{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OK7B4ZIUAFQ3ZILOIDOGEJ3VKH","short_pith_number":"pith:OK7B4ZIU","canonical_record":{"source":{"id":"1811.12906","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-30T17:32:17Z","cross_cats_sorted":[],"title_canon_sha256":"c4710a4627d975a3427e5baaf258b5f157745c168e0cd885c878664d3c5fcb2e","abstract_canon_sha256":"f8feb565ca44d2666065fed91be3942a6930a9a9c6cf37974335b5cafa92129c"},"schema_version":"1.0"},"canonical_sha256":"72be1e65140161bca16e40dc62277551dc056988aef49ed9d1facd0fe7e8d82d","source":{"kind":"arxiv","id":"1811.12906","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.12906","created_at":"2026-05-17T23:59:28Z"},{"alias_kind":"arxiv_version","alias_value":"1811.12906v1","created_at":"2026-05-17T23:59:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.12906","created_at":"2026-05-17T23:59:28Z"},{"alias_kind":"pith_short_12","alias_value":"OK7B4ZIUAFQ3","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OK7B4ZIUAFQ3ZILO","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OK7B4ZIU","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OK7B4ZIUAFQ3ZILOIDOGEJ3VKH","target":"record","payload":{"canonical_record":{"source":{"id":"1811.12906","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-30T17:32:17Z","cross_cats_sorted":[],"title_canon_sha256":"c4710a4627d975a3427e5baaf258b5f157745c168e0cd885c878664d3c5fcb2e","abstract_canon_sha256":"f8feb565ca44d2666065fed91be3942a6930a9a9c6cf37974335b5cafa92129c"},"schema_version":"1.0"},"canonical_sha256":"72be1e65140161bca16e40dc62277551dc056988aef49ed9d1facd0fe7e8d82d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:28.194176Z","signature_b64":"TRtBAhZtRkEEDEI0TWMePzMowMcx6frsiqC3F5HX0DY6uvsloy5+fxkCIXzlEKX8QELIhxPHro0BV+LDvqXsBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72be1e65140161bca16e40dc62277551dc056988aef49ed9d1facd0fe7e8d82d","last_reissued_at":"2026-05-17T23:59:28.193721Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:28.193721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.12906","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":"2026-05-17T23:59:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mA5DVVIGH91H9LYH8175aqC5D0emaCY8Hc9KlhibhZahfGDCXGaafY0zZB0FKPxc74FjVC6PWiCKbXxz2rTJBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:03:03.347167Z"},"content_sha256":"a5e118cc79dc8cadb2cb8e0cbe2f082716f57b246739d5bfeb060ea4c92c4a15","schema_version":"1.0","event_id":"sha256:a5e118cc79dc8cadb2cb8e0cbe2f082716f57b246739d5bfeb060ea4c92c4a15"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OK7B4ZIUAFQ3ZILOIDOGEJ3VKH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On generalizations of the Synge-K\\v{r}\\'{i}\\v{z}ek maximum angle condition for $d$-simplices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ali Khademi, Jon Eivind Vatne, Sergey Korotov","submitted_at":"2018-11-30T17:32:17Z","abstract_excerpt":"In this note we present a generalization of the maximum angle condition, proposed by J. L. Synge in 1957 and M. K\\v{r}\\'{i}\\v{z}ek in 1992 for triangular and tetrahedral elements, respectively, for the case of higher-dimensional simplicial finite elements. Its relations to the other angle-type conditions commonly used in finite element methods are analysed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.12906","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":"2026-05-17T23:59:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rAd/GVBAf/mbR6WanUAywHu73NE/CzoCPO4dnkLlMeBbIB0TTQWiJVG7ayeUvJcmFx6Oq5eeYtdNYhHPcRMZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:03:03.348416Z"},"content_sha256":"baa217ae5655a1ebc01b8088ce40359683f25b75dae7f35dc7e752a9aca2d193","schema_version":"1.0","event_id":"sha256:baa217ae5655a1ebc01b8088ce40359683f25b75dae7f35dc7e752a9aca2d193"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OK7B4ZIUAFQ3ZILOIDOGEJ3VKH/bundle.json","state_url":"https://pith.science