{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TKHK22YACY2XWBITZ7Z423E3LG","short_pith_number":"pith:TKHK22YA","canonical_record":{"source":{"id":"1304.7125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-26T11:08:23Z","cross_cats_sorted":[],"title_canon_sha256":"b15bfe983e992d930aeec584fa81d6165f1e88b953a2502cf0a8816db32278ff","abstract_canon_sha256":"3da59e77c7f84707fcd3aa4269fbd7bd30b6a28b53791bbabfe2f7363e94f198"},"schema_version":"1.0"},"canonical_sha256":"9a8ead6b0016357b0513cff3cd6c9b59817dc3940c504c45d45e0842a0dec066","source":{"kind":"arxiv","id":"1304.7125","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7125","created_at":"2026-05-18T03:27:02Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7125v1","created_at":"2026-05-18T03:27:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7125","created_at":"2026-05-18T03:27:02Z"},{"alias_kind":"pith_short_12","alias_value":"TKHK22YACY2X","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TKHK22YACY2XWBIT","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TKHK22YA","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TKHK22YACY2XWBITZ7Z423E3LG","target":"record","payload":{"canonical_record":{"source":{"id":"1304.7125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-26T11:08:23Z","cross_cats_sorted":[],"title_canon_sha256":"b15bfe983e992d930aeec584fa81d6165f1e88b953a2502cf0a8816db32278ff","abstract_canon_sha256":"3da59e77c7f84707fcd3aa4269fbd7bd30b6a28b53791bbabfe2f7363e94f198"},"schema_version":"1.0"},"canonical_sha256":"9a8ead6b0016357b0513cff3cd6c9b59817dc3940c504c45d45e0842a0dec066","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:02.520434Z","signature_b64":"KaOmyrynfVGeX04E0CiFNJzoYguljsunJXWgXmFAypX86DwNMs8p79lGbYw3IJzmZYQTwwYf+rVQWfOdAaMMAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a8ead6b0016357b0513cff3cd6c9b59817dc3940c504c45d45e0842a0dec066","last_reissued_at":"2026-05-18T03:27:02.520068Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:02.520068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.7125","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":"2026-05-18T03:27:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VpNybobFeAJrHD6TFFkLUSx00Pi6tywlUpruLYoQtiPNAiAo2pauX26l3X6PtvCHPBo+tdXXBaKyQZY1OuHFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:04:27.410507Z"},"content_sha256":"7b7ee3a45f6af9d6789fbd8845750e4e3541e7ff52dea495ed16975e203a78e1","schema_version":"1.0","event_id":"sha256:7b7ee3a45f6af9d6789fbd8845750e4e3541e7ff52dea495ed16975e203a78e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TKHK22YACY2XWBITZ7Z423E3LG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beyond the mesh handling Maxwell's curl equations with an unconditionally leapfrog stable scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Elisa Francomano, Guido Ala","submitted_at":"2013-04-26T11:08:23Z","abstract_excerpt":"Numerical solution of equations governing time domain simulations in computational electromagnetics, is usually based on grid methods in space and on explicit schemes for the time evolution. A predefined grid in the problem domain and a stability step size restriction must be accepted. Evidence is given that efforts need for overcoming these heavy constraints. Recently, the authors developed a meshless method to avoid the connective laws among the points scattered in the problem domain. Despite the good spatial properties, the numerical explicit integration used in the original formulation of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7125","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":"2026-05-18T03:27:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C0gn+M+WUHI6DfDZ61Lrg3597hAYuJpj81r8kvOcDOfhvF1elFnSm/XNLQ97CWAavQ0Pd+4sRVy+0ybcw2DWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:04:27.410843Z"},"content_sha256":"6476b5424f1d8b6cc7b8f7ce078f0de970fbb538714eb1ceee69196244855e87","schema_version":"1.0","event_id":"sha256:6476b5424f1d8b6cc7b8f7ce078f0de970fbb538714eb1ceee69196244855e87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TKHK22YACY2XWBITZ7Z423E3LG/bundle.json","state_url":"https://pith.science/pith/TKHK