{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:LUIQQG4XZX72QU2PNLPGN2QCDX","short_pith_number":"pith:LUIQQG4X","canonical_record":{"source":{"id":"2507.15424","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-21T09:24:49Z","cross_cats_sorted":[],"title_canon_sha256":"ac7738745b9ad056d15d582b59a2be36c0fc3f2cc7ced2cc7bacccfe722ed468","abstract_canon_sha256":"188a5a28e80f0ec0a94ef5d80e34bf9bbfc32c3c28309567200b69fbd103fdae"},"schema_version":"1.0"},"canonical_sha256":"5d11081b97cdffa8534f6ade66ea021dc0b366387eae16b3ef375b06b24b9f4d","source":{"kind":"arxiv","id":"2507.15424","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.15424","created_at":"2026-07-05T11:40:36Z"},{"alias_kind":"arxiv_version","alias_value":"2507.15424v1","created_at":"2026-07-05T11:40:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.15424","created_at":"2026-07-05T11:40:36Z"},{"alias_kind":"pith_short_12","alias_value":"LUIQQG4XZX72","created_at":"2026-07-05T11:40:36Z"},{"alias_kind":"pith_short_16","alias_value":"LUIQQG4XZX72QU2P","created_at":"2026-07-05T11:40:36Z"},{"alias_kind":"pith_short_8","alias_value":"LUIQQG4X","created_at":"2026-07-05T11:40:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:LUIQQG4XZX72QU2PNLPGN2QCDX","target":"record","payload":{"canonical_record":{"source":{"id":"2507.15424","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-21T09:24:49Z","cross_cats_sorted":[],"title_canon_sha256":"ac7738745b9ad056d15d582b59a2be36c0fc3f2cc7ced2cc7bacccfe722ed468","abstract_canon_sha256":"188a5a28e80f0ec0a94ef5d80e34bf9bbfc32c3c28309567200b69fbd103fdae"},"schema_version":"1.0"},"canonical_sha256":"5d11081b97cdffa8534f6ade66ea021dc0b366387eae16b3ef375b06b24b9f4d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:40:36.953202Z","signature_b64":"LXr8kBB0VqeiPMNVqt8YXQDC4Wu3MB/v0xA3Spi7lt3tvwZcZ/nbCEC+aoHuCW/GKrjHkAdnJO36IcyymI1rAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d11081b97cdffa8534f6ade66ea021dc0b366387eae16b3ef375b06b24b9f4d","last_reissued_at":"2026-07-05T11:40:36.952739Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:40:36.952739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.15424","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":"2026-07-05T11:40:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rn+1Otz1G7XJhqKp7jZ/o6kJ73BW5I0QJHF7nmPG9VgZetr5OYMQN0yRmCh447hqRssjcoA1qR9MMw95yGG2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:31:11.201179Z"},"content_sha256":"ff830bb086914cd40fe61936ca8649c5877dab9e85a73fe27399621dab85de88","schema_version":"1.0","event_id":"sha256:ff830bb086914cd40fe61936ca8649c5877dab9e85a73fe27399621dab85de88"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:LUIQQG4XZX72QU2PNLPGN2QCDX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Quantum Hamiltonian Descent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hongyi Zhou, Shengminjie Chen, Sirui Peng, Xiaoming Sun","submitted_at":"2025-07-21T09:24:49Z","abstract_excerpt":"Stochastic Gradient Descent (SGD) and its variants underpin modern machine learning by enabling efficient optimization of large-scale models. However, their local search nature limits exploration in complex landscapes. In this paper, we introduce Stochastic Quantum Hamiltonian Descent (SQHD), a quantum optimization algorithm that integrates the computational efficiency of stochastic gradient methods with the global exploration power of quantum dynamics. We propose a Lindbladian dynamics as the quantum analogue of continuous-time SGD. We further propose a discrete-time gate-based algorithm that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.15424","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/2507.15424/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":"2026-07-05T11:40:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yGIUoVg15iIKd6R3PtgnbWAIbSWUYAOE/1NTTFLKrQZioAA83dep04uSdpACgoQxc1OM4hmHOlThFWiNvMIaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:31:11.202240Z"},"content_sha256":"3f3f7eaa27d7535d782515a68360debfd108094f0bae64ecd4b6621877405960","schema_version":"1.0","event_id":"sha256:3f3f7eaa27d7535d782515a68360debfd108094f0bae64ecd4b6621877405960"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LUIQQG4XZX72QU2PNLPGN2QCDX/bundle.json","state_url":"https://pith.science