{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:FJAWIALDNRZ26B7L3OOIEFGW3R","short_pith_number":"pith:FJAWIALD","canonical_record":{"source":{"id":"2006.08814","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-06-15T23:10:03Z","cross_cats_sorted":[],"title_canon_sha256":"3433236ebf659ed48fd3407e5b6005f4f1cad29ac803414834223edfd56a2382","abstract_canon_sha256":"c0895e28f2823b11e32714c43c24e9614a3e927ecc95a655a246bdf71a588f42"},"schema_version":"1.0"},"canonical_sha256":"2a416401636c73af07ebdb9c8214d6dc635583efea507198e4c21213b8026236","source":{"kind":"arxiv","id":"2006.08814","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.08814","created_at":"2026-07-05T04:10:33Z"},{"alias_kind":"arxiv_version","alias_value":"2006.08814v2","created_at":"2026-07-05T04:10:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.08814","created_at":"2026-07-05T04:10:33Z"},{"alias_kind":"pith_short_12","alias_value":"FJAWIALDNRZ2","created_at":"2026-07-05T04:10:33Z"},{"alias_kind":"pith_short_16","alias_value":"FJAWIALDNRZ26B7L","created_at":"2026-07-05T04:10:33Z"},{"alias_kind":"pith_short_8","alias_value":"FJAWIALD","created_at":"2026-07-05T04:10:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:FJAWIALDNRZ26B7L3OOIEFGW3R","target":"record","payload":{"canonical_record":{"source":{"id":"2006.08814","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-06-15T23:10:03Z","cross_cats_sorted":[],"title_canon_sha256":"3433236ebf659ed48fd3407e5b6005f4f1cad29ac803414834223edfd56a2382","abstract_canon_sha256":"c0895e28f2823b11e32714c43c24e9614a3e927ecc95a655a246bdf71a588f42"},"schema_version":"1.0"},"canonical_sha256":"2a416401636c73af07ebdb9c8214d6dc635583efea507198e4c21213b8026236","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:10:33.913581Z","signature_b64":"vU8sKl3aVZesl4uikGUC2eNH4U9uwzM+YkmbhEarChPYcxDxWFc3xikTV2uXdUFpWxEXoorFgf2qRlTz8jD0DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a416401636c73af07ebdb9c8214d6dc635583efea507198e4c21213b8026236","last_reissued_at":"2026-07-05T04:10:33.913231Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:10:33.913231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.08814","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:10:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y1Daliy2rt45lsGdjTCz9ipAKyOEhQELvUvnmv7gx3L3yzN8i4dm/1ctEnDVBUE/Tj7WsAkLFpljAru83NUQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:32:21.623737Z"},"content_sha256":"1df956116669dac761145c78b91416f5649129c9a8d3556cbe3bc881e0498101","schema_version":"1.0","event_id":"sha256:1df956116669dac761145c78b91416f5649129c9a8d3556cbe3bc881e0498101"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:FJAWIALDNRZ26B7L3OOIEFGW3R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Design and implementation of a modular interior-point solver for linear optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Andrea Lodi, Mathieu Tanneau, Miguel F. Anjos","submitted_at":"2020-06-15T23:10:03Z","abstract_excerpt":"This paper introduces the algorithmic design and implementation of Tulip, an open-source interior-point solver for linear optimization. It implements a regularized homogeneous interior-point algorithm with multiple centrality corrections, and therefore handles unbounded and infeasible problems. The solver is written in Julia, thus allowing for a flexible and efficient implementation: Tulip's algorithmic framework is fully disentangled from linear algebra implementations and from a model's arithmetic. In particular, this allows to seamlessly integrate specialized routines for structured problem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.08814","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2006.08814/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:10:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T5HJNo163gAbzWGcM25TAlRUX19lgQpe47N/3pLywg3oT+49emsCcj2JRu1Ib/DxYfs0cliAjd9o4OqbPOZ2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:32:21.625616Z"},"content_sha256":"488b516686b774769e1fc16cc97f8675676e53774ec717d867e5f446b2dede94","schema_version":"1.0","event_id":"sha256:488b516686b774769e1fc16cc97f8675676e53774ec717d867e5f446b2dede94"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FJAWIALDNRZ26B7L3OOIEFGW3R/bundle.json","state_url":"https://pith.science/pith/FJAWIALDNRZ26B7