22YACY2XWBITZ7Z423E3LG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TKHK22YACY2XWBITZ7Z423E3LG/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":"2026-06-02T04:04:27Z","links":{"resolver":"https://pith.science/pith/TKHK22YACY2XWBITZ7Z423E3LG","bundle":"https://pith.science/pith/TKHK22YACY2XWBITZ7Z423E3LG/bundle.json","state":"https://pith.science/pith/TKHK22YACY2XWBITZ7Z423E3LG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TKHK22YACY2XWBITZ7Z423E3LG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TKHK22YACY2XWBITZ7Z423E3LG","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":"3da59e77c7f84707fcd3aa4269fbd7bd30b6a28b53791bbabfe2f7363e94f198","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-26T11:08:23Z","title_canon_sha256":"b15bfe983e992d930aeec584fa81d6165f1e88b953a2502cf0a8816db32278ff"},"schema_version":"1.0","source":{"id":"1304.7125","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7125","created_at":"2026-05-18T03:27:02Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7125v1","created_at":"2026-05-18T03:27:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7125","created_at":"2026-05-18T03:27:02Z"},{"alias_kind":"pith_short_12","alias_value":"TKHK22YACY2X","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TKHK22YACY2XWBIT","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TKHK22YA","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:6476b5424f1d8b6cc7b8f7ce078f0de970fbb538714eb1ceee69196244855e87","target":"graph","created_at":"2026-05-18T03:27:02Z","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":"Numerical solution of equations governing time domain simulations in computational electromagnetics, is usually based on grid methods in space and on explicit schemes for the time evolution. A predefined grid in the problem domain and a stability step size restriction must be accepted. Evidence is given that efforts need for overcoming these heavy constraints. Recently, the authors developed a meshless method to avoid the connective laws among the points scattered in the problem domain. Despite the good spatial properties, the numerical explicit integration used in the original formulation of ","authors_text":"Elisa Francomano, Guido Ala","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-26T11:08:23Z","title":"Beyond the mesh handling Maxwell's curl equations with an unconditionally leapfrog stable scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7125","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":"sha256:7b7ee3a45f6af9d6789fbd8845750e4e3541e7ff52dea495ed16975e203a78e1","target":"record","created_at":"2026-05-18T03:27:02Z","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":"3da59e77c7f84707fcd3aa4269fbd7bd30b6a28b53791bbabfe2f7363e94f198","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-04-26T11:08:23Z","title_canon_sha256":"b15bfe983e992d930aeec584fa81d6165f1e88b953a2502cf0a8816db32278ff"},"schema_version":"1.0","source":{"id":"1304.7125","kind":"arxiv","version":1}},"canonical_sha256":"9a8ead6b0016357b0513cff3cd6c9b59817dc3940c504c45d45e0842a0dec066","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a8ead6b0016357b0513cff3cd6c9b59817dc3940c504c45d45e0842a0dec066","first_computed_at":"2026-05-18T03:27:02.520068Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:02.520068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KaOmyrynfVGeX04E0CiFNJzoYguljsunJXWgXmFAypX86DwNMs8p79lGbYw3IJzmZYQTwwYf+rVQWfOdAaMMAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:02.520434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.7125","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b7ee3a45f6af9d6789fbd8845750e4e3541e7ff52dea495ed16975e203a78e1","sha256:6476b5424f1d8b6cc7b8f7ce078f0de970fbb538714eb1ceee69196244855e87"],"state_sha256":"1209e04cc05153f0c47bc8152896394c2d563f6c266307b0ee63651caad23c5c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lguPraNeyAQvqePb5b/2D8DDw5qK1uOQEh0avSty7daVTOFMcw1IfMU8G4sgCTMhOaJuR7qoqB4vU6fRLiYtAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:04:27.412614Z","bundle_sha256":"e7f9eb55c44ecd5deb1b40cb647304f63e6846a1b4c01d0f439c907c7e59468a"}}