{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Q7ZWMFU26NLHUG3JMNFGGPS5F6","short_pith_number":"pith:Q7ZWMFU2","canonical_record":{"source":{"id":"1202.6158","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2012-02-28T09:56:43Z","cross_cats_sorted":["cs.IR","math.NA"],"title_canon_sha256":"89336fcac8d21caa6d03b8c05e69a0ceb32084232090162e6c7714b58ba9e5d6","abstract_canon_sha256":"85ae7c9ed39f8c7f17438b8e01cf502335e11e466b1718f9c3e939da8dd83875"},"schema_version":"1.0"},"canonical_sha256":"87f366169af3567a1b69634a633e5d2fbac367023aa2e4595db54c052fabc7c0","source":{"kind":"arxiv","id":"1202.6158","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.6158","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"arxiv_version","alias_value":"1202.6158v1","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6158","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"pith_short_12","alias_value":"Q7ZWMFU26NLH","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q7ZWMFU26NLHUG3J","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q7ZWMFU2","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Q7ZWMFU26NLHUG3JMNFGGPS5F6","target":"record","payload":{"canonical_record":{"source":{"id":"1202.6158","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2012-02-28T09:56:43Z","cross_cats_sorted":["cs.IR","math.NA"],"title_canon_sha256":"89336fcac8d21caa6d03b8c05e69a0ceb32084232090162e6c7714b58ba9e5d6","abstract_canon_sha256":"85ae7c9ed39f8c7f17438b8e01cf502335e11e466b1718f9c3e939da8dd83875"},"schema_version":"1.0"},"canonical_sha256":"87f366169af3567a1b69634a633e5d2fbac367023aa2e4595db54c052fabc7c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:14.070243Z","signature_b64":"FliW9JdiRbaezixwEKo90aU0wIrHLViWknsKV8K4ajpKM9fIUK2xOu9mRQsrBBCb3v1W8UdHnMcZF/CA+KFkBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87f366169af3567a1b69634a633e5d2fbac367023aa2e4595db54c052fabc7c0","last_reissued_at":"2026-05-18T04:01:14.069442Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:14.069442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.6158","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":"2026-05-18T04:01:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tvgCoBcG2Z4YqDKCixvo8aalN4rTke/TyB4VFMYb3DwYo1zSv6y4kBZCh3NQTuftagWcPCzKgFMfflFhRekEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T02:45:54.125638Z"},"content_sha256":"0243dc42f3fc5f6fae446f0980137364d6b05d827c7285fcc3f01bc3baef14cf","schema_version":"1.0","event_id":"sha256:0243dc42f3fc5f6fae446f0980137364d6b05d827c7285fcc3f01bc3baef14cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Q7ZWMFU26NLHUG3JMNFGGPS5F6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimized on-line computation of PageRank algorithm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IR","math.NA"],"primary_cat":"cs.DM","authors_text":"Dohy Hong","submitted_at":"2012-02-28T09:56:43Z","abstract_excerpt":"In this paper we present new ideas to accelerate the computation of the eigenvector of the transition matrix associated to the PageRank algorithm. New ideas are based on the decomposition of the matrix-vector product that can be seen as a fluid diffusion model, associated to new algebraic equations. We show through experiments on synthetic data and on real data-sets how much this approach can improve the computation efficiency."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6158","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":"2026-05-18T04:01:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RslR0SDVpf/Q3ebngjAkLV/iGfiG2+z+EAvzHFahDFMHVjjfjbT65zjscvz9F5TYkVH1sZmXQ11kuIwgfDMHAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T02:45:54.126049Z"},"content_sha256":"7c1ea5fb35a4a1274b0eb74847ce17bcb28ef9cc289faf97ebf7415bcf90e534","schema_version":"1.0","event_id":"sha256:7c1ea5fb35a4a1274b0eb74847ce17bcb28ef9cc289faf97ebf7415bcf90e534"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q7ZWMFU26NLHUG3JMNFGGPS5F6/bundle.json","state_url":"https://pith