{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KNHHSSE3KFAL4ZJIS4IWAQK34V","short_pith_number":"pith:KNHHSSE3","canonical_record":{"source":{"id":"1508.02826","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2015-08-12T07:02:19Z","cross_cats_sorted":[],"title_canon_sha256":"079415d9a1dee8c59a099ef4b48a8ca81bb590a1a15792cbdc42caf5a795db4d","abstract_canon_sha256":"a55053a9a85a2a69f3f6c68ac6eec2634e639ab65a315a54ce28a48f0c0215c1"},"schema_version":"1.0"},"canonical_sha256":"534e79489b5140be6528971160415be54f485c08d74f78efc04b2ba278d1cbb4","source":{"kind":"arxiv","id":"1508.02826","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02826","created_at":"2026-05-18T01:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02826v1","created_at":"2026-05-18T01:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02826","created_at":"2026-05-18T01:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"KNHHSSE3KFAL","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KNHHSSE3KFAL4ZJI","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KNHHSSE3","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KNHHSSE3KFAL4ZJIS4IWAQK34V","target":"record","payload":{"canonical_record":{"source":{"id":"1508.02826","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2015-08-12T07:02:19Z","cross_cats_sorted":[],"title_canon_sha256":"079415d9a1dee8c59a099ef4b48a8ca81bb590a1a15792cbdc42caf5a795db4d","abstract_canon_sha256":"a55053a9a85a2a69f3f6c68ac6eec2634e639ab65a315a54ce28a48f0c0215c1"},"schema_version":"1.0"},"canonical_sha256":"534e79489b5140be6528971160415be54f485c08d74f78efc04b2ba278d1cbb4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:23.748553Z","signature_b64":"naFsJU0xalXiJyZhMo6LY0AcDyvV4Q+y7Jd4pgTJnJLz+py5xbgtJmbkn3FXDf9TxSnaCWDu0O0MllTitBRcDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"534e79489b5140be6528971160415be54f485c08d74f78efc04b2ba278d1cbb4","last_reissued_at":"2026-05-18T01:35:23.747897Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:23.747897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.02826","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":"2026-05-18T01:35:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ihZmZXbl0kSChZSxRDXKjAOYLEMrFpB3aru8DGKE4tCKOOR1380wQJNfw0LrcjsW9dpcQgPNFktMw6sQGfAhCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:16:55.898753Z"},"content_sha256":"e6d54af8046c1788a37e8d8a0db00c80389fea87101375a1d292a04a3a35a7d5","schema_version":"1.0","event_id":"sha256:e6d54af8046c1788a37e8d8a0db00c80389fea87101375a1d292a04a3a35a7d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KNHHSSE3KFAL4ZJIS4IWAQK34V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inappropriate use of L-BFGS, Illustrated on frame field design","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GR","authors_text":"Dmitry Sokolov, Nicolas Ray","submitted_at":"2015-08-12T07:02:19Z","abstract_excerpt":"L-BFGS is a hill climbing method that is guarantied to converge only for convex problems. In computer graphics, it is often used as a black box solver for a more general class of non linear problems, including problems having many local minima. Some works obtain very nice results by solving such difficult problems with L-BFGS. Surprisingly, the method is able to escape local minima: our interpretation is that the approximation of the Hessian is smoother than the real Hessian, making it possible to evade the local minima. We analyse the behavior of L-BFGS on the design of 2D frame fields. It in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02826","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":"2026-05-18T01:35:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"elD5s2AtN2mwCfCNCvXnuc+Ang3aW7xx9jPeH2YAFdZMjVfDVQxY1sUU+5HC170nqH9e7dxNusiSb/a+lTOZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:16:55.899099Z"},"content_sha256":"b1584ec25ffed15bbf614f05945aeeff6a645ffe3e030385de2b370e5ba7855c","schema_version":"1.0","event_id":"sha256:b1584ec25ffed15bbf614f05945aeeff6a645ffe3e030385de2b370e5ba7855c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KNHHSSE3KFAL4ZJIS4IWAQK34V/bundle.json","state_url":"https://pith.