{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QXESQ77OHLBJVDVMCHDU4PP55J","short_pith_number":"pith:QXESQ77O","canonical_record":{"source":{"id":"1902.08484","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2019-02-22T13:28:35Z","cross_cats_sorted":[],"title_canon_sha256":"917737be3c2958985434660376af4551e15d1ce169c29255695a304ac7b54200","abstract_canon_sha256":"f1dd370601c12b4d942153e18f4d1a1885e6afe3ca9da084a44a921d7ed8c96c"},"schema_version":"1.0"},"canonical_sha256":"85c9287fee3ac29a8eac11c74e3dfdea6bd1e7f27feb178aca6613cb3194cb80","source":{"kind":"arxiv","id":"1902.08484","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.08484","created_at":"2026-05-17T23:52:57Z"},{"alias_kind":"arxiv_version","alias_value":"1902.08484v1","created_at":"2026-05-17T23:52:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.08484","created_at":"2026-05-17T23:52:57Z"},{"alias_kind":"pith_short_12","alias_value":"QXESQ77OHLBJ","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QXESQ77OHLBJVDVM","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QXESQ77O","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QXESQ77OHLBJVDVMCHDU4PP55J","target":"record","payload":{"canonical_record":{"source":{"id":"1902.08484","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2019-02-22T13:28:35Z","cross_cats_sorted":[],"title_canon_sha256":"917737be3c2958985434660376af4551e15d1ce169c29255695a304ac7b54200","abstract_canon_sha256":"f1dd370601c12b4d942153e18f4d1a1885e6afe3ca9da084a44a921d7ed8c96c"},"schema_version":"1.0"},"canonical_sha256":"85c9287fee3ac29a8eac11c74e3dfdea6bd1e7f27feb178aca6613cb3194cb80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:57.100269Z","signature_b64":"wiP/PkmQn8v28DjQ4lRhMyIt1ZErxL8vHgLnXTeu6xGsB47aMPt1obx37dDLFmyY62SxQnj1oG8ekCGoraoQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85c9287fee3ac29a8eac11c74e3dfdea6bd1e7f27feb178aca6613cb3194cb80","last_reissued_at":"2026-05-17T23:52:57.099726Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:57.099726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.08484","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":"2026-05-17T23:52:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zdu58xneIiE/84kUk710jVWot9n23medsPRm/agTbEJF2ayrNCV1T8C0z+4Nr2ylNISrm8Sxh0xHWzQE5qphBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T22:40:03.132243Z"},"content_sha256":"00bfaa41ec69aced8485f936d2f5bb02cddc0a6a738d2ad78ed2757562b59c58","schema_version":"1.0","event_id":"sha256:00bfaa41ec69aced8485f936d2f5bb02cddc0a6a738d2ad78ed2757562b59c58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QXESQ77OHLBJVDVMCHDU4PP55J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Refined Meshless Local Strong Form solution of Cauchy-Navier equation on an irregular domain","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Gregor Kosec, Jure Slak","submitted_at":"2019-02-22T13:28:35Z","abstract_excerpt":"This paper considers a numerical solution of a linear elasticity problem, namely the Cauchy-Navier equation, using a strong form method based on a local Weighted Least Squares (WLS) approximation. The main advantage of the employed numerical approach, also referred to as a Meshless Local Strong Form method, is its generality in terms of approximation setup and positions of computational nodes. In this paper, flexibility regarding the nodal position is demonstrated through two numerical examples, i.e. a drilled cantilever beam, where an irregular domain is treated with a relatively simple nodal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08484","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":"2026-05-17T23:52:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F/PamLmPs/x/+RKPUKS4JATcGXys3XyBtHBL33jwlaKadHH69dUNxyLjlHcZ6bJX8//8vjaYcGfKbbvLsE5+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T22:40:03.132601Z"},"content_sha256":"2d4a90f8224bad3a71d337eb2925bbc82dbcc2d6b9aa45210160d74d760397f5","schema_version":"1.0","event_id":"sha256:2d4a90f8224bad3a71d337eb2925bbc82dbcc2d6b9aa45210160d74d760397f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QXESQ77OHLBJVDVMCHDU4PP55J/bundle.json","state_url":"https://pith.science