{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HEFYSBWSRZ7K474P7V2XQ55MUN","short_pith_number":"pith:HEFYSBWS","canonical_record":{"source":{"id":"1509.07016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-23T14:56:48Z","cross_cats_sorted":[],"title_canon_sha256":"32e61375a59f4cbc0c602a3d0769e217d5708a7d80332cd4f79413b8ad8b539a","abstract_canon_sha256":"ea5b0916aff8bba68f26d4a09edf0442308e7799c0d1729fa19ce27f80e0bea3"},"schema_version":"1.0"},"canonical_sha256":"390b8906d28e7eae7f8ffd757877aca36b905fa86b1a3a094cd4ea934df0a1e0","source":{"kind":"arxiv","id":"1509.07016","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07016","created_at":"2026-05-18T01:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07016v1","created_at":"2026-05-18T01:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07016","created_at":"2026-05-18T01:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"HEFYSBWSRZ7K","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HEFYSBWSRZ7K474P","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HEFYSBWS","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HEFYSBWSRZ7K474P7V2XQ55MUN","target":"record","payload":{"canonical_record":{"source":{"id":"1509.07016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-23T14:56:48Z","cross_cats_sorted":[],"title_canon_sha256":"32e61375a59f4cbc0c602a3d0769e217d5708a7d80332cd4f79413b8ad8b539a","abstract_canon_sha256":"ea5b0916aff8bba68f26d4a09edf0442308e7799c0d1729fa19ce27f80e0bea3"},"schema_version":"1.0"},"canonical_sha256":"390b8906d28e7eae7f8ffd757877aca36b905fa86b1a3a094cd4ea934df0a1e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:26.091192Z","signature_b64":"M+JEi+3cv48NInrgAT11PAmzD0gBwaq2+e6R7vfeky3NYvXF8yRqaU4snEiGLFR3Kvfn+d6xwUSAI3k17ChvBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"390b8906d28e7eae7f8ffd757877aca36b905fa86b1a3a094cd4ea934df0a1e0","last_reissued_at":"2026-05-18T01:25:26.090675Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:26.090675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.07016","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":"2026-05-18T01:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L46BngPDE0z/FYyFMjlG7Qevu+Z+N1MPSokOroAWqiS8ohOXJCOouuRZlJXKivcq3L93bhonlpRnmZUSAoj8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:40:40.297881Z"},"content_sha256":"55cb8f2008140b6268c7dc2b847afabab6e1e4df28274388566ab8691e2c0153","schema_version":"1.0","event_id":"sha256:55cb8f2008140b6268c7dc2b847afabab6e1e4df28274388566ab8691e2c0153"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HEFYSBWSRZ7K474P7V2XQ55MUN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mesh Grading in Isogeometric Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Angelos Mantzaflaris, Ioannis Toulopoulos, Stephen E. Moore, Ulrich Langer","submitted_at":"2015-09-23T14:56:48Z","abstract_excerpt":"This paper is concerned with the construction of graded meshes for approximating so-called singular solutions of elliptic boundary value problems by means of multipatch discontinuous Galerkin Isogeometric Analysis schemes. Such solutions appear, for instance, in domains with re-entrant corners on the boundary of the computational domain, in problems with changing boundary conditions, in interface problems, or in problems with singular source terms. Making use of the analytic behavior of the solution, we construct the graded meshes in the neighborhoods of such singular points following a multip"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07016","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":"2026-05-18T01:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4ReVeffvSkiil4kWEhUiBjcpddYV3L8q+mQaIZakuDSdlI02/17d9nTH/mslJlViLL2okpYiTrNyvOU1JaCiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:40:40.298542Z"},"content_sha256":"78e0c3dd83abd3ab9eb51a5a2c2d7f4c89c20eeb31460927fb5f877da673afcf","schema_version":"1.0","event_id":"sha256:78e0c3dd83abd3ab9eb51a5a2c2d7f4c89c20eeb31460927fb5f877da673afcf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HEFYSBWSRZ7K474P7V2XQ55MUN/bundle.json","state_url":"https://pith.science/pith