{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:L3ZZAACLMYPIBWBW5WSMXTJVSW","short_pith_number":"pith:L3ZZAACL","canonical_record":{"source":{"id":"2503.13990","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-03-18T07:51:09Z","cross_cats_sorted":[],"title_canon_sha256":"68b2d89365fd85a66a2775359c7933ba38feeb0b321f8f6db75176491bfb6e70","abstract_canon_sha256":"320d34553ec672cf9d58049cea03cb72d99addd635c71b76e56e7feff368d08b"},"schema_version":"1.0"},"canonical_sha256":"5ef390004b661e80d836eda4cbcd35958e984cc95f34b6625b9508f53d5df99b","source":{"kind":"arxiv","id":"2503.13990","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.13990","created_at":"2026-07-05T12:00:46Z"},{"alias_kind":"arxiv_version","alias_value":"2503.13990v2","created_at":"2026-07-05T12:00:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.13990","created_at":"2026-07-05T12:00:46Z"},{"alias_kind":"pith_short_12","alias_value":"L3ZZAACLMYPI","created_at":"2026-07-05T12:00:46Z"},{"alias_kind":"pith_short_16","alias_value":"L3ZZAACLMYPIBWBW","created_at":"2026-07-05T12:00:46Z"},{"alias_kind":"pith_short_8","alias_value":"L3ZZAACL","created_at":"2026-07-05T12:00:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:L3ZZAACLMYPIBWBW5WSMXTJVSW","target":"record","payload":{"canonical_record":{"source":{"id":"2503.13990","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-03-18T07:51:09Z","cross_cats_sorted":[],"title_canon_sha256":"68b2d89365fd85a66a2775359c7933ba38feeb0b321f8f6db75176491bfb6e70","abstract_canon_sha256":"320d34553ec672cf9d58049cea03cb72d99addd635c71b76e56e7feff368d08b"},"schema_version":"1.0"},"canonical_sha256":"5ef390004b661e80d836eda4cbcd35958e984cc95f34b6625b9508f53d5df99b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:00:46.867207Z","signature_b64":"VqJMQNS6lLvV4DGajFJDHhsw66nBImXfp6IcdjGVKEdtScX0YcmH253lDflk44xHzQnX1oVB4+UcGAnTzQRAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ef390004b661e80d836eda4cbcd35958e984cc95f34b6625b9508f53d5df99b","last_reissued_at":"2026-07-05T12:00:46.866507Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:00:46.866507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.13990","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":"2026-07-05T12:00:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RRxew1NVfIIKinjrSxe27YEz9NiRl9U9YZ72a2AxU/TLtHM1O+z3R0iIObDLDFhXaEAaz3AHiTo1V/Nf3ovIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:36:19.217345Z"},"content_sha256":"96e7bffa1c6f6e55468148be0022fcabbb98664b09b4c76c0ec8f5a94a3b7f78","schema_version":"1.0","event_id":"sha256:96e7bffa1c6f6e55468148be0022fcabbb98664b09b4c76c0ec8f5a94a3b7f78"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:L3ZZAACLMYPIBWBW5WSMXTJVSW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variable smoothing algorithm for inner-loop-free DC composite optimizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Isao Yamada, Keita Kume, Kumataro Yazawa","submitted_at":"2025-03-18T07:51:09Z","abstract_excerpt":"We propose a variable smoothing algorithm for minimizing a nonsmooth and nonconvex cost function. The cost function is the sum of a smooth function and a composition of a difference-of-convex (DC) function with a smooth mapping. At each step of our algorithm, we generate a smooth surrogate function by using the Moreau envelope of each weakly convex function in the DC function, and then perform the gradient descent update of the surrogate function. The proposed algorithm does not require any inner loop unlike many existing algorithms for DC problem. We also present a convergence analysis in ter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.13990","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/2503.13990/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":"2026-07-05T12:00:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pqdlaCPKBjcpgMNn0JhQnqarsDwTfEuiXdCy9+XFwP9/c11/GNT8XBr6SU5p5+xYwnUUqcsPs3tG4Gj2L6BPBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T14:36:19.218015Z"},"content_sha256":"317b13d287caaaf92bcf0890211a1cbde05fabd5e941711897ebad0804b2c397","schema_version":"1.0","event_id":"sha256:317b13d287caaaf92bcf0890211a1cbde05fabd5e941711897ebad0804b2c397"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L3ZZAACLMYPIBWBW5WSMXTJVSW/bundle.json","state_url":"https://pith