{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:KIDEV6JLQX33L7UDYTC5PACW2W","short_pith_number":"pith:KIDEV6JL","canonical_record":{"source":{"id":"1907.04417","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-07-09T21:11:54Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"856042fd7b62e263cc4402a458431150ff5101eedc6583b5af5f0dc2785f3d33","abstract_canon_sha256":"b14f3a856e5234edc0249fd90be7ee17d603795692d2c022e029519badfdfe08"},"schema_version":"1.0"},"canonical_sha256":"52064af92b85f7b5fe83c4c5d78056d5ae1a0f8f3aed972da477b7bec37351d1","source":{"kind":"arxiv","id":"1907.04417","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.04417","created_at":"2026-05-17T23:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"1907.04417v1","created_at":"2026-05-17T23:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.04417","created_at":"2026-05-17T23:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"KIDEV6JLQX33","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KIDEV6JLQX33L7UD","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KIDEV6JL","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:KIDEV6JLQX33L7UDYTC5PACW2W","target":"record","payload":{"canonical_record":{"source":{"id":"1907.04417","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-07-09T21:11:54Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"856042fd7b62e263cc4402a458431150ff5101eedc6583b5af5f0dc2785f3d33","abstract_canon_sha256":"b14f3a856e5234edc0249fd90be7ee17d603795692d2c022e029519badfdfe08"},"schema_version":"1.0"},"canonical_sha256":"52064af92b85f7b5fe83c4c5d78056d5ae1a0f8f3aed972da477b7bec37351d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:01.794192Z","signature_b64":"TNZannZx1ES6hZAwFp1oxhoQWh+jmaW6EEF7hFAUP1m5Cq9bTmtng9tlSyV/wzDl+mWC20drEPadijhWir6yAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52064af92b85f7b5fe83c4c5d78056d5ae1a0f8f3aed972da477b7bec37351d1","last_reissued_at":"2026-05-17T23:41:01.793506Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:01.793506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.04417","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":"2026-05-17T23:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q2SSzTrjoIyVGqPQsXCkXlJJqN0B7x5OqlzH/70lXOboQwTd3dFQoXCsfprILXbp4KSfRTVgGHDTPSwvGCIqAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T11:42:15.117088Z"},"content_sha256":"3eb74fe023e7e0b5542a8bbc369facb4934c3e90847b7a7d398c063b9e29a44d","schema_version":"1.0","event_id":"sha256:3eb74fe023e7e0b5542a8bbc369facb4934c3e90847b7a7d398c063b9e29a44d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:KIDEV6JLQX33L7UDYTC5PACW2W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improving Solve Time of aggregation-based adaptive AMG","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Panayot S. Vassilevski, Pasqua D'Ambra","submitted_at":"2019-07-09T21:11:54Z","abstract_excerpt":"This paper proposes improving the solve time of a bootstrap AMG designed previously by the authors. This is achieved by incorporating the information, set of algebraically smooth vectors, generated by the bootstrap algorithm, in a single hierarchy by using sufficiently large aggregates, and these aggregates are compositions of aggregates already built throughout the bootstrap algorithm. The modified AMG method has good convergence properties and shows significant reduction in both, memory and solve time. These savings with respect to the original bootstrap AMG are illustrated on some difficult"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04417","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":"2026-05-17T23:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eSMLgmhrdLWn49+kIPFAAqIIAusRLtrmsMokceKFE36kNzrPIGuoGZcgBbK2fknUSENpGE9zYhFnrMeFdWORCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T11:42:15.117506Z"},"content_sha256":"80d5d961911ca0f9d98d7e7a97945f7b6a1e5b1e72227dc3d1293618ef997257","schema_version":"1.0","event_id":"sha256:80d5d961911ca0f9d98d7e7a97945f7b6a1e5b1e72227dc3d1293618ef997257"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KIDEV6JLQX33L7UDYTC5PACW2W/bundle.json","state_url":"https://pith.