{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DWSFXL24B4ZLEDSG5HS24PPMH4","short_pith_number":"pith:DWSFXL24","canonical_record":{"source":{"id":"1509.04322","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-28T16:21:08Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"20fc873a68b3946c52d7865ffb59a79d5c25c66def0beb257e70ec45e5487218","abstract_canon_sha256":"2157d4ced6c0e075f186720a38bcd6961196d2d54ebf408f25308ed0aa3b9361"},"schema_version":"1.0"},"canonical_sha256":"1da45baf5c0f32b20e46e9e5ae3dec3f208892a9e0d34241f4de661683afd487","source":{"kind":"arxiv","id":"1509.04322","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04322","created_at":"2026-06-04T17:09:36Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04322v2","created_at":"2026-06-04T17:09:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04322","created_at":"2026-06-04T17:09:36Z"},{"alias_kind":"pith_short_12","alias_value":"DWSFXL24B4ZL","created_at":"2026-06-04T17:09:36Z"},{"alias_kind":"pith_short_16","alias_value":"DWSFXL24B4ZLEDSG","created_at":"2026-06-04T17:09:36Z"},{"alias_kind":"pith_short_8","alias_value":"DWSFXL24","created_at":"2026-06-04T17:09:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DWSFXL24B4ZLEDSG5HS24PPMH4","target":"record","payload":{"canonical_record":{"source":{"id":"1509.04322","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-28T16:21:08Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"20fc873a68b3946c52d7865ffb59a79d5c25c66def0beb257e70ec45e5487218","abstract_canon_sha256":"2157d4ced6c0e075f186720a38bcd6961196d2d54ebf408f25308ed0aa3b9361"},"schema_version":"1.0"},"canonical_sha256":"1da45baf5c0f32b20e46e9e5ae3dec3f208892a9e0d34241f4de661683afd487","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T17:09:36.639578Z","signature_b64":"03nPgNxm69OaMQIfEswO/7dbVEtmDdx+kyl4fxSXdoG/m9L0F/xcFLXYObMcHeiGfJaEG2l5mry2mTgKjckuBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1da45baf5c0f32b20e46e9e5ae3dec3f208892a9e0d34241f4de661683afd487","last_reissued_at":"2026-06-04T17:09:36.639029Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T17:09:36.639029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.04322","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":"2026-06-04T17:09:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OSWsPOxFZBdotKz6UA92EFIbTxLh1L0n9qzjzPTjNpeBPpFImzbc9EeI+hrHA6VXRWwyrpv/E+o5eU/5RIp1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T02:20:50.403200Z"},"content_sha256":"aefeb0502d85fea98842140fc27594645c47569bbdacfb1f036fe42f233479dc","schema_version":"1.0","event_id":"sha256:aefeb0502d85fea98842140fc27594645c47569bbdacfb1f036fe42f233479dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DWSFXL24B4ZLEDSG5HS24PPMH4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Kourosh Parand, Mohammad Hemami","submitted_at":"2015-08-28T16:21:08Z","abstract_excerpt":"In this paper, indirect collocation approach based on compactly supported radial basis function is applied for solving Volterras population model. The method reduces the solution of this problem to the solution of a system of algebraic equations. Volterras model is a non-linear integro-differential equation where the integral term represents the effect of toxin. To solve the problem, we use the well-known CSRBF: Wendland3,5. Numerical results and residual norm 2 show good accuracy and rate of convergence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04322","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1509.04322/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-04T17:09:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z7l6XZ4iiE0FvDfXLNmbva2Y6qio4JmsTdBAKhubs0Ja0MTzcmlSvxbe8DVk8B6QdtLTeI/5ese16fKvL9hwBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T02:20:50.403602Z"},"content_sha256":"92d8ae710e73de98df65f7b626b53b2ff2867ff5546c26d0b33b124f0875927c","schema_version":"1.0","event_id":"sha256:92d8ae710e73de98df65f7b626b53b2ff2867ff5546c26d0b33b124f0875927c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DWSFXL24B4ZLEDSG5HS24PPMH4/bundle.json","state_url":"https://pith.science/pith/DWSFXL24