.science/pith/L3ZZAACLMYPIBWBW5WSMXTJVSW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L3ZZAACLMYPIBWBW5WSMXTJVSW/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":"2026-08-08T14:36:19Z","links":{"resolver":"https://pith.science/pith/L3ZZAACLMYPIBWBW5WSMXTJVSW","bundle":"https://pith.science/pith/L3ZZAACLMYPIBWBW5WSMXTJVSW/bundle.json","state":"https://pith.science/pith/L3ZZAACLMYPIBWBW5WSMXTJVSW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L3ZZAACLMYPIBWBW5WSMXTJVSW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:L3ZZAACLMYPIBWBW5WSMXTJVSW","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":"320d34553ec672cf9d58049cea03cb72d99addd635c71b76e56e7feff368d08b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-03-18T07:51:09Z","title_canon_sha256":"68b2d89365fd85a66a2775359c7933ba38feeb0b321f8f6db75176491bfb6e70"},"schema_version":"1.0","source":{"id":"2503.13990","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.13990","created_at":"2026-07-05T12:00:46Z"},{"alias_kind":"arxiv_version","alias_value":"2503.13990v2","created_at":"2026-07-05T12:00:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.13990","created_at":"2026-07-05T12:00:46Z"},{"alias_kind":"pith_short_12","alias_value":"L3ZZAACLMYPI","created_at":"2026-07-05T12:00:46Z"},{"alias_kind":"pith_short_16","alias_value":"L3ZZAACLMYPIBWBW","created_at":"2026-07-05T12:00:46Z"},{"alias_kind":"pith_short_8","alias_value":"L3ZZAACL","created_at":"2026-07-05T12:00:46Z"}],"graph_snapshots":[{"event_id":"sha256:317b13d287caaaf92bcf0890211a1cbde05fabd5e941711897ebad0804b2c397","target":"graph","created_at":"2026-07-05T12:00:46Z","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/2503.13990/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a variable smoothing algorithm for minimizing a nonsmooth and nonconvex cost function. The cost function is the sum of a smooth function and a composition of a difference-of-convex (DC) function with a smooth mapping. At each step of our algorithm, we generate a smooth surrogate function by using the Moreau envelope of each weakly convex function in the DC function, and then perform the gradient descent update of the surrogate function. The proposed algorithm does not require any inner loop unlike many existing algorithms for DC problem. We also present a convergence analysis in ter","authors_text":"Isao Yamada, Keita Kume, Kumataro Yazawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-03-18T07:51:09Z","title":"Variable smoothing algorithm for inner-loop-free DC composite optimizations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.13990","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":"sha256:96e7bffa1c6f6e55468148be0022fcabbb98664b09b4c76c0ec8f5a94a3b7f78","target":"record","created_at":"2026-07-05T12:00:46Z","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":"320d34553ec672cf9d58049cea03cb72d99addd635c71b76e56e7feff368d08b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-03-18T07:51:09Z","title_canon_sha256":"68b2d89365fd85a66a2775359c7933ba38feeb0b321f8f6db75176491bfb6e70"},"schema_version":"1.0","source":{"id":"2503.13990","kind":"arxiv","version":2}},"canonical_sha256":"5ef390004b661e80d836eda4cbcd35958e984cc95f34b6625b9508f53d5df99b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ef390004b661e80d836eda4cbcd35958e984cc95f34b6625b9508f53d5df99b","first_computed_at":"2026-07-05T12:00:46.866507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:00:46.866507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VqJMQNS6lLvV4DGajFJDHhsw66nBImXfp6IcdjGVKEdtScX0YcmH253lDflk44xHzQnX1oVB4+UcGAnTzQRAAw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:00:46.867207Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.13990","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96e7bffa1c6f6e55468148be0022fcabbb98664b09b4c76c0ec8f5a94a3b7f78","sha256:317b13d287caaaf92bcf0890211a1cbde05fabd5e941711897ebad0804b2c397"],"state_sha256":"c9699b79118cbc11fb0598e33f8c0b5707788d60cd10605c633f7ae5b4017097"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qq+vhrAH9rGrg2rzPNYSTQt2duEKQWrR/qNeOpfiDjKhDdF9QTd0BLEFPs2yHrriBQBXyV20lf2nJgK1AP5fAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T14:36:19.221781Z","bundle_sha256":"baf142b5e3d6eec568b4891b9da96287b52708114f498187aed571d889201af1"}}