/pith/OK7B4ZIUAFQ3ZILOIDOGEJ3VKH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OK7B4ZIUAFQ3ZILOIDOGEJ3VKH/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":"2026-06-05T20:03:03Z","links":{"resolver":"https://pith.science/pith/OK7B4ZIUAFQ3ZILOIDOGEJ3VKH","bundle":"https://pith.science/pith/OK7B4ZIUAFQ3ZILOIDOGEJ3VKH/bundle.json","state":"https://pith.science/pith/OK7B4ZIUAFQ3ZILOIDOGEJ3VKH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OK7B4ZIUAFQ3ZILOIDOGEJ3VKH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OK7B4ZIUAFQ3ZILOIDOGEJ3VKH","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":"f8feb565ca44d2666065fed91be3942a6930a9a9c6cf37974335b5cafa92129c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-30T17:32:17Z","title_canon_sha256":"c4710a4627d975a3427e5baaf258b5f157745c168e0cd885c878664d3c5fcb2e"},"schema_version":"1.0","source":{"id":"1811.12906","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.12906","created_at":"2026-05-17T23:59:28Z"},{"alias_kind":"arxiv_version","alias_value":"1811.12906v1","created_at":"2026-05-17T23:59:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.12906","created_at":"2026-05-17T23:59:28Z"},{"alias_kind":"pith_short_12","alias_value":"OK7B4ZIUAFQ3","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OK7B4ZIUAFQ3ZILO","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OK7B4ZIU","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:baa217ae5655a1ebc01b8088ce40359683f25b75dae7f35dc7e752a9aca2d193","target":"graph","created_at":"2026-05-17T23:59:28Z","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":"In this note we present a generalization of the maximum angle condition, proposed by J. L. Synge in 1957 and M. K\\v{r}\\'{i}\\v{z}ek in 1992 for triangular and tetrahedral elements, respectively, for the case of higher-dimensional simplicial finite elements. Its relations to the other angle-type conditions commonly used in finite element methods are analysed.","authors_text":"Ali Khademi, Jon Eivind Vatne, Sergey Korotov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-30T17:32:17Z","title":"On generalizations of the Synge-K\\v{r}\\'{i}\\v{z}ek maximum angle condition for $d$-simplices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.12906","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:a5e118cc79dc8cadb2cb8e0cbe2f082716f57b246739d5bfeb060ea4c92c4a15","target":"record","created_at":"2026-05-17T23:59:28Z","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":"f8feb565ca44d2666065fed91be3942a6930a9a9c6cf37974335b5cafa92129c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-11-30T17:32:17Z","title_canon_sha256":"c4710a4627d975a3427e5baaf258b5f157745c168e0cd885c878664d3c5fcb2e"},"schema_version":"1.0","source":{"id":"1811.12906","kind":"arxiv","version":1}},"canonical_sha256":"72be1e65140161bca16e40dc62277551dc056988aef49ed9d1facd0fe7e8d82d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72be1e65140161bca16e40dc62277551dc056988aef49ed9d1facd0fe7e8d82d","first_computed_at":"2026-05-17T23:59:28.193721Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:28.193721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TRtBAhZtRkEEDEI0TWMePzMowMcx6frsiqC3F5HX0DY6uvsloy5+fxkCIXzlEKX8QELIhxPHro0BV+LDvqXsBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:28.194176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.12906","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5e118cc79dc8cadb2cb8e0cbe2f082716f57b246739d5bfeb060ea4c92c4a15","sha256:baa217ae5655a1ebc01b8088ce40359683f25b75dae7f35dc7e752a9aca2d193"],"state_sha256":"53237e5e8b393f897b865cf1f0acc6f594a18ba9930be8e55abc910700ad2734"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VbeHR+kTKJzzm629CeHkUGVuHfQVZCaR/sAa+auc5LEs4ksQj/g1Qp/FDnpiIMLz8hLKLYvAgqgw+CjrYy++Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:03:03.351344Z","bundle_sha256":"ac03a335e657235d033490557cc1fa8fc4674e509f6f06042c7aefc6ffb6ee98"}}