/HEFYSBWSRZ7K474P7V2XQ55MUN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HEFYSBWSRZ7K474P7V2XQ55MUN/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":"2026-06-08T19:40:40Z","links":{"resolver":"https://pith.science/pith/HEFYSBWSRZ7K474P7V2XQ55MUN","bundle":"https://pith.science/pith/HEFYSBWSRZ7K474P7V2XQ55MUN/bundle.json","state":"https://pith.science/pith/HEFYSBWSRZ7K474P7V2XQ55MUN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HEFYSBWSRZ7K474P7V2XQ55MUN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HEFYSBWSRZ7K474P7V2XQ55MUN","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":"ea5b0916aff8bba68f26d4a09edf0442308e7799c0d1729fa19ce27f80e0bea3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-23T14:56:48Z","title_canon_sha256":"32e61375a59f4cbc0c602a3d0769e217d5708a7d80332cd4f79413b8ad8b539a"},"schema_version":"1.0","source":{"id":"1509.07016","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07016","created_at":"2026-05-18T01:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07016v1","created_at":"2026-05-18T01:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07016","created_at":"2026-05-18T01:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"HEFYSBWSRZ7K","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HEFYSBWSRZ7K474P","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HEFYSBWS","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:78e0c3dd83abd3ab9eb51a5a2c2d7f4c89c20eeb31460927fb5f877da673afcf","target":"graph","created_at":"2026-05-18T01:25:26Z","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":"This paper is concerned with the construction of graded meshes for approximating so-called singular solutions of elliptic boundary value problems by means of multipatch discontinuous Galerkin Isogeometric Analysis schemes. Such solutions appear, for instance, in domains with re-entrant corners on the boundary of the computational domain, in problems with changing boundary conditions, in interface problems, or in problems with singular source terms. Making use of the analytic behavior of the solution, we construct the graded meshes in the neighborhoods of such singular points following a multip","authors_text":"Angelos Mantzaflaris, Ioannis Toulopoulos, Stephen E. Moore, Ulrich Langer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-23T14:56:48Z","title":"Mesh Grading in Isogeometric Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07016","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":"sha256:55cb8f2008140b6268c7dc2b847afabab6e1e4df28274388566ab8691e2c0153","target":"record","created_at":"2026-05-18T01:25:26Z","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":"ea5b0916aff8bba68f26d4a09edf0442308e7799c0d1729fa19ce27f80e0bea3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-23T14:56:48Z","title_canon_sha256":"32e61375a59f4cbc0c602a3d0769e217d5708a7d80332cd4f79413b8ad8b539a"},"schema_version":"1.0","source":{"id":"1509.07016","kind":"arxiv","version":1}},"canonical_sha256":"390b8906d28e7eae7f8ffd757877aca36b905fa86b1a3a094cd4ea934df0a1e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"390b8906d28e7eae7f8ffd757877aca36b905fa86b1a3a094cd4ea934df0a1e0","first_computed_at":"2026-05-18T01:25:26.090675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:26.090675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M+JEi+3cv48NInrgAT11PAmzD0gBwaq2+e6R7vfeky3NYvXF8yRqaU4snEiGLFR3Kvfn+d6xwUSAI3k17ChvBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:26.091192Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.07016","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55cb8f2008140b6268c7dc2b847afabab6e1e4df28274388566ab8691e2c0153","sha256:78e0c3dd83abd3ab9eb51a5a2c2d7f4c89c20eeb31460927fb5f877da673afcf"],"state_sha256":"cdf41a02bf15b52cead8e47e347153ff150d90f7d3850af925add75b3ddec0f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xi0VLLd05F6cZoEqznidn3jqYtOW5949/AlGlX0iiJvEYOV6utQM+Xzue2RlAbn2xqriuCLEbg1yJb2GFAVyBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:40:40.302539Z","bundle_sha256":"34d8509922be7264d75a65eb451155fc748f34282f5985cdb4ee311018e18a3e"}}