L3OOIEFGW3R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FJAWIALDNRZ26B7L3OOIEFGW3R/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":"2026-08-04T21:32:21Z","links":{"resolver":"https://pith.science/pith/FJAWIALDNRZ26B7L3OOIEFGW3R","bundle":"https://pith.science/pith/FJAWIALDNRZ26B7L3OOIEFGW3R/bundle.json","state":"https://pith.science/pith/FJAWIALDNRZ26B7L3OOIEFGW3R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FJAWIALDNRZ26B7L3OOIEFGW3R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FJAWIALDNRZ26B7L3OOIEFGW3R","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":"c0895e28f2823b11e32714c43c24e9614a3e927ecc95a655a246bdf71a588f42","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-06-15T23:10:03Z","title_canon_sha256":"3433236ebf659ed48fd3407e5b6005f4f1cad29ac803414834223edfd56a2382"},"schema_version":"1.0","source":{"id":"2006.08814","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.08814","created_at":"2026-07-05T04:10:33Z"},{"alias_kind":"arxiv_version","alias_value":"2006.08814v2","created_at":"2026-07-05T04:10:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.08814","created_at":"2026-07-05T04:10:33Z"},{"alias_kind":"pith_short_12","alias_value":"FJAWIALDNRZ2","created_at":"2026-07-05T04:10:33Z"},{"alias_kind":"pith_short_16","alias_value":"FJAWIALDNRZ26B7L","created_at":"2026-07-05T04:10:33Z"},{"alias_kind":"pith_short_8","alias_value":"FJAWIALD","created_at":"2026-07-05T04:10:33Z"}],"graph_snapshots":[{"event_id":"sha256:488b516686b774769e1fc16cc97f8675676e53774ec717d867e5f446b2dede94","target":"graph","created_at":"2026-07-05T04:10:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.08814/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper introduces the algorithmic design and implementation of Tulip, an open-source interior-point solver for linear optimization. It implements a regularized homogeneous interior-point algorithm with multiple centrality corrections, and therefore handles unbounded and infeasible problems. The solver is written in Julia, thus allowing for a flexible and efficient implementation: Tulip's algorithmic framework is fully disentangled from linear algebra implementations and from a model's arithmetic. In particular, this allows to seamlessly integrate specialized routines for structured problem","authors_text":"Andrea Lodi, Mathieu Tanneau, Miguel F. Anjos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-06-15T23:10:03Z","title":"Design and implementation of a modular interior-point solver for linear optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.08814","kind":"arxiv","version":2},"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":"sha256:1df956116669dac761145c78b91416f5649129c9a8d3556cbe3bc881e0498101","target":"record","created_at":"2026-07-05T04:10:33Z","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":"c0895e28f2823b11e32714c43c24e9614a3e927ecc95a655a246bdf71a588f42","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-06-15T23:10:03Z","title_canon_sha256":"3433236ebf659ed48fd3407e5b6005f4f1cad29ac803414834223edfd56a2382"},"schema_version":"1.0","source":{"id":"2006.08814","kind":"arxiv","version":2}},"canonical_sha256":"2a416401636c73af07ebdb9c8214d6dc635583efea507198e4c21213b8026236","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a416401636c73af07ebdb9c8214d6dc635583efea507198e4c21213b8026236","first_computed_at":"2026-07-05T04:10:33.913231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:10:33.913231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vU8sKl3aVZesl4uikGUC2eNH4U9uwzM+YkmbhEarChPYcxDxWFc3xikTV2uXdUFpWxEXoorFgf2qRlTz8jD0DA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:10:33.913581Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.08814","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1df956116669dac761145c78b91416f5649129c9a8d3556cbe3bc881e0498101","sha256:488b516686b774769e1fc16cc97f8675676e53774ec717d867e5f446b2dede94"],"state_sha256":"86dd765168bdda05060c76f5e976ac39b36243c727001b0dabedfa9b6530d340"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3VSVQ6efneLBSrB+BM0VqYEGXZRy7I1Y11mdnysFogbcXzwtGMHlFI+RObz81GjzxMYoTJiGdieWqMXJNopLDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T21:32:21.634547Z","bundle_sha256":"ba17ddab1fec6b98df1a6843a415820f9b77ada2cb6be6507ad4bc8ef23bb695"}}