B4ZLEDSG5HS24PPMH4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DWSFXL24B4ZLEDSG5HS24PPMH4/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":"2026-06-24T02:20:50Z","links":{"resolver":"https://pith.science/pith/DWSFXL24B4ZLEDSG5HS24PPMH4","bundle":"https://pith.science/pith/DWSFXL24B4ZLEDSG5HS24PPMH4/bundle.json","state":"https://pith.science/pith/DWSFXL24B4ZLEDSG5HS24PPMH4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DWSFXL24B4ZLEDSG5HS24PPMH4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DWSFXL24B4ZLEDSG5HS24PPMH4","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":"2157d4ced6c0e075f186720a38bcd6961196d2d54ebf408f25308ed0aa3b9361","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-28T16:21:08Z","title_canon_sha256":"20fc873a68b3946c52d7865ffb59a79d5c25c66def0beb257e70ec45e5487218"},"schema_version":"1.0","source":{"id":"1509.04322","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04322","created_at":"2026-06-04T17:09:36Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04322v2","created_at":"2026-06-04T17:09:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04322","created_at":"2026-06-04T17:09:36Z"},{"alias_kind":"pith_short_12","alias_value":"DWSFXL24B4ZL","created_at":"2026-06-04T17:09:36Z"},{"alias_kind":"pith_short_16","alias_value":"DWSFXL24B4ZLEDSG","created_at":"2026-06-04T17:09:36Z"},{"alias_kind":"pith_short_8","alias_value":"DWSFXL24","created_at":"2026-06-04T17:09:36Z"}],"graph_snapshots":[{"event_id":"sha256:92d8ae710e73de98df65f7b626b53b2ff2867ff5546c26d0b33b124f0875927c","target":"graph","created_at":"2026-06-04T17:09:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1509.04322/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, indirect collocation approach based on compactly supported radial basis function is applied for solving Volterras population model. The method reduces the solution of this problem to the solution of a system of algebraic equations. Volterras model is a non-linear integro-differential equation where the integral term represents the effect of toxin. To solve the problem, we use the well-known CSRBF: Wendland3,5. Numerical results and residual norm 2 show good accuracy and rate of convergence.","authors_text":"Kourosh Parand, Mohammad Hemami","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-28T16:21:08Z","title":"Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04322","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:aefeb0502d85fea98842140fc27594645c47569bbdacfb1f036fe42f233479dc","target":"record","created_at":"2026-06-04T17:09:36Z","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":"2157d4ced6c0e075f186720a38bcd6961196d2d54ebf408f25308ed0aa3b9361","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-28T16:21:08Z","title_canon_sha256":"20fc873a68b3946c52d7865ffb59a79d5c25c66def0beb257e70ec45e5487218"},"schema_version":"1.0","source":{"id":"1509.04322","kind":"arxiv","version":2}},"canonical_sha256":"1da45baf5c0f32b20e46e9e5ae3dec3f208892a9e0d34241f4de661683afd487","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1da45baf5c0f32b20e46e9e5ae3dec3f208892a9e0d34241f4de661683afd487","first_computed_at":"2026-06-04T17:09:36.639029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T17:09:36.639029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"03nPgNxm69OaMQIfEswO/7dbVEtmDdx+kyl4fxSXdoG/m9L0F/xcFLXYObMcHeiGfJaEG2l5mry2mTgKjckuBA==","signature_status":"signed_v1","signed_at":"2026-06-04T17:09:36.639578Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.04322","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aefeb0502d85fea98842140fc27594645c47569bbdacfb1f036fe42f233479dc","sha256:92d8ae710e73de98df65f7b626b53b2ff2867ff5546c26d0b33b124f0875927c"],"state_sha256":"026691829393e3a5dc98f0e626799f6d6e13f81f4b4d9be8c3ae7426611c7bdf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vLnu1jZV5hnBmw9MgByBoVLzAHwxRF6fdaxar25QW/3Fhq567exONxZyPd9TbPZyaxMDv/gB4Mn4QeXXN9vPAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T02:20:50.405657Z","bundle_sha256":"819508f9005b6961b0819baa5c9f9670b9196f060532f378ccdcd6f39657082b"}}