{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:EISNVURPMPHHVIILWHUVPNULDW","short_pith_number":"pith:EISNVURP","canonical_record":{"source":{"id":"2509.09642","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-09-11T17:30:32Z","cross_cats_sorted":[],"title_canon_sha256":"9d39568dbd9bb3cbbb869ef06fe0f7494b4d86d8a8c5512f466c6a115bfbb944","abstract_canon_sha256":"9f870617282862c59064fb655b7e66b4d3ad4b249488bc772d5cbff8fa07ea5c"},"schema_version":"1.0"},"canonical_sha256":"2224dad22f63ce7aa10bb1e957b68b1d8fd577768faf7bd0e7982360d1178266","source":{"kind":"arxiv","id":"2509.09642","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.09642","created_at":"2026-07-05T12:09:40Z"},{"alias_kind":"arxiv_version","alias_value":"2509.09642v1","created_at":"2026-07-05T12:09:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.09642","created_at":"2026-07-05T12:09:40Z"},{"alias_kind":"pith_short_12","alias_value":"EISNVURPMPHH","created_at":"2026-07-05T12:09:40Z"},{"alias_kind":"pith_short_16","alias_value":"EISNVURPMPHHVIIL","created_at":"2026-07-05T12:09:40Z"},{"alias_kind":"pith_short_8","alias_value":"EISNVURP","created_at":"2026-07-05T12:09:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:EISNVURPMPHHVIILWHUVPNULDW","target":"record","payload":{"canonical_record":{"source":{"id":"2509.09642","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-09-11T17:30:32Z","cross_cats_sorted":[],"title_canon_sha256":"9d39568dbd9bb3cbbb869ef06fe0f7494b4d86d8a8c5512f466c6a115bfbb944","abstract_canon_sha256":"9f870617282862c59064fb655b7e66b4d3ad4b249488bc772d5cbff8fa07ea5c"},"schema_version":"1.0"},"canonical_sha256":"2224dad22f63ce7aa10bb1e957b68b1d8fd577768faf7bd0e7982360d1178266","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:09:40.087347Z","signature_b64":"J2rM7oX0b9peK41/ItiAZN8bX5zNbMybVB/DIYGo8MVrhBaCWLgQzhnBriQ1aIXMO/Utf05ium99Ilv6BpqyBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2224dad22f63ce7aa10bb1e957b68b1d8fd577768faf7bd0e7982360d1178266","last_reissued_at":"2026-07-05T12:09:40.086900Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:09:40.086900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.09642","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":"2026-07-05T12:09:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pme9HT0S8uuo+AoW0JHKDkHOsvEBhxE4fHR4kE0RO54Oe6WXEfNg+Tv4oYay47LkznYs6J/0HLPQLoOefh8KAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T21:25:33.341831Z"},"content_sha256":"3c9323d14e21e4721f455c19c5c4104c05f465caaf1e045e447f97ecad400d89","schema_version":"1.0","event_id":"sha256:3c9323d14e21e4721f455c19c5c4104c05f465caaf1e045e447f97ecad400d89"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:EISNVURPMPHHVIILWHUVPNULDW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resource quantification for programming low-depth quantum circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Entong He, Yuxiang Yang","submitted_at":"2025-09-11T17:30:32Z","abstract_excerpt":"Noisy intermediate-scale quantum (NISQ) devices pave the way to implement quantum algorithms that exhibit supremacy over their classical counterparts. Due to the intrinsic noise and decoherence in the physical system, NISQ computations are naturally modeled as large-size but low-depth quantum circuits. Practically, to execute such quantum circuits, we need to pass commands to a programmable quantum computer. Existing programming approaches, dedicated to generic unitary transformations, are inefficient in terms of the computational resources under the low-depth assumption and remain far from sa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.09642","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/2509.09642/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":"2026-07-05T12:09:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u0VexDX6pp8AcRNlbT90UfeE2fsHj7nYbNyotlwRsx/iMbHfiVUoyCmXgtxIsFscnh2A3RQ/kuAUUKYxHmdhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T21:25:33.342352Z"},"content_sha256":"b98ac93c27db4238e85febdbd1f4c4440e542551ee1df6788774e774ef6f4158","schema_version":"1.0","event_id":"sha256:b98ac93c27db4238e85febdbd1f4c4440e542551ee1df6788774e774ef6f4158"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EISNVURPMPHHVIILWHUVPNULDW/bundle.json","state_url":"https://pith.science/pith/EISNVURPMPHHVIILWHUVPNULDW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EISNVURPMPHHVIILWHUVPNULDW/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":"2026-08-07T21:25:33Z","links":{"resolver":"https://pith.science/pith/EISNVURPMPHHVIILWHUVPNULDW","bundle":"https://pith.science/pith/EISNVURPMPHHVIILWHUVPNULDW/bundle.json","state":"https://pith.science/pith/EISNVURPMPHHVIILWHUVPNULDW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EISNVURPMPHHVIILWHUVPNULDW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EISNVURPMPHHVIILWHUVPNULDW","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":"9f870617282862c59064fb655b7e66b4d3ad4b249488bc772d5cbff8fa07ea5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-09-11T17:30:32Z","title_canon_sha256":"9d39568dbd9bb3cbbb869ef06fe0f7494b4d86d8a8c5512f466c6a115bfbb944"},"schema_version":"1.0","source":{"id":"2509.09642","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.09642","created_at":"2026-07-05T12:09:40Z"},{"alias_kind":"arxiv_version","alias_value":"2509.09642v1","created_at":"2026-07-05T12:09:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.09642","created_at":"2026-07-05T12:09:40Z"},{"alias_kind":"pith_short_12","alias_value":"EISNVURPMPHH","created_at":"2026-07-05T12:09:40Z"},{"alias_kind":"pith_short_16","alias_value":"EISNVURPMPHHVIIL","created_at":"2026-07-05T12:09:40Z"},{"alias_kind":"pith_short_8","alias_value":"EISNVURP","created_at":"2026-07-05T12:09:40Z"}],"graph_snapshots":[{"event_id":"sha256:b98ac93c27db4238e85febdbd1f4c4440e542551ee1df6788774e774ef6f4158","target":"graph","created_at":"2026-07-05T12:09:40Z","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/2509.09642/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Noisy intermediate-scale quantum (NISQ) devices pave the way to implement quantum algorithms that exhibit supremacy over their classical counterparts. Due to the intrinsic noise and decoherence in the physical system, NISQ computations are naturally modeled as large-size but low-depth quantum circuits. Practically, to execute such quantum circuits, we need to pass commands to a programmable quantum computer. Existing programming approaches, dedicated to generic unitary transformations, are inefficient in terms of the computational resources under the low-depth assumption and remain far from sa","authors_text":"Entong He, Yuxiang Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-09-11T17:30:32Z","title":"Resource quantification for programming low-depth quantum circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.09642","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":"sha256:3c9323d14e21e4721f455c19c5c4104c05f465caaf1e045e447f97ecad400d89","target":"record","created_at":"2026-07-05T12:09:40Z","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":"9f870617282862c59064fb655b7e66b4d3ad4b249488bc772d5cbff8fa07ea5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-09-11T17:30:32Z","title_canon_sha256":"9d39568dbd9bb3cbbb869ef06fe0f7494b4d86d8a8c5512f466c6a115bfbb944"},"schema_version":"1.0","source":{"id":"2509.09642","kind":"arxiv","version":1}},"canonical_sha256":"2224dad22f63ce7aa10bb1e957b68b1d8fd577768faf7bd0e7982360d1178266","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2224dad22f63ce7aa10bb1e957b68b1d8fd577768faf7bd0e7982360d1178266","first_computed_at":"2026-07-05T12:09:40.086900Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:09:40.086900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J2rM7oX0b9peK41/ItiAZN8bX5zNbMybVB/DIYGo8MVrhBaCWLgQzhnBriQ1aIXMO/Utf05ium99Ilv6BpqyBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T12:09:40.087347Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.09642","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c9323d14e21e4721f455c19c5c4104c05f465caaf1e045e447f97ecad400d89","sha256:b98ac93c27db4238e85febdbd1f4c4440e542551ee1df6788774e774ef6f4158"],"state_sha256":"7729abeef7ef32a4120df030ade2d1325439e35c207e3bb2f68b054b2e2366b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fekwqJnVpnvNWMnlCM1seUjruSUJdbHyzifiUL3KxqbOR13eEycgTbBWcuYOt55QKbPRxz5mjXiKwGLApvhQCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T21:25:33.353003Z","bundle_sha256":"1e06171bd1bf6996004ff4348c50a74f87de30d651b62bf47988c4fd80838da2"}}