{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:NLKVJFMSOU3JKCITBD7ZESBDC7","short_pith_number":"pith:NLKVJFMS","canonical_record":{"source":{"id":"1203.6030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2012-03-27T17:20:17Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"695e20d6879d5d618135fb033225cdc87851ec8e12078cefe268d9c1a4e097fe","abstract_canon_sha256":"21a26cf2ad17f7e2c19955fc339c011a51d34b25d6b3b7815cc52c826410c801"},"schema_version":"1.0"},"canonical_sha256":"6ad5549592753695091308ff92482317cab1422c0e654165e3aabe10d5f42fa9","source":{"kind":"arxiv","id":"1203.6030","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6030","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6030v1","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6030","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"NLKVJFMSOU3J","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NLKVJFMSOU3JKCIT","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NLKVJFMS","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:NLKVJFMSOU3JKCITBD7ZESBDC7","target":"record","payload":{"canonical_record":{"source":{"id":"1203.6030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2012-03-27T17:20:17Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"695e20d6879d5d618135fb033225cdc87851ec8e12078cefe268d9c1a4e097fe","abstract_canon_sha256":"21a26cf2ad17f7e2c19955fc339c011a51d34b25d6b3b7815cc52c826410c801"},"schema_version":"1.0"},"canonical_sha256":"6ad5549592753695091308ff92482317cab1422c0e654165e3aabe10d5f42fa9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:12.674526Z","signature_b64":"YNXiVW8scIflGFAw5SjGOFceuri2Q5GmuaYx3YyOXbVgVB7ujtV7baj2VLwaPZzycEwksve5xzn15fdP1diwAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ad5549592753695091308ff92482317cab1422c0e654165e3aabe10d5f42fa9","last_reissued_at":"2026-05-18T03:59:12.673867Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:12.673867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.6030","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":"2026-05-18T03:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0toIQ7kjrJt9rNby+iA3UXQvrAHlnQrNrXm0Hueq+9LFsoIQW7NcHzbCbo5Vc43wf8iuYF66EMVNBKf44O43Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T03:03:33.124333Z"},"content_sha256":"b07b27c212d613aedc51c9ff18c59f3b94c4d3e9e735cf6073854f053af9011b","schema_version":"1.0","event_id":"sha256:b07b27c212d613aedc51c9ff18c59f3b94c4d3e9e735cf6073854f053af9011b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:NLKVJFMSOU3JKCITBD7ZESBDC7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Revisiting the D-iteration method: from theoretical to practical computation cost","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"cs.NA","authors_text":"Dohy Hong","submitted_at":"2012-03-27T17:20:17Z","abstract_excerpt":"In this paper, we revisit the D-iteration algorithm in order to better explain its connection to the Gauss-Seidel method and different performance results that were observed. In particular, we study here the practical computation cost based on the execution runtime compared to the theoretical number of iterations. We also propose an exact formula of the error for PageRank class of equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6030","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":"2026-05-18T03:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TOmfJx+HEMSinvsRxwhxQyjDsU6/r8KdYNFAkCcO9aeUlV6U/vI2AWWiIqJ8QRcXK7eoSIARnR29GxelKal1Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T03:03:33.124687Z"},"content_sha256":"969342e3f26593b5e6a15daa4bfdacf56a80eedb9a342cd34e6a16dffc15a7f9","schema_version":"1.0","event_id":"sha256:969342e3f26593b5e6a15daa4bfdacf56a80eedb9a342cd34e6a16dffc15a7f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NLKVJFMSOU3JKCITBD7ZESBDC7/bundle.json","state_url":"https://pith.science/pith/NLKVJFMSOU3JKCITBD7ZESBDC7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NLKVJFMSOU3JKCITBD7ZESBDC7/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":"2026-06-30T03:03:33Z","links":{"resolver":"https://pith.science/pith/NLKVJFMSOU3JKCITBD7ZESBDC7","bundle":"https://pith.science/pith/NLKVJFMSOU3JKCITBD7ZESBDC7/bundle.json","state":"https://pith.science/pith/NLKVJFMSOU3JKCITBD7ZESBDC7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NLKVJFMSOU3JKCITBD7ZESBDC7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NLKVJFMSOU3JKCITBD7ZESBDC7","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":"21a26cf2ad17f7e2c19955fc339c011a51d34b25d6b3b7815cc52c826410c801","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2012-03-27T17:20:17Z","title_canon_sha256":"695e20d6879d5d618135fb033225cdc87851ec8e12078cefe268d9c1a4e097fe"},"schema_version":"1.0","source":{"id":"1203.6030","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6030","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6030v1","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6030","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"NLKVJFMSOU3J","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NLKVJFMSOU3JKCIT","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NLKVJFMS","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:969342e3f26593b5e6a15daa4bfdacf56a80eedb9a342cd34e6a16dffc15a7f9","target":"graph","created_at":"2026-05-18T03:59:12Z","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":"In this paper, we revisit the D-iteration algorithm in order to better explain its connection to the Gauss-Seidel method and different performance results that were observed. In particular, we study here the practical computation cost based on the execution runtime compared to the theoretical number of iterations. We also propose an exact formula of the error for PageRank class of equations.","authors_text":"Dohy Hong","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2012-03-27T17:20:17Z","title":"Revisiting the D-iteration method: from theoretical to practical computation cost"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6030","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:b07b27c212d613aedc51c9ff18c59f3b94c4d3e9e735cf6073854f053af9011b","target":"record","created_at":"2026-05-18T03:59:12Z","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":"21a26cf2ad17f7e2c19955fc339c011a51d34b25d6b3b7815cc52c826410c801","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2012-03-27T17:20:17Z","title_canon_sha256":"695e20d6879d5d618135fb033225cdc87851ec8e12078cefe268d9c1a4e097fe"},"schema_version":"1.0","source":{"id":"1203.6030","kind":"arxiv","version":1}},"canonical_sha256":"6ad5549592753695091308ff92482317cab1422c0e654165e3aabe10d5f42fa9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ad5549592753695091308ff92482317cab1422c0e654165e3aabe10d5f42fa9","first_computed_at":"2026-05-18T03:59:12.673867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:12.673867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YNXiVW8scIflGFAw5SjGOFceuri2Q5GmuaYx3YyOXbVgVB7ujtV7baj2VLwaPZzycEwksve5xzn15fdP1diwAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:12.674526Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6030","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b07b27c212d613aedc51c9ff18c59f3b94c4d3e9e735cf6073854f053af9011b","sha256:969342e3f26593b5e6a15daa4bfdacf56a80eedb9a342cd34e6a16dffc15a7f9"],"state_sha256":"78edaf51431310ee3a352eef3b4e3d490839e0721749400f10b119967c908275"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jKeJnRnNRBnIwzy5onNMrXVpfcP8Eru+kjdXBJbe1Db7Dss2vPtFqzMk5wBQ/RXAfqHXGy2dGXpGqTfyzE7oDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T03:03:33.126753Z","bundle_sha256":"5e3b7a33e869b10a1301e5c16ab6fab4924fc0c85ee41ca0961ba8af1198a78f"}}