{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:2KX2I4V23KQILXUPLDBKMGPAYO","short_pith_number":"pith:2KX2I4V2","canonical_record":{"source":{"id":"2507.23558","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-07-31T13:46:25Z","cross_cats_sorted":[],"title_canon_sha256":"cd112117c38bc681312ec3a138f173fadf75fadbed201f9da08926dff5a8372e","abstract_canon_sha256":"bb77a2cb37f14f9ad10f4476ec4fc1bee6e1e58606fe18e511ebe4c322512c0b"},"schema_version":"1.0"},"canonical_sha256":"d2afa472badaa085de8f58c2a619e0c38f466d8d696e8485e2069a7958956deb","source":{"kind":"arxiv","id":"2507.23558","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.23558","created_at":"2026-07-05T11:46:26Z"},{"alias_kind":"arxiv_version","alias_value":"2507.23558v1","created_at":"2026-07-05T11:46:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.23558","created_at":"2026-07-05T11:46:26Z"},{"alias_kind":"pith_short_12","alias_value":"2KX2I4V23KQI","created_at":"2026-07-05T11:46:26Z"},{"alias_kind":"pith_short_16","alias_value":"2KX2I4V23KQILXUP","created_at":"2026-07-05T11:46:26Z"},{"alias_kind":"pith_short_8","alias_value":"2KX2I4V2","created_at":"2026-07-05T11:46:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:2KX2I4V23KQILXUPLDBKMGPAYO","target":"record","payload":{"canonical_record":{"source":{"id":"2507.23558","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-07-31T13:46:25Z","cross_cats_sorted":[],"title_canon_sha256":"cd112117c38bc681312ec3a138f173fadf75fadbed201f9da08926dff5a8372e","abstract_canon_sha256":"bb77a2cb37f14f9ad10f4476ec4fc1bee6e1e58606fe18e511ebe4c322512c0b"},"schema_version":"1.0"},"canonical_sha256":"d2afa472badaa085de8f58c2a619e0c38f466d8d696e8485e2069a7958956deb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:46:26.846216Z","signature_b64":"f7oP5GxLaiqdt4bj1LRojBuvJJKoK/X447IYTCjy4ajCeXOwLVYYJ4L1FzEukDwvsgkb57c95lSMj1xvoDqWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2afa472badaa085de8f58c2a619e0c38f466d8d696e8485e2069a7958956deb","last_reissued_at":"2026-07-05T11:46:26.845653Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:46:26.845653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.23558","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":"2026-07-05T11:46:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9ijZz8gMTktWjhEc8s2XKIbvcHOWSb0ChNHARE5TzHzzFle5aiaA+N62jsnfMUpDxCevUcpLYDQMCD7uF8bgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T19:33:13.951160Z"},"content_sha256":"40ab87690e4f23e0c50aa6b59febf36ce2c46ea11a6554e9286e599fd702b3df","schema_version":"1.0","event_id":"sha256:40ab87690e4f23e0c50aa6b59febf36ce2c46ea11a6554e9286e599fd702b3df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:2KX2I4V23KQILXUPLDBKMGPAYO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence rates of Newton's method for strongly self-concordant minimization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Nick Tsipinakis, Panos Parpas","submitted_at":"2025-07-31T13:46:25Z","abstract_excerpt":"Newton's method has been thoroughly studied for the class of self-concordant functions. However, a local analysis specific to strongly self-concordant functions (a subclass of the former) is missing from the literature. The local quadratic rate of strongly self-concordant functions follows, of course, from the known results for self-concordant functions. However, it is not known whether strongly self-concordant functions enjoy better theoretical properties. In this paper, we study the local convergence of Newton's method for this subclass. We show that its quadratic convergence rate differs fr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.23558","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.23558/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":"2026-07-05T11:46:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RDAbmpmW6V2UAnlyU1mt5bb5SyruqazRU2umhdy828XOmdfbEgKf/0Oyt+4rWosFmGlHHPudiLStlwUz6Fy/CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T19:33:13.951723Z"},"content_sha256":"1bfff5ff219c731c9fc7448e137d5e9485a1b50be1e239860610d5280c58d042","schema_version":"1.0","event_id":"sha256:1bfff5ff219c731c9fc7448e137d5e9485a1b50be1e239860610d5280c58d042"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2KX2I4V23KQILXUPLDBKMGPAYO/bundle.json","state_url":"https://pith.science