/pith/QXESQ77OHLBJVDVMCHDU4PP55J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QXESQ77OHLBJVDVMCHDU4PP55J/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":"2026-06-26T22:40:03Z","links":{"resolver":"https://pith.science/pith/QXESQ77OHLBJVDVMCHDU4PP55J","bundle":"https://pith.science/pith/QXESQ77OHLBJVDVMCHDU4PP55J/bundle.json","state":"https://pith.science/pith/QXESQ77OHLBJVDVMCHDU4PP55J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QXESQ77OHLBJVDVMCHDU4PP55J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QXESQ77OHLBJVDVMCHDU4PP55J","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":"f1dd370601c12b4d942153e18f4d1a1885e6afe3ca9da084a44a921d7ed8c96c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2019-02-22T13:28:35Z","title_canon_sha256":"917737be3c2958985434660376af4551e15d1ce169c29255695a304ac7b54200"},"schema_version":"1.0","source":{"id":"1902.08484","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.08484","created_at":"2026-05-17T23:52:57Z"},{"alias_kind":"arxiv_version","alias_value":"1902.08484v1","created_at":"2026-05-17T23:52:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.08484","created_at":"2026-05-17T23:52:57Z"},{"alias_kind":"pith_short_12","alias_value":"QXESQ77OHLBJ","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QXESQ77OHLBJVDVM","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QXESQ77O","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:2d4a90f8224bad3a71d337eb2925bbc82dbcc2d6b9aa45210160d74d760397f5","target":"graph","created_at":"2026-05-17T23:52:57Z","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 considers a numerical solution of a linear elasticity problem, namely the Cauchy-Navier equation, using a strong form method based on a local Weighted Least Squares (WLS) approximation. The main advantage of the employed numerical approach, also referred to as a Meshless Local Strong Form method, is its generality in terms of approximation setup and positions of computational nodes. In this paper, flexibility regarding the nodal position is demonstrated through two numerical examples, i.e. a drilled cantilever beam, where an irregular domain is treated with a relatively simple nodal","authors_text":"Gregor Kosec, Jure Slak","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2019-02-22T13:28:35Z","title":"Refined Meshless Local Strong Form solution of Cauchy-Navier equation on an irregular domain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08484","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":"sha256:00bfaa41ec69aced8485f936d2f5bb02cddc0a6a738d2ad78ed2757562b59c58","target":"record","created_at":"2026-05-17T23:52:57Z","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":"f1dd370601c12b4d942153e18f4d1a1885e6afe3ca9da084a44a921d7ed8c96c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2019-02-22T13:28:35Z","title_canon_sha256":"917737be3c2958985434660376af4551e15d1ce169c29255695a304ac7b54200"},"schema_version":"1.0","source":{"id":"1902.08484","kind":"arxiv","version":1}},"canonical_sha256":"85c9287fee3ac29a8eac11c74e3dfdea6bd1e7f27feb178aca6613cb3194cb80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85c9287fee3ac29a8eac11c74e3dfdea6bd1e7f27feb178aca6613cb3194cb80","first_computed_at":"2026-05-17T23:52:57.099726Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:57.099726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wiP/PkmQn8v28DjQ4lRhMyIt1ZErxL8vHgLnXTeu6xGsB47aMPt1obx37dDLFmyY62SxQnj1oG8ekCGoraoQAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:57.100269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.08484","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00bfaa41ec69aced8485f936d2f5bb02cddc0a6a738d2ad78ed2757562b59c58","sha256:2d4a90f8224bad3a71d337eb2925bbc82dbcc2d6b9aa45210160d74d760397f5"],"state_sha256":"a5766d98f487c42cbd8ba95c0bb713b292656845e9e7ad7b7ae22bce85595c1f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KqR1Por4SdgjkryyaBpx+u9KifR0o2iGg9grPpnH8yFm8NUTC+mC0O2+qHVbeYwUmBRGzJ70jw/zPTC46T/qCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T22:40:03.134556Z","bundle_sha256":"1623457b30c4121d22f10359b3f29695dd5178b5aff27d973fa2256eb3cf38ae"}}