{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:H2N6C3Y4ZB7CLJKOX5DPFGF3SO","short_pith_number":"pith:H2N6C3Y4","canonical_record":{"source":{"id":"1508.07539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-30T07:24:17Z","cross_cats_sorted":[],"title_canon_sha256":"dd97bf3b15e57876ab59e8be95288bd60558883805523afd22c31361dec42a3b","abstract_canon_sha256":"46c591e31d2d1a22a745c6480ba9b895e752365bc04c355436ec83656e65c1c5"},"schema_version":"1.0"},"canonical_sha256":"3e9be16f1cc87e25a54ebf46f298bb93b6374e308525c2163465cd92c3270b2d","source":{"kind":"arxiv","id":"1508.07539","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07539","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07539v1","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07539","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"pith_short_12","alias_value":"H2N6C3Y4ZB7C","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"H2N6C3Y4ZB7CLJKO","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"H2N6C3Y4","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:H2N6C3Y4ZB7CLJKOX5DPFGF3SO","target":"record","payload":{"canonical_record":{"source":{"id":"1508.07539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-30T07:24:17Z","cross_cats_sorted":[],"title_canon_sha256":"dd97bf3b15e57876ab59e8be95288bd60558883805523afd22c31361dec42a3b","abstract_canon_sha256":"46c591e31d2d1a22a745c6480ba9b895e752365bc04c355436ec83656e65c1c5"},"schema_version":"1.0"},"canonical_sha256":"3e9be16f1cc87e25a54ebf46f298bb93b6374e308525c2163465cd92c3270b2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:32.058235Z","signature_b64":"1Hs0UORhKihNZcbnP01K8k7QOD/qtTM3oSj91a6aOK4JMwD0RWy/MBE+CIvXqQ1cIWKevnjs2vhI5lKbQSVFAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e9be16f1cc87e25a54ebf46f298bb93b6374e308525c2163465cd92c3270b2d","last_reissued_at":"2026-05-18T01:34:32.057689Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:32.057689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.07539","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":"2026-05-18T01:34:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TSCQgV4L6nsTMwJ+BNy8pWzio4IQnv+sv8xnnsabwj7PHtpXX7LnDIJZTTKjaxIZTvDnZiG8uaxj4qL3qru+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T14:33:15.997775Z"},"content_sha256":"ed9dac97dc1be04914769c627ef04d2637357322072441fc75c1c0ed4cb9a33b","schema_version":"1.0","event_id":"sha256:ed9dac97dc1be04914769c627ef04d2637357322072441fc75c1c0ed4cb9a33b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:H2N6C3Y4ZB7CLJKOX5DPFGF3SO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A meshless based method for solution of integral equations: Improving the error analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Davoud Mirzaei","submitted_at":"2015-08-30T07:24:17Z","abstract_excerpt":"This draft concerns the error analysis of a collocation method based on the moving least squares (MLS) approximation for integral equations, which improves the results of [2] in the analysis part. This is mainly a translation from Persian of some parts of Chapter 2 of the author's PhD thesis in 2011."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07539","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":"2026-05-18T01:34:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2+n9M9isViZd8Y7CJHNkOB1Gg/XI5xNzVNIVRKXweJszgKVRGNdA9KYQSbNvFyTn8qP2mJO0FAUhBOD/k6Z/AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T14:33:15.998108Z"},"content_sha256":"b6c384197223268abfedbe5c087cb801631386f8f5db0e1d7bcfce745cd114bb","schema_version":"1.0","event_id":"sha256:b6c384197223268abfedbe5c087cb801631386f8f5db0e1d7bcfce745cd114bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H2N6C3Y4ZB7CLJKOX5DPFGF3SO/bundle.json","state_url":"https://pith.science/pith/H2N6C3Y4ZB7CLJKOX5DPFGF3SO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H2N6C3Y4ZB7CLJKOX5DPFGF3SO/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":"2026-06-28T14:33:15Z","links":{"resolver":"https://pith.science/pith/H2N6C3Y4ZB7CLJKOX5DPFGF3SO","bundle":"https://pith.science/pith/H2N6C3Y4ZB7CLJKOX5DPFGF3SO/bundle.json","state":"https://pith.science/pith/H2N6C3Y4ZB7CLJKOX5DPFGF3SO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H2N6C3Y4ZB7CLJKOX5DPFGF3SO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:H2N6C3Y4ZB7CLJKOX5DPFGF3SO","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":"46c591e31d2d1a22a745c6480ba9b895e752365bc04c355436ec83656e65c1c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-30T07:24:17Z","title_canon_sha256":"dd97bf3b15e57876ab59e8be95288bd60558883805523afd22c31361dec42a3b"},"schema_version":"1.0","source":{"id":"1508.07539","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07539","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07539v1","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07539","created_at":"2026-05-18T01:34:32Z"},{"alias_kind":"pith_short_12","alias_value":"H2N6C3Y4ZB7C","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"H2N6C3Y4ZB7CLJKO","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"H2N6C3Y4","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:b6c384197223268abfedbe5c087cb801631386f8f5db0e1d7bcfce745cd114bb","target":"graph","created_at":"2026-05-18T01:34:32Z","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 draft concerns the error analysis of a collocation method based on the moving least squares (MLS) approximation for integral equations, which improves the results of [2] in the analysis part. This is mainly a translation from Persian of some parts of Chapter 2 of the author's PhD thesis in 2011.","authors_text":"Davoud Mirzaei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-30T07:24:17Z","title":"A meshless based method for solution of integral equations: Improving the error analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07539","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:ed9dac97dc1be04914769c627ef04d2637357322072441fc75c1c0ed4cb9a33b","target":"record","created_at":"2026-05-18T01:34:32Z","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":"46c591e31d2d1a22a745c6480ba9b895e752365bc04c355436ec83656e65c1c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-30T07:24:17Z","title_canon_sha256":"dd97bf3b15e57876ab59e8be95288bd60558883805523afd22c31361dec42a3b"},"schema_version":"1.0","source":{"id":"1508.07539","kind":"arxiv","version":1}},"canonical_sha256":"3e9be16f1cc87e25a54ebf46f298bb93b6374e308525c2163465cd92c3270b2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e9be16f1cc87e25a54ebf46f298bb93b6374e308525c2163465cd92c3270b2d","first_computed_at":"2026-05-18T01:34:32.057689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:32.057689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Hs0UORhKihNZcbnP01K8k7QOD/qtTM3oSj91a6aOK4JMwD0RWy/MBE+CIvXqQ1cIWKevnjs2vhI5lKbQSVFAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:32.058235Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07539","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed9dac97dc1be04914769c627ef04d2637357322072441fc75c1c0ed4cb9a33b","sha256:b6c384197223268abfedbe5c087cb801631386f8f5db0e1d7bcfce745cd114bb"],"state_sha256":"6b8235ad0ac15bbed933df47777099e9b57d0ada1f877a8924247a91dee0438a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+q2KU/bbBebfJg4CRr98ha+9x44R/c844UhU0yU5jBL+xOuVNFufvo7WwvEt/x6CG2+hA4xlyZ6X2dtVbV9GBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T14:33:15.999943Z","bundle_sha256":"be98185a5484bc3774471dd96291738ad8aa1b373048464c405bc90755a1bce9"}}