{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JLI7WSRZNY3MRUKW5JVMTTAZ2V","short_pith_number":"pith:JLI7WSRZ","canonical_record":{"source":{"id":"1310.2913","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-10T18:42:37Z","cross_cats_sorted":[],"title_canon_sha256":"229afcae75221ab27bc9af9e2c01994a44a8866ac6ee306530e8ffb12236adfd","abstract_canon_sha256":"17051cb45176a0df6d717198cab93cd17a40aba9d058c9454a01ad72f186d5ba"},"schema_version":"1.0"},"canonical_sha256":"4ad1fb4a396e36c8d156ea6ac9cc19d541640d119b55a710d73681b42df1c859","source":{"kind":"arxiv","id":"1310.2913","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2913","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2913v2","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2913","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"JLI7WSRZNY3M","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JLI7WSRZNY3MRUKW","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JLI7WSRZ","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JLI7WSRZNY3MRUKW5JVMTTAZ2V","target":"record","payload":{"canonical_record":{"source":{"id":"1310.2913","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-10T18:42:37Z","cross_cats_sorted":[],"title_canon_sha256":"229afcae75221ab27bc9af9e2c01994a44a8866ac6ee306530e8ffb12236adfd","abstract_canon_sha256":"17051cb45176a0df6d717198cab93cd17a40aba9d058c9454a01ad72f186d5ba"},"schema_version":"1.0"},"canonical_sha256":"4ad1fb4a396e36c8d156ea6ac9cc19d541640d119b55a710d73681b42df1c859","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:23.745246Z","signature_b64":"FoEXn87ThZsALEo6XXc4RNFzwxfS18YiCCKgjJPzwEEwgALSJOTwcHGtXWNB4HpnXMv7VhOw2iOygcWBMaaOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ad1fb4a396e36c8d156ea6ac9cc19d541640d119b55a710d73681b42df1c859","last_reissued_at":"2026-05-18T03:10:23.744488Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:23.744488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.2913","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wgLLJM+ZQe8uReOm3VTBhLwv0A7q8VdRQgSvAN1d7meBieDYiZq2h6ZpbCntJNTpWFC4I5KMqxyv92XD+3w7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:08:48.744985Z"},"content_sha256":"245f0c7bf52f7763da76ba34934b487599c43bedc5c7b4b85b6f92ab2bc559c7","schema_version":"1.0","event_id":"sha256:245f0c7bf52f7763da76ba34934b487599c43bedc5c7b4b85b6f92ab2bc559c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JLI7WSRZNY3MRUKW5JVMTTAZ2V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite element computations on quadtree meshes: strain smoothing and semi-analytical formulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Chongmin Song, Ean Tat Ooi, Hou Man, Sundararajan Natarajan","submitted_at":"2013-10-10T18:42:37Z","abstract_excerpt":"This short communication discusses two alternate techniques to treat hanging nodes in a quadtree mesh. Both the techniques share similarities, in that, they require only boundary information. Moreover, they do not require an explicit form of the shape functions, unlike the conventional approaches, for example, as in the work of Gupta \\cite{gupta1978} or Tabarraei and Sukumar \\cite{tabarraeisukumar2005}. Hence, no special numerical integration technique is required. One of the techniques relies on the strain projection procedure, whilst the other is based on the scaled boundary finite element m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2913","kind":"arxiv","version":2},"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":"2026-05-18T03:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DAaq6sdm3/Iz0kKOkfYnpQVKWX1ApybFXqxJjFK90HiGzP/F+FTq0kkdWlPddh645lgfONCU1Uhw0QJ48AjyBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:08:48.745719Z"},"content_sha256":"9cb6f5464e139a29a82b48d56bdf788d0372c8633edf5fd4d663a4fb01a68aaa","schema_version":"1.0","event_id":"sha256:9cb6f5464e139a29a82b48d56bdf788d0372c8633edf5fd4d663a4fb01a68aaa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JLI7WSRZNY3MRUKW5JVMTTAZ2V/bundle.json","state_url":"https://pith.science/pith/JLI7WSRZNY3MRUKW5JVMTTAZ2V