{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RALCF7UNF7RHZZWM46JILHCEAC","short_pith_number":"pith:RALCF7UN","canonical_record":{"source":{"id":"1710.02396","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-10-06T13:22:59Z","cross_cats_sorted":[],"title_canon_sha256":"8baab3bf89f59e05ad8f9d82be08ecc93edec638583114073ecf982988374d60","abstract_canon_sha256":"4f6515a6708d9c90c59ba277ad51be36f2705db5ab1467b921daa81957bbc07a"},"schema_version":"1.0"},"canonical_sha256":"881622fe8d2fe27ce6cce792859c4400bc10deecf71afe1d414d5e82988b7629","source":{"kind":"arxiv","id":"1710.02396","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02396","created_at":"2026-05-17T23:45:24Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02396v5","created_at":"2026-05-17T23:45:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02396","created_at":"2026-05-17T23:45:24Z"},{"alias_kind":"pith_short_12","alias_value":"RALCF7UNF7RH","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RALCF7UNF7RHZZWM","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RALCF7UN","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RALCF7UNF7RHZZWM46JILHCEAC","target":"record","payload":{"canonical_record":{"source":{"id":"1710.02396","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-10-06T13:22:59Z","cross_cats_sorted":[],"title_canon_sha256":"8baab3bf89f59e05ad8f9d82be08ecc93edec638583114073ecf982988374d60","abstract_canon_sha256":"4f6515a6708d9c90c59ba277ad51be36f2705db5ab1467b921daa81957bbc07a"},"schema_version":"1.0"},"canonical_sha256":"881622fe8d2fe27ce6cce792859c4400bc10deecf71afe1d414d5e82988b7629","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:24.431902Z","signature_b64":"U0nuXxVFOetSPuxFB11Jg8It1/T1ChTbXHZc7jtCvKRah6emURi1qSvBznt0923X5vyF+I7Ck4BDST+7CMu/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"881622fe8d2fe27ce6cce792859c4400bc10deecf71afe1d414d5e82988b7629","last_reissued_at":"2026-05-17T23:45:24.431441Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:24.431441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.02396","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:45:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gdgUV35AZX+Cq5LqhXwngLlNJnyaK6s7jETXXqK4uB3b2Y+gFo8RPhnia/h6VBcNvdl8bSV2FgnkjUi+4qDFCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:20:09.517504Z"},"content_sha256":"6d83ee7910cd94b65ccee008e2654dd30f5fd99d75d8f58e2ff4a746cb77605a","schema_version":"1.0","event_id":"sha256:6d83ee7910cd94b65ccee008e2654dd30f5fd99d75d8f58e2ff4a746cb77605a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RALCF7UNF7RHZZWM46JILHCEAC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Dense Initialization for Limited-Memory Quasi-Newton Methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Jennifer B. Erway, Johannes Brust, Oleg Burdakov, Roummel F. Marcia","submitted_at":"2017-10-06T13:22:59Z","abstract_excerpt":"We consider a family of dense initializations for limited-memory quasi-Newton methods. The proposed initialization exploits an eigendecomposition-based separation of the full space into two complementary subspaces, assigning a different initialization parameter to each subspace. This family of dense initializations is proposed in the context of a limited-memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) trust-region method that makes use of a shape-changing norm to define each subproblem. As with L-BFGS methods that traditionally use diagonal initialization, the dense initialization and the seq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02396","kind":"arxiv","version":5},"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":"2026-05-17T23:45:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sk/L4FcZRVi+tj2jqEAhGiCo8tICarntxnm8Lw99b+Veir4j+e2X0qiE76BO61VUkoYFvelkULo83a2FmLpoAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:20:09.517886Z"},"content_sha256":"a2369d132511aa7479456e4d608482be115eb319cfbbdc4802c2d7e4223f958b","schema_version":"1.0","event_id":"sha256:a2369d132511aa7479456e4d608482be115eb319cfbbdc4802c2d7e4223f958b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RALCF7UNF7RHZZWM46JILHCEAC/bundle.json","state_url":"https://pith.science/pith