.science/pith/Q7ZWMFU26NLHUG3JMNFGGPS5F6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q7ZWMFU26NLHUG3JMNFGGPS5F6/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":"2026-06-30T02:45:54Z","links":{"resolver":"https://pith.science/pith/Q7ZWMFU26NLHUG3JMNFGGPS5F6","bundle":"https://pith.science/pith/Q7ZWMFU26NLHUG3JMNFGGPS5F6/bundle.json","state":"https://pith.science/pith/Q7ZWMFU26NLHUG3JMNFGGPS5F6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q7ZWMFU26NLHUG3JMNFGGPS5F6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Q7ZWMFU26NLHUG3JMNFGGPS5F6","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":"85ae7c9ed39f8c7f17438b8e01cf502335e11e466b1718f9c3e939da8dd83875","cross_cats_sorted":["cs.IR","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2012-02-28T09:56:43Z","title_canon_sha256":"89336fcac8d21caa6d03b8c05e69a0ceb32084232090162e6c7714b58ba9e5d6"},"schema_version":"1.0","source":{"id":"1202.6158","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.6158","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"arxiv_version","alias_value":"1202.6158v1","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6158","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"pith_short_12","alias_value":"Q7ZWMFU26NLH","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q7ZWMFU26NLHUG3J","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q7ZWMFU2","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:7c1ea5fb35a4a1274b0eb74847ce17bcb28ef9cc289faf97ebf7415bcf90e534","target":"graph","created_at":"2026-05-18T04:01:14Z","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 present new ideas to accelerate the computation of the eigenvector of the transition matrix associated to the PageRank algorithm. New ideas are based on the decomposition of the matrix-vector product that can be seen as a fluid diffusion model, associated to new algebraic equations. We show through experiments on synthetic data and on real data-sets how much this approach can improve the computation efficiency.","authors_text":"Dohy Hong","cross_cats":["cs.IR","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2012-02-28T09:56:43Z","title":"Optimized on-line computation of PageRank algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6158","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":"sha256:0243dc42f3fc5f6fae446f0980137364d6b05d827c7285fcc3f01bc3baef14cf","target":"record","created_at":"2026-05-18T04:01:14Z","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":"85ae7c9ed39f8c7f17438b8e01cf502335e11e466b1718f9c3e939da8dd83875","cross_cats_sorted":["cs.IR","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2012-02-28T09:56:43Z","title_canon_sha256":"89336fcac8d21caa6d03b8c05e69a0ceb32084232090162e6c7714b58ba9e5d6"},"schema_version":"1.0","source":{"id":"1202.6158","kind":"arxiv","version":1}},"canonical_sha256":"87f366169af3567a1b69634a633e5d2fbac367023aa2e4595db54c052fabc7c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87f366169af3567a1b69634a633e5d2fbac367023aa2e4595db54c052fabc7c0","first_computed_at":"2026-05-18T04:01:14.069442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:14.069442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FliW9JdiRbaezixwEKo90aU0wIrHLViWknsKV8K4ajpKM9fIUK2xOu9mRQsrBBCb3v1W8UdHnMcZF/CA+KFkBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:14.070243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.6158","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0243dc42f3fc5f6fae446f0980137364d6b05d827c7285fcc3f01bc3baef14cf","sha256:7c1ea5fb35a4a1274b0eb74847ce17bcb28ef9cc289faf97ebf7415bcf90e534"],"state_sha256":"338cfc0bc5510092804dd5c2b8d1fb60d71ccedd8828b3ba37e7d4d1984def5f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"osHO89nAHzs9tuuzubg10Q17PwXm4AEQcWnqGY51hgD6ILvX/VKw/mNxCvj6+CoEIZEZB16rzAZ0sZN00AU7AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T02:45:54.128598Z","bundle_sha256":"ae376bfb327cceb8d647ff3f134825bed80f19e3ec10d81ee7133e16ee06762e"}}