science/pith/KNHHSSE3KFAL4ZJIS4IWAQK34V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KNHHSSE3KFAL4ZJIS4IWAQK34V/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":"2026-06-12T09:16:55Z","links":{"resolver":"https://pith.science/pith/KNHHSSE3KFAL4ZJIS4IWAQK34V","bundle":"https://pith.science/pith/KNHHSSE3KFAL4ZJIS4IWAQK34V/bundle.json","state":"https://pith.science/pith/KNHHSSE3KFAL4ZJIS4IWAQK34V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KNHHSSE3KFAL4ZJIS4IWAQK34V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KNHHSSE3KFAL4ZJIS4IWAQK34V","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":"a55053a9a85a2a69f3f6c68ac6eec2634e639ab65a315a54ce28a48f0c0215c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2015-08-12T07:02:19Z","title_canon_sha256":"079415d9a1dee8c59a099ef4b48a8ca81bb590a1a15792cbdc42caf5a795db4d"},"schema_version":"1.0","source":{"id":"1508.02826","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02826","created_at":"2026-05-18T01:35:23Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02826v1","created_at":"2026-05-18T01:35:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02826","created_at":"2026-05-18T01:35:23Z"},{"alias_kind":"pith_short_12","alias_value":"KNHHSSE3KFAL","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KNHHSSE3KFAL4ZJI","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KNHHSSE3","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:b1584ec25ffed15bbf614f05945aeeff6a645ffe3e030385de2b370e5ba7855c","target":"graph","created_at":"2026-05-18T01:35:23Z","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":"L-BFGS is a hill climbing method that is guarantied to converge only for convex problems. In computer graphics, it is often used as a black box solver for a more general class of non linear problems, including problems having many local minima. Some works obtain very nice results by solving such difficult problems with L-BFGS. Surprisingly, the method is able to escape local minima: our interpretation is that the approximation of the Hessian is smoother than the real Hessian, making it possible to evade the local minima. We analyse the behavior of L-BFGS on the design of 2D frame fields. It in","authors_text":"Dmitry Sokolov, Nicolas Ray","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2015-08-12T07:02:19Z","title":"Inappropriate use of L-BFGS, Illustrated on frame field design"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02826","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:e6d54af8046c1788a37e8d8a0db00c80389fea87101375a1d292a04a3a35a7d5","target":"record","created_at":"2026-05-18T01:35:23Z","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":"a55053a9a85a2a69f3f6c68ac6eec2634e639ab65a315a54ce28a48f0c0215c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2015-08-12T07:02:19Z","title_canon_sha256":"079415d9a1dee8c59a099ef4b48a8ca81bb590a1a15792cbdc42caf5a795db4d"},"schema_version":"1.0","source":{"id":"1508.02826","kind":"arxiv","version":1}},"canonical_sha256":"534e79489b5140be6528971160415be54f485c08d74f78efc04b2ba278d1cbb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"534e79489b5140be6528971160415be54f485c08d74f78efc04b2ba278d1cbb4","first_computed_at":"2026-05-18T01:35:23.747897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:23.747897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"naFsJU0xalXiJyZhMo6LY0AcDyvV4Q+y7Jd4pgTJnJLz+py5xbgtJmbkn3FXDf9TxSnaCWDu0O0MllTitBRcDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:23.748553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.02826","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6d54af8046c1788a37e8d8a0db00c80389fea87101375a1d292a04a3a35a7d5","sha256:b1584ec25ffed15bbf614f05945aeeff6a645ffe3e030385de2b370e5ba7855c"],"state_sha256":"4ea3ba1ead95f489cbfe1fd553675bec17c90771c987218a829f0530c0842714"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bxCokWjVc4zIjpaqVhYgNj1U3f+h7q2l/eKITK9wJqJD2MdnqQNOo9XPUjb3fBRL7wdAmEMp2M6IDG+xM85LBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T09:16:55.901016Z","bundle_sha256":"6643f1de5683db0454fad69218ab9b6a63ef746fb6c49eaaa6ddaab814bd2c38"}}