/RALCF7UNF7RHZZWM46JILHCEAC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RALCF7UNF7RHZZWM46JILHCEAC/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":"2026-06-12T01:20:09Z","links":{"resolver":"https://pith.science/pith/RALCF7UNF7RHZZWM46JILHCEAC","bundle":"https://pith.science/pith/RALCF7UNF7RHZZWM46JILHCEAC/bundle.json","state":"https://pith.science/pith/RALCF7UNF7RHZZWM46JILHCEAC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RALCF7UNF7RHZZWM46JILHCEAC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RALCF7UNF7RHZZWM46JILHCEAC","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":"4f6515a6708d9c90c59ba277ad51be36f2705db5ab1467b921daa81957bbc07a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-10-06T13:22:59Z","title_canon_sha256":"8baab3bf89f59e05ad8f9d82be08ecc93edec638583114073ecf982988374d60"},"schema_version":"1.0","source":{"id":"1710.02396","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02396","created_at":"2026-05-17T23:45:24Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02396v5","created_at":"2026-05-17T23:45:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02396","created_at":"2026-05-17T23:45:24Z"},{"alias_kind":"pith_short_12","alias_value":"RALCF7UNF7RH","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RALCF7UNF7RHZZWM","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RALCF7UN","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:a2369d132511aa7479456e4d608482be115eb319cfbbdc4802c2d7e4223f958b","target":"graph","created_at":"2026-05-17T23:45:24Z","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 consider a family of dense initializations for limited-memory quasi-Newton methods. The proposed initialization exploits an eigendecomposition-based separation of the full space into two complementary subspaces, assigning a different initialization parameter to each subspace. This family of dense initializations is proposed in the context of a limited-memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) trust-region method that makes use of a shape-changing norm to define each subproblem. As with L-BFGS methods that traditionally use diagonal initialization, the dense initialization and the seq","authors_text":"Jennifer B. Erway, Johannes Brust, Oleg Burdakov, Roummel F. Marcia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-10-06T13:22:59Z","title":"A Dense Initialization for Limited-Memory Quasi-Newton Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02396","kind":"arxiv","version":5},"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":"sha256:6d83ee7910cd94b65ccee008e2654dd30f5fd99d75d8f58e2ff4a746cb77605a","target":"record","created_at":"2026-05-17T23:45:24Z","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":"4f6515a6708d9c90c59ba277ad51be36f2705db5ab1467b921daa81957bbc07a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-10-06T13:22:59Z","title_canon_sha256":"8baab3bf89f59e05ad8f9d82be08ecc93edec638583114073ecf982988374d60"},"schema_version":"1.0","source":{"id":"1710.02396","kind":"arxiv","version":5}},"canonical_sha256":"881622fe8d2fe27ce6cce792859c4400bc10deecf71afe1d414d5e82988b7629","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"881622fe8d2fe27ce6cce792859c4400bc10deecf71afe1d414d5e82988b7629","first_computed_at":"2026-05-17T23:45:24.431441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:24.431441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U0nuXxVFOetSPuxFB11Jg8It1/T1ChTbXHZc7jtCvKRah6emURi1qSvBznt0923X5vyF+I7Ck4BDST+7CMu/Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:24.431902Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.02396","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d83ee7910cd94b65ccee008e2654dd30f5fd99d75d8f58e2ff4a746cb77605a","sha256:a2369d132511aa7479456e4d608482be115eb319cfbbdc4802c2d7e4223f958b"],"state_sha256":"ba95e0ff57310f1f1c151c2e41bfc9dc18e82a506c5ef36b355f0696a20d1fa5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NwnLbLJYyNwNpW9MExYapXiCFpDt7SnJ2bMAnrjgu4KvlLorrMwiYtriIAt5cpCZhE3FFHx7H0Wa0Y/nCd/wDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T01:20:09.520261Z","bundle_sha256":"b1e7403b6bec7e2f3582c4a7f6818ba55b7dc6f2783eb9af29020902c4b9c106"}}