{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:CXTW4RLVKZSIRJXH2I7NFSFBQI","short_pith_number":"pith:CXTW4RLV","canonical_record":{"source":{"id":"2507.10701","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.TR","submitted_at":"2025-07-14T18:17:50Z","cross_cats_sorted":["cs.LG","q-fin.MF","q-fin.PM"],"title_canon_sha256":"65d9cfad8c857514b528ceeee0ab0f59cfdc7c6cb4c0bb6bbcf900ca3d3a21e5","abstract_canon_sha256":"171c6adef2173f15c7e9dd8451f2be32b0cb437d8520734cfa262a168dc9ae8f"},"schema_version":"1.0"},"canonical_sha256":"15e76e4575566488a6e7d23ed2c8a1822318ce037af8f7609c2d7487718f779c","source":{"kind":"arxiv","id":"2507.10701","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.10701","created_at":"2026-07-05T11:36:58Z"},{"alias_kind":"arxiv_version","alias_value":"2507.10701v1","created_at":"2026-07-05T11:36:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.10701","created_at":"2026-07-05T11:36:58Z"},{"alias_kind":"pith_short_12","alias_value":"CXTW4RLVKZSI","created_at":"2026-07-05T11:36:58Z"},{"alias_kind":"pith_short_16","alias_value":"CXTW4RLVKZSIRJXH","created_at":"2026-07-05T11:36:58Z"},{"alias_kind":"pith_short_8","alias_value":"CXTW4RLV","created_at":"2026-07-05T11:36:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:CXTW4RLVKZSIRJXH2I7NFSFBQI","target":"record","payload":{"canonical_record":{"source":{"id":"2507.10701","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.TR","submitted_at":"2025-07-14T18:17:50Z","cross_cats_sorted":["cs.LG","q-fin.MF","q-fin.PM"],"title_canon_sha256":"65d9cfad8c857514b528ceeee0ab0f59cfdc7c6cb4c0bb6bbcf900ca3d3a21e5","abstract_canon_sha256":"171c6adef2173f15c7e9dd8451f2be32b0cb437d8520734cfa262a168dc9ae8f"},"schema_version":"1.0"},"canonical_sha256":"15e76e4575566488a6e7d23ed2c8a1822318ce037af8f7609c2d7487718f779c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:36:58.540650Z","signature_b64":"3kgDSWCt+Wk2n5jAVQSEKarvxXqJNo29FGFaSg7DBrFQ7fkpaFaUylyxo9ZmknA2JPy1/h6eFGYakvpoBNXMBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15e76e4575566488a6e7d23ed2c8a1822318ce037af8f7609c2d7487718f779c","last_reissued_at":"2026-07-05T11:36:58.540138Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:36:58.540138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.10701","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":"2026-07-05T11:36:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ttN5kx9Hcn0TvFoxNAyA8QBYpsWFvQOQpaw/yl5Pl0PwMH5nZB+RlZ3U4PS7eY5GPREPr4ujV6XPxG+dhfN1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T06:51:44.904441Z"},"content_sha256":"8b245480f907e3263f62241e16611f41d1daae8cc7291343dbcfcddb65a51877","schema_version":"1.0","event_id":"sha256:8b245480f907e3263f62241e16611f41d1daae8cc7291343dbcfcddb65a51877"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:CXTW4RLVKZSIRJXH2I7NFSFBQI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kernel Learning for Mean-Variance Trading Strategies","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","q-fin.MF","q-fin.PM"],"primary_cat":"q-fin.TR","authors_text":"Blanka Horvath, Nicola Muca Cirone, Owen Futter","submitted_at":"2025-07-14T18:17:50Z","abstract_excerpt":"In this article, we develop a kernel-based framework for constructing dynamic, pathdependent trading strategies under a mean-variance optimisation criterion. Building on the theoretical results of (Muca Cirone and Salvi, 2025), we parameterise trading strategies as functions in a reproducing kernel Hilbert space (RKHS), enabling a flexible and non-Markovian approach to optimal portfolio problems. We compare this with the signature-based framework of (Futter, Horvath, Wiese, 2023) and demonstrate that both significantly outperform classical Markovian methods when the asset dynamics or predictiv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.10701","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/2507.10701/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":"2026-07-05T11:36:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sScDw8mDttee2+tfhEx+CUlcepGplEfHUcYUfgPvJwxFtRL44mVEX1g1Avljr39MDi6+FxP1JjcTOpg95S8xDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T06:51:44.904990Z"},"content_sha256":"d71820dec7e3ebfcc48837878e234da7a256d8707c4871b6fc4cc3e074110419","schema_version":"1.0","event_id":"sha256:d71820dec7e3ebfcc48837878e234da7a256d8707c4871b6fc4cc3e074110419"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXTW4RLVKZSIRJXH2I7NFSFBQI/bundle.json","state_url":"https://pith.science/pith/