/pith/LUIQQG4XZX72QU2PNLPGN2QCDX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LUIQQG4XZX72QU2PNLPGN2QCDX/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":"2026-08-08T12:31:11Z","links":{"resolver":"https://pith.science/pith/LUIQQG4XZX72QU2PNLPGN2QCDX","bundle":"https://pith.science/pith/LUIQQG4XZX72QU2PNLPGN2QCDX/bundle.json","state":"https://pith.science/pith/LUIQQG4XZX72QU2PNLPGN2QCDX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LUIQQG4XZX72QU2PNLPGN2QCDX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LUIQQG4XZX72QU2PNLPGN2QCDX","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":"188a5a28e80f0ec0a94ef5d80e34bf9bbfc32c3c28309567200b69fbd103fdae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-21T09:24:49Z","title_canon_sha256":"ac7738745b9ad056d15d582b59a2be36c0fc3f2cc7ced2cc7bacccfe722ed468"},"schema_version":"1.0","source":{"id":"2507.15424","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.15424","created_at":"2026-07-05T11:40:36Z"},{"alias_kind":"arxiv_version","alias_value":"2507.15424v1","created_at":"2026-07-05T11:40:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.15424","created_at":"2026-07-05T11:40:36Z"},{"alias_kind":"pith_short_12","alias_value":"LUIQQG4XZX72","created_at":"2026-07-05T11:40:36Z"},{"alias_kind":"pith_short_16","alias_value":"LUIQQG4XZX72QU2P","created_at":"2026-07-05T11:40:36Z"},{"alias_kind":"pith_short_8","alias_value":"LUIQQG4X","created_at":"2026-07-05T11:40:36Z"}],"graph_snapshots":[{"event_id":"sha256:3f3f7eaa27d7535d782515a68360debfd108094f0bae64ecd4b6621877405960","target":"graph","created_at":"2026-07-05T11:40:36Z","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/2507.15424/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Stochastic Gradient Descent (SGD) and its variants underpin modern machine learning by enabling efficient optimization of large-scale models. However, their local search nature limits exploration in complex landscapes. In this paper, we introduce Stochastic Quantum Hamiltonian Descent (SQHD), a quantum optimization algorithm that integrates the computational efficiency of stochastic gradient methods with the global exploration power of quantum dynamics. We propose a Lindbladian dynamics as the quantum analogue of continuous-time SGD. We further propose a discrete-time gate-based algorithm that","authors_text":"Hongyi Zhou, Shengminjie Chen, Sirui Peng, Xiaoming Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-21T09:24:49Z","title":"Stochastic Quantum Hamiltonian Descent"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.15424","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:ff830bb086914cd40fe61936ca8649c5877dab9e85a73fe27399621dab85de88","target":"record","created_at":"2026-07-05T11:40:36Z","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":"188a5a28e80f0ec0a94ef5d80e34bf9bbfc32c3c28309567200b69fbd103fdae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-07-21T09:24:49Z","title_canon_sha256":"ac7738745b9ad056d15d582b59a2be36c0fc3f2cc7ced2cc7bacccfe722ed468"},"schema_version":"1.0","source":{"id":"2507.15424","kind":"arxiv","version":1}},"canonical_sha256":"5d11081b97cdffa8534f6ade66ea021dc0b366387eae16b3ef375b06b24b9f4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d11081b97cdffa8534f6ade66ea021dc0b366387eae16b3ef375b06b24b9f4d","first_computed_at":"2026-07-05T11:40:36.952739Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:40:36.952739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LXr8kBB0VqeiPMNVqt8YXQDC4Wu3MB/v0xA3Spi7lt3tvwZcZ/nbCEC+aoHuCW/GKrjHkAdnJO36IcyymI1rAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:40:36.953202Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.15424","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff830bb086914cd40fe61936ca8649c5877dab9e85a73fe27399621dab85de88","sha256:3f3f7eaa27d7535d782515a68360debfd108094f0bae64ecd4b6621877405960"],"state_sha256":"9c7d31f2594b9b49b9289dbee62ae0bf15d483f8fb9fc4be5b6c7475684c6de2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9aRYMU6L74XmjkEXJxhae0OkDRUuz7c/wbAvu5lqzJ6LRWG90jCFktz2nQl28DbLc7QBcySyBxDx331LOMwbAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T12:31:11.207832Z","bundle_sha256":"ba7d35be6bd9714c0919945c7156cd2a11a6faaf4b9b55ca93c9fff2b33ba0ac"}}