{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XOTKKNIFHAASOE5B6EZYFOII73","short_pith_number":"pith:XOTKKNIF","canonical_record":{"source":{"id":"1403.4068","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-03-17T11:20:09Z","cross_cats_sorted":["math.NA","physics.atom-ph"],"title_canon_sha256":"97f4f38197ba99d6b0681ee508c87823dad41b3d86990144be3025c8df91b800","abstract_canon_sha256":"6f23bd6c6018c6a93894072d0c9f1633366b2db07689470bdb6388970dbb21a3"},"schema_version":"1.0"},"canonical_sha256":"bba6a5350538012713a1f13382b908fee975e172efad8643d0a6c0cf602960dd","source":{"kind":"arxiv","id":"1403.4068","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4068","created_at":"2026-05-18T02:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4068v1","created_at":"2026-05-18T02:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4068","created_at":"2026-05-18T02:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"XOTKKNIFHAAS","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XOTKKNIFHAASOE5B","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XOTKKNIF","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XOTKKNIFHAASOE5B6EZYFOII73","target":"record","payload":{"canonical_record":{"source":{"id":"1403.4068","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-03-17T11:20:09Z","cross_cats_sorted":["math.NA","physics.atom-ph"],"title_canon_sha256":"97f4f38197ba99d6b0681ee508c87823dad41b3d86990144be3025c8df91b800","abstract_canon_sha256":"6f23bd6c6018c6a93894072d0c9f1633366b2db07689470bdb6388970dbb21a3"},"schema_version":"1.0"},"canonical_sha256":"bba6a5350538012713a1f13382b908fee975e172efad8643d0a6c0cf602960dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:13.709641Z","signature_b64":"us39WVCYAXtYySFWI7/z0F7YOWuyjdSJT+9RrSuznx+/2Kf6mopJAnq9ryI4TKMhpx0bB4bysZjex3dFcJGLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bba6a5350538012713a1f13382b908fee975e172efad8643d0a6c0cf602960dd","last_reissued_at":"2026-05-18T02:18:13.709239Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:13.709239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.4068","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":"2026-05-18T02:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a0lyyomx79+GVaWrVKzpVEVBOzQ/AsOIQ8AaDDWoNAw/ZxDH8jrC7OVWa1vs/0vNUgt70MYUbRdcFXQlEjPfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T07:39:33.126938Z"},"content_sha256":"2d4c5cfbc6215b2897d2df3808981f3f8d3175c66640dd2a88cb2f470a4f178b","schema_version":"1.0","event_id":"sha256:2d4c5cfbc6215b2897d2df3808981f3f8d3175c66640dd2a88cb2f470a4f178b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XOTKKNIFHAASOE5B6EZYFOII73","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Low rank approximations for the DEPOSIT computer code","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA","physics.atom-ph"],"primary_cat":"physics.comp-ph","authors_text":"Ivan Oseledets, Mikhail Litsarev","submitted_at":"2014-03-17T11:20:09Z","abstract_excerpt":"We present an efficient technique based on low-rank separated approximations for the computation of three-dimensional integrals in the computer code DEPOSIT that describes ion-atomic collision processes. Implementation of this technique decreases the total computational time by a factor of 1000. The general concept can be applied to more complicated models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4068","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":"2026-05-18T02:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PCYBr2STJVWV4SPmoE9ECkEc5WJYL6E1pnGDCpiz7205piegVqUWPqeQoD2mQSlfK/AWg82EP4+KWYHO6rwVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T07:39:33.127597Z"},"content_sha256":"d794c6002ed2a6faa105e374cb3910d7fca92aa989ceb7e77a49735127d46a59","schema_version":"1.0","event_id":"sha256:d794c6002ed2a6faa105e374cb3910d7fca92aa989ceb7e77a49735127d46a59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XOTKKNIFHAASOE5B6EZYFOII73/bundle.json","state_url":"https://pith.science/pith/XOTKKNIFHAASOE5B6EZYFOII73/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XOTKKNIFHAASOE5B6EZYFOII73/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":"2026-06-22T07:39:33Z","links":{"resolver":"https://pith.science/pith/XOTKKNIFHAASOE5B6EZYFOII73","bundle":"https://pith.science/pith/XOTKKNIFHAASOE5B6EZYFOII73/bundle.json","state":"https://pith.science/pith/XOTKKNIFHAASOE5B6EZYFOII73/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XOTKKNIFHAASOE5B6EZYFOII73/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XOTKKNIFHAASOE5B6EZYFOII73","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":"6f23bd6c6018c6a93894072d0c9f1633366b2db07689470bdb6388970dbb21a3","cross_cats_sorted":["math.NA","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-03-17T11:20:09Z","title_canon_sha256":"97f4f38197ba99d6b0681ee508c87823dad41b3d86990144be3025c8df91b800"},"schema_version":"1.0","source":{"id":"1403.4068","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4068","created_at":"2026-05-18T02:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4068v1","created_at":"2026-05-18T02:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4068","created_at":"2026-05-18T02:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"XOTKKNIFHAAS","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XOTKKNIFHAASOE5B","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XOTKKNIF","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:d794c6002ed2a6faa105e374cb3910d7fca92aa989ceb7e77a49735127d46a59","target":"graph","created_at":"2026-05-18T02:18:13Z","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":"We present an efficient technique based on low-rank separated approximations for the computation of three-dimensional integrals in the computer code DEPOSIT that describes ion-atomic collision processes. Implementation of this technique decreases the total computational time by a factor of 1000. The general concept can be applied to more complicated models.","authors_text":"Ivan Oseledets, Mikhail Litsarev","cross_cats":["math.NA","physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-03-17T11:20:09Z","title":"Low rank approximations for the DEPOSIT computer code"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4068","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":"sha256:2d4c5cfbc6215b2897d2df3808981f3f8d3175c66640dd2a88cb2f470a4f178b","target":"record","created_at":"2026-05-18T02:18:13Z","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":"6f23bd6c6018c6a93894072d0c9f1633366b2db07689470bdb6388970dbb21a3","cross_cats_sorted":["math.NA","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-03-17T11:20:09Z","title_canon_sha256":"97f4f38197ba99d6b0681ee508c87823dad41b3d86990144be3025c8df91b800"},"schema_version":"1.0","source":{"id":"1403.4068","kind":"arxiv","version":1}},"canonical_sha256":"bba6a5350538012713a1f13382b908fee975e172efad8643d0a6c0cf602960dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bba6a5350538012713a1f13382b908fee975e172efad8643d0a6c0cf602960dd","first_computed_at":"2026-05-18T02:18:13.709239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:13.709239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"us39WVCYAXtYySFWI7/z0F7YOWuyjdSJT+9RrSuznx+/2Kf6mopJAnq9ryI4TKMhpx0bB4bysZjex3dFcJGLBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:13.709641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.4068","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d4c5cfbc6215b2897d2df3808981f3f8d3175c66640dd2a88cb2f470a4f178b","sha256:d794c6002ed2a6faa105e374cb3910d7fca92aa989ceb7e77a49735127d46a59"],"state_sha256":"a9e8d20da91f1fdf85547be00cf3d1cb721e8a384c80d9beeccaa1648caae093"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jp9rZMDAozRWREYCaTaqKZpuM9mhKK5VnGF6TEs4QwMiauuUTXFEzKCMUWcgvnPLaqAlYHxQfZ+riZ4Hk9R/Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T07:39:33.131445Z","bundle_sha256":"1d451af58aec487a19405906c1392d995a34212921e183d81918f2d634fb07d2"}}