CXTW4RLVKZSIRJXH2I7NFSFBQI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXTW4RLVKZSIRJXH2I7NFSFBQI/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":"2026-08-09T06:51:44Z","links":{"resolver":"https://pith.science/pith/CXTW4RLVKZSIRJXH2I7NFSFBQI","bundle":"https://pith.science/pith/CXTW4RLVKZSIRJXH2I7NFSFBQI/bundle.json","state":"https://pith.science/pith/CXTW4RLVKZSIRJXH2I7NFSFBQI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXTW4RLVKZSIRJXH2I7NFSFBQI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:CXTW4RLVKZSIRJXH2I7NFSFBQI","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":"171c6adef2173f15c7e9dd8451f2be32b0cb437d8520734cfa262a168dc9ae8f","cross_cats_sorted":["cs.LG","q-fin.MF","q-fin.PM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.TR","submitted_at":"2025-07-14T18:17:50Z","title_canon_sha256":"65d9cfad8c857514b528ceeee0ab0f59cfdc7c6cb4c0bb6bbcf900ca3d3a21e5"},"schema_version":"1.0","source":{"id":"2507.10701","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.10701","created_at":"2026-07-05T11:36:58Z"},{"alias_kind":"arxiv_version","alias_value":"2507.10701v1","created_at":"2026-07-05T11:36:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.10701","created_at":"2026-07-05T11:36:58Z"},{"alias_kind":"pith_short_12","alias_value":"CXTW4RLVKZSI","created_at":"2026-07-05T11:36:58Z"},{"alias_kind":"pith_short_16","alias_value":"CXTW4RLVKZSIRJXH","created_at":"2026-07-05T11:36:58Z"},{"alias_kind":"pith_short_8","alias_value":"CXTW4RLV","created_at":"2026-07-05T11:36:58Z"}],"graph_snapshots":[{"event_id":"sha256:d71820dec7e3ebfcc48837878e234da7a256d8707c4871b6fc4cc3e074110419","target":"graph","created_at":"2026-07-05T11:36:58Z","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/2507.10701/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we develop a kernel-based framework for constructing dynamic, pathdependent trading strategies under a mean-variance optimisation criterion. Building on the theoretical results of (Muca Cirone and Salvi, 2025), we parameterise trading strategies as functions in a reproducing kernel Hilbert space (RKHS), enabling a flexible and non-Markovian approach to optimal portfolio problems. We compare this with the signature-based framework of (Futter, Horvath, Wiese, 2023) and demonstrate that both significantly outperform classical Markovian methods when the asset dynamics or predictiv","authors_text":"Blanka Horvath, Nicola Muca Cirone, Owen Futter","cross_cats":["cs.LG","q-fin.MF","q-fin.PM"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.TR","submitted_at":"2025-07-14T18:17:50Z","title":"Kernel Learning for Mean-Variance Trading Strategies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.10701","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":"sha256:8b245480f907e3263f62241e16611f41d1daae8cc7291343dbcfcddb65a51877","target":"record","created_at":"2026-07-05T11:36:58Z","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":"171c6adef2173f15c7e9dd8451f2be32b0cb437d8520734cfa262a168dc9ae8f","cross_cats_sorted":["cs.LG","q-fin.MF","q-fin.PM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-fin.TR","submitted_at":"2025-07-14T18:17:50Z","title_canon_sha256":"65d9cfad8c857514b528ceeee0ab0f59cfdc7c6cb4c0bb6bbcf900ca3d3a21e5"},"schema_version":"1.0","source":{"id":"2507.10701","kind":"arxiv","version":1}},"canonical_sha256":"15e76e4575566488a6e7d23ed2c8a1822318ce037af8f7609c2d7487718f779c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15e76e4575566488a6e7d23ed2c8a1822318ce037af8f7609c2d7487718f779c","first_computed_at":"2026-07-05T11:36:58.540138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:36:58.540138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3kgDSWCt+Wk2n5jAVQSEKarvxXqJNo29FGFaSg7DBrFQ7fkpaFaUylyxo9ZmknA2JPy1/h6eFGYakvpoBNXMBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:36:58.540650Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.10701","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b245480f907e3263f62241e16611f41d1daae8cc7291343dbcfcddb65a51877","sha256:d71820dec7e3ebfcc48837878e234da7a256d8707c4871b6fc4cc3e074110419"],"state_sha256":"5925505b043d1bddc78e0eac21b9c896b48c662120ff4317fa04f2708fa8b0d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9q5OWCw3kad6e9gxPYwYGKPkdHcIWrg6+WqNVeXh1CZTXhg1ru00uxEayjsa7t6Gs1vDOkW0TOv67Hajj44oCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T06:51:44.909112Z","bundle_sha256":"0e4b2025d581c076a9ddf90f6e15e7cd41a19a9924ac7a268db22f9b55c76a76"}}