science/pith/KIDEV6JLQX33L7UDYTC5PACW2W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KIDEV6JLQX33L7UDYTC5PACW2W/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":"2026-05-25T11:42:15Z","links":{"resolver":"https://pith.science/pith/KIDEV6JLQX33L7UDYTC5PACW2W","bundle":"https://pith.science/pith/KIDEV6JLQX33L7UDYTC5PACW2W/bundle.json","state":"https://pith.science/pith/KIDEV6JLQX33L7UDYTC5PACW2W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KIDEV6JLQX33L7UDYTC5PACW2W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KIDEV6JLQX33L7UDYTC5PACW2W","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":"b14f3a856e5234edc0249fd90be7ee17d603795692d2c022e029519badfdfe08","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-07-09T21:11:54Z","title_canon_sha256":"856042fd7b62e263cc4402a458431150ff5101eedc6583b5af5f0dc2785f3d33"},"schema_version":"1.0","source":{"id":"1907.04417","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.04417","created_at":"2026-05-17T23:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"1907.04417v1","created_at":"2026-05-17T23:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.04417","created_at":"2026-05-17T23:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"KIDEV6JLQX33","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KIDEV6JLQX33L7UD","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KIDEV6JL","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:80d5d961911ca0f9d98d7e7a97945f7b6a1e5b1e72227dc3d1293618ef997257","target":"graph","created_at":"2026-05-17T23:41:01Z","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 paper proposes improving the solve time of a bootstrap AMG designed previously by the authors. This is achieved by incorporating the information, set of algebraically smooth vectors, generated by the bootstrap algorithm, in a single hierarchy by using sufficiently large aggregates, and these aggregates are compositions of aggregates already built throughout the bootstrap algorithm. The modified AMG method has good convergence properties and shows significant reduction in both, memory and solve time. These savings with respect to the original bootstrap AMG are illustrated on some difficult","authors_text":"Panayot S. Vassilevski, Pasqua D'Ambra","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-07-09T21:11:54Z","title":"Improving Solve Time of aggregation-based adaptive AMG"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04417","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":"sha256:3eb74fe023e7e0b5542a8bbc369facb4934c3e90847b7a7d398c063b9e29a44d","target":"record","created_at":"2026-05-17T23:41:01Z","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":"b14f3a856e5234edc0249fd90be7ee17d603795692d2c022e029519badfdfe08","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-07-09T21:11:54Z","title_canon_sha256":"856042fd7b62e263cc4402a458431150ff5101eedc6583b5af5f0dc2785f3d33"},"schema_version":"1.0","source":{"id":"1907.04417","kind":"arxiv","version":1}},"canonical_sha256":"52064af92b85f7b5fe83c4c5d78056d5ae1a0f8f3aed972da477b7bec37351d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52064af92b85f7b5fe83c4c5d78056d5ae1a0f8f3aed972da477b7bec37351d1","first_computed_at":"2026-05-17T23:41:01.793506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:01.793506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TNZannZx1ES6hZAwFp1oxhoQWh+jmaW6EEF7hFAUP1m5Cq9bTmtng9tlSyV/wzDl+mWC20drEPadijhWir6yAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:01.794192Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.04417","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3eb74fe023e7e0b5542a8bbc369facb4934c3e90847b7a7d398c063b9e29a44d","sha256:80d5d961911ca0f9d98d7e7a97945f7b6a1e5b1e72227dc3d1293618ef997257"],"state_sha256":"c5360327ac74cad9d348b83f21bd0bf3fe9a733f9259eadb9624037fd782e7f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oY4Oz+dSHbh+kUStk27uGJYl0eJraFml3ZzFbsD9jiofXmo2Ad6X93V0wj/B/JQpH/sBRBMJkbz4x5YgI0ZLCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T11:42:15.120230Z","bundle_sha256":"3166a79e630769f01b8428b43fa8f5e9e4926de0e62bde1541919873fe1ccde7"}}