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JLI7WSRZNY3MRUKW5JVMTTAZ2V/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":"2026-06-04T23:08:48Z","links":{"resolver":"https://pith.science/pith/JLI7WSRZNY3MRUKW5JVMTTAZ2V","bundle":"https://pith.science/pith/JLI7WSRZNY3MRUKW5JVMTTAZ2V/bundle.json","state":"https://pith.science/pith/JLI7WSRZNY3MRUKW5JVMTTAZ2V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JLI7WSRZNY3MRUKW5JVMTTAZ2V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JLI7WSRZNY3MRUKW5JVMTTAZ2V","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":"17051cb45176a0df6d717198cab93cd17a40aba9d058c9454a01ad72f186d5ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-10T18:42:37Z","title_canon_sha256":"229afcae75221ab27bc9af9e2c01994a44a8866ac6ee306530e8ffb12236adfd"},"schema_version":"1.0","source":{"id":"1310.2913","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.2913","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"1310.2913v2","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.2913","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"JLI7WSRZNY3M","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JLI7WSRZNY3MRUKW","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JLI7WSRZ","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:9cb6f5464e139a29a82b48d56bdf788d0372c8633edf5fd4d663a4fb01a68aaa","target":"graph","created_at":"2026-05-18T03:10:23Z","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 short communication discusses two alternate techniques to treat hanging nodes in a quadtree mesh. Both the techniques share similarities, in that, they require only boundary information. Moreover, they do not require an explicit form of the shape functions, unlike the conventional approaches, for example, as in the work of Gupta \\cite{gupta1978} or Tabarraei and Sukumar \\cite{tabarraeisukumar2005}. Hence, no special numerical integration technique is required. One of the techniques relies on the strain projection procedure, whilst the other is based on the scaled boundary finite element m","authors_text":"Chongmin Song, Ean Tat Ooi, Hou Man, Sundararajan Natarajan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-10T18:42:37Z","title":"Finite element computations on quadtree meshes: strain smoothing and semi-analytical formulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.2913","kind":"arxiv","version":2},"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":"sha256:245f0c7bf52f7763da76ba34934b487599c43bedc5c7b4b85b6f92ab2bc559c7","target":"record","created_at":"2026-05-18T03:10:23Z","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":"17051cb45176a0df6d717198cab93cd17a40aba9d058c9454a01ad72f186d5ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-10T18:42:37Z","title_canon_sha256":"229afcae75221ab27bc9af9e2c01994a44a8866ac6ee306530e8ffb12236adfd"},"schema_version":"1.0","source":{"id":"1310.2913","kind":"arxiv","version":2}},"canonical_sha256":"4ad1fb4a396e36c8d156ea6ac9cc19d541640d119b55a710d73681b42df1c859","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ad1fb4a396e36c8d156ea6ac9cc19d541640d119b55a710d73681b42df1c859","first_computed_at":"2026-05-18T03:10:23.744488Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:23.744488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FoEXn87ThZsALEo6XXc4RNFzwxfS18YiCCKgjJPzwEEwgALSJOTwcHGtXWNB4HpnXMv7VhOw2iOygcWBMaaOCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:23.745246Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.2913","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:245f0c7bf52f7763da76ba34934b487599c43bedc5c7b4b85b6f92ab2bc559c7","sha256:9cb6f5464e139a29a82b48d56bdf788d0372c8633edf5fd4d663a4fb01a68aaa"],"state_sha256":"9dfd060ab3a0a2084c9f02ea9c147e5a2bec2a2821b9ff0182f8bcd045a6d748"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"akUhFXsJ2skwaIcuxrnk/+paBg/B1wBxyfKVOVpaYxV8lg+LWuJFgcMURJsYuhv7clacT1N0as5+rKJxskhBBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T23:08:48.749552Z","bundle_sha256":"3bb95c47e2bb9160f981fddaf896e43952c5bceac7607f894b334def45b74aaa"}}