/pith/2KX2I4V23KQILXUPLDBKMGPAYO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2KX2I4V23KQILXUPLDBKMGPAYO/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":"2026-08-10T19:33:13Z","links":{"resolver":"https://pith.science/pith/2KX2I4V23KQILXUPLDBKMGPAYO","bundle":"https://pith.science/pith/2KX2I4V23KQILXUPLDBKMGPAYO/bundle.json","state":"https://pith.science/pith/2KX2I4V23KQILXUPLDBKMGPAYO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2KX2I4V23KQILXUPLDBKMGPAYO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2KX2I4V23KQILXUPLDBKMGPAYO","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":"bb77a2cb37f14f9ad10f4476ec4fc1bee6e1e58606fe18e511ebe4c322512c0b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-07-31T13:46:25Z","title_canon_sha256":"cd112117c38bc681312ec3a138f173fadf75fadbed201f9da08926dff5a8372e"},"schema_version":"1.0","source":{"id":"2507.23558","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.23558","created_at":"2026-07-05T11:46:26Z"},{"alias_kind":"arxiv_version","alias_value":"2507.23558v1","created_at":"2026-07-05T11:46:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.23558","created_at":"2026-07-05T11:46:26Z"},{"alias_kind":"pith_short_12","alias_value":"2KX2I4V23KQI","created_at":"2026-07-05T11:46:26Z"},{"alias_kind":"pith_short_16","alias_value":"2KX2I4V23KQILXUP","created_at":"2026-07-05T11:46:26Z"},{"alias_kind":"pith_short_8","alias_value":"2KX2I4V2","created_at":"2026-07-05T11:46:26Z"}],"graph_snapshots":[{"event_id":"sha256:1bfff5ff219c731c9fc7448e137d5e9485a1b50be1e239860610d5280c58d042","target":"graph","created_at":"2026-07-05T11:46:26Z","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/2507.23558/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Newton's method has been thoroughly studied for the class of self-concordant functions. However, a local analysis specific to strongly self-concordant functions (a subclass of the former) is missing from the literature. The local quadratic rate of strongly self-concordant functions follows, of course, from the known results for self-concordant functions. However, it is not known whether strongly self-concordant functions enjoy better theoretical properties. In this paper, we study the local convergence of Newton's method for this subclass. We show that its quadratic convergence rate differs fr","authors_text":"Nick Tsipinakis, Panos Parpas","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-07-31T13:46:25Z","title":"Convergence rates of Newton's method for strongly self-concordant minimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.23558","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":"sha256:40ab87690e4f23e0c50aa6b59febf36ce2c46ea11a6554e9286e599fd702b3df","target":"record","created_at":"2026-07-05T11:46:26Z","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":"bb77a2cb37f14f9ad10f4476ec4fc1bee6e1e58606fe18e511ebe4c322512c0b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-07-31T13:46:25Z","title_canon_sha256":"cd112117c38bc681312ec3a138f173fadf75fadbed201f9da08926dff5a8372e"},"schema_version":"1.0","source":{"id":"2507.23558","kind":"arxiv","version":1}},"canonical_sha256":"d2afa472badaa085de8f58c2a619e0c38f466d8d696e8485e2069a7958956deb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2afa472badaa085de8f58c2a619e0c38f466d8d696e8485e2069a7958956deb","first_computed_at":"2026-07-05T11:46:26.845653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:46:26.845653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f7oP5GxLaiqdt4bj1LRojBuvJJKoK/X447IYTCjy4ajCeXOwLVYYJ4L1FzEukDwvsgkb57c95lSMj1xvoDqWBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:46:26.846216Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.23558","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40ab87690e4f23e0c50aa6b59febf36ce2c46ea11a6554e9286e599fd702b3df","sha256:1bfff5ff219c731c9fc7448e137d5e9485a1b50be1e239860610d5280c58d042"],"state_sha256":"96712db6e64b8b605b4ff6832aebea69d5d172502faa801546fc10e33ce8e05a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IvQDK+H4bCS88wXHgnexXD2zJefuSPiE/ObFP1kT7rAo7YHSlM9j+5IVoH8nzWRfjuYp0Zptx+0N6sL2WtvSBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T19:33:13.960546Z","bundle_sha256":"79a7cf42b2e7f66f3a519a82f924b67bde57d222af6fa19af07a02f20d4f13ca"}}