPFUJQEIP6Y/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":"2026-05-22T12:06:29Z","links":{"resolver":"https://pith.science/pith/HWYDQMJWFYXAPVMYPFUJQEIP6Y","bundle":"https://pith.science/pith/HWYDQMJWFYXAPVMYPFUJQEIP6Y/bundle.json","state":"https://pith.science/pith/HWYDQMJWFYXAPVMYPFUJQEIP6Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HWYDQMJWFYXAPVMYPFUJQEIP6Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HWYDQMJWFYXAPVMYPFUJQEIP6Y","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":"38999ee710621f1bae78538af184674a22643e81493859cd319c63dabf62e768","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-29T18:19:46Z","title_canon_sha256":"48fad148e3de63eb0f4fdcee41b1a8f8cd4304a2f425f901d8443c8d2cff8d1c"},"schema_version":"1.0","source":{"id":"1804.10972","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10972","created_at":"2026-05-17T23:39:49Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10972v1","created_at":"2026-05-17T23:39:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10972","created_at":"2026-05-17T23:39:49Z"},{"alias_kind":"pith_short_12","alias_value":"HWYDQMJWFYXA","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HWYDQMJWFYXAPVMY","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HWYDQMJW","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:4c22b122ceb8d05be586ead4c27b1197f8f6e6d9eed61cfabb2457bbe6d87858","target":"graph","created_at":"2026-05-17T23:39:49Z","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 present a numerical method for solving the free-space Maxwell's equations in three dimensions using compact convolution kernels on a rectangular grid. We first rewrite Maxwell's Equations as a system of wave equations with auxiliary variables and discretize its solution from the method of spherical means. The algorithm has been extended to be used on a locally-refined nested hierarchy of rectangular grids.","authors_text":"Boris Lo, Phillip Colella","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-29T18:19:46Z","title":"An adaptive local discrete convolution method for the numerical solution of Maxwell's equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10972","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:f13f15112afa4f7b0658de4d2d921a0495cd12012f182fce2f995067f2bba53b","target":"record","created_at":"2026-05-17T23:39:49Z","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":"38999ee710621f1bae78538af184674a22643e81493859cd319c63dabf62e768","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-29T18:19:46Z","title_canon_sha256":"48fad148e3de63eb0f4fdcee41b1a8f8cd4304a2f425f901d8443c8d2cff8d1c"},"schema_version":"1.0","source":{"id":"1804.10972","kind":"arxiv","version":1}},"canonical_sha256":"3db03831362e2e07d598796898110ff61010c6afd8182a99d8e38484ce5e24e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3db03831362e2e07d598796898110ff61010c6afd8182a99d8e38484ce5e24e5","first_computed_at":"2026-05-17T23:39:49.011036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:49.011036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PVZm+Kfe4er19nhpqEeeZonxKuDcyomYtNE4rZBki2GRU3zM0w5lUa4XE2pq9ChM4DFU7/uEw8SLKIeIlbHyCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:49.011604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10972","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f13f15112afa4f7b0658de4d2d921a0495cd12012f182fce2f995067f2bba53b","sha256:4c22b122ceb8d05be586ead4c27b1197f8f6e6d9eed61cfabb2457bbe6d87858"],"state_sha256":"77739f3d5f865149726ffb5a0f44fa675162420e95671b198fb14153cfe93729"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KG8n1DKnW0faS1VOTKS1S5ebaOGdpTSyFq2M3iBp4Y1DbBs1JXyAxeGxLEvMiC60NF9TtJr4Y374u3M9U1trCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T12:06:29.977405Z","bundle_sha256":"4069ed539ac9c567183483d9c4f526319caa81d3befd22810e5594717597ef1f"}}