{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:JPHNLYRNTHLQ362JPKP6HP2ZNX","short_pith_number":"pith:JPHNLYRN","canonical_record":{"source":{"id":"2507.17435","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-23T11:50:47Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"3be4ae4e190b92d6f5756aa4b236369c56faad7d1765e0df8400e6e478a128e6","abstract_canon_sha256":"0e4ee8b2a77adb7f3675b2719bc3717e88d0b86665accafeb6e0f6b88a1ad3bc"},"schema_version":"1.0"},"canonical_sha256":"4bced5e22d99d70dfb497a9fe3bf596df6e411dcf472b3f0b766cb4754bd916f","source":{"kind":"arxiv","id":"2507.17435","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.17435","created_at":"2026-07-05T11:46:45Z"},{"alias_kind":"arxiv_version","alias_value":"2507.17435v2","created_at":"2026-07-05T11:46:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.17435","created_at":"2026-07-05T11:46:45Z"},{"alias_kind":"pith_short_12","alias_value":"JPHNLYRNTHLQ","created_at":"2026-07-05T11:46:45Z"},{"alias_kind":"pith_short_16","alias_value":"JPHNLYRNTHLQ362J","created_at":"2026-07-05T11:46:45Z"},{"alias_kind":"pith_short_8","alias_value":"JPHNLYRN","created_at":"2026-07-05T11:46:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:JPHNLYRNTHLQ362JPKP6HP2ZNX","target":"record","payload":{"canonical_record":{"source":{"id":"2507.17435","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-23T11:50:47Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"3be4ae4e190b92d6f5756aa4b236369c56faad7d1765e0df8400e6e478a128e6","abstract_canon_sha256":"0e4ee8b2a77adb7f3675b2719bc3717e88d0b86665accafeb6e0f6b88a1ad3bc"},"schema_version":"1.0"},"canonical_sha256":"4bced5e22d99d70dfb497a9fe3bf596df6e411dcf472b3f0b766cb4754bd916f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:46:45.484063Z","signature_b64":"e+hAZp0bqBZFMCg0RcIzDy46qEPIcNKWmFqV+GCzUip6bnFKOiVIGrnxrljnMeNgamELJXT/tO8OTfPEZw/bDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bced5e22d99d70dfb497a9fe3bf596df6e411dcf472b3f0b766cb4754bd916f","last_reissued_at":"2026-07-05T11:46:45.483547Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:46:45.483547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.17435","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":"2026-07-05T11:46:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ilBukzAfaVntgggi5wHQxjt+/Y9GV2ayC1MwlkOdG+Nxu7gskjn4KyUZNmP2iDQw5FWsGMQQnFJv1LoHzKHzAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:24:05.311838Z"},"content_sha256":"300ffe9ddb66ff875c6ab8d3cdbe42580950839e83e4f555e77bc24ac738f91e","schema_version":"1.0","event_id":"sha256:300ffe9ddb66ff875c6ab8d3cdbe42580950839e83e4f555e77bc24ac738f91e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:JPHNLYRNTHLQ362JPKP6HP2ZNX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Unified Toolbox for Multipartite Entanglement Certification","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"quant-ph","authors_text":"Jannis Halbey, Sebastian Pokutta, S\\'ebastien Designolle, Ye-Chao Liu","submitted_at":"2025-07-23T11:50:47Z","abstract_excerpt":"We present a unified framework for multipartite entanglement characterization based on the conditional gradient (CG) method, incorporating both fast heuristic detection and rigorous witness construction with numerical error control. Our method enables entanglement certification in quantum systems of up to ten qubits and applies to arbitrary entanglement structures. We demonstrate its power by closing the gap between entanglement and separability bounds in white noise robustness benchmarks for a class of bound entangled states. Furthermore, the framework extends to entanglement robustness under"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.17435","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/2507.17435/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":"2026-07-05T11:46:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4EYtVUGmKxMJ/Enc6249lT9lsjsm8IK2Ebx37HAxuTQE8SBs/Dd8jdZLqSnK/HGZww4qGb965bESKYlYapWjAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:24:05.312216Z"},"content_sha256":"4111f797313f706f75cf1677ee50d9e6773e4c4bc425c53f3c5b0f9916e2bc6c","schema_version":"1.0","event_id":"sha256:4111f797313f706f75cf1677ee50d9e6773e4c4bc425c53f3c5b0f9916e2bc6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JPHNLYRNTHLQ362JPKP6HP2ZNX/bundle.json","state_url":"https://pith.science/pith/JPHNLYRNTHLQ362JPKP6HP2ZNX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JPHNLYRNTHLQ362JPKP6HP2ZNX/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":"2026-08-04T05:24:05Z","links":{"resolver":"https://pith.science/pith/JPHNLYRNTHLQ362JPKP6HP2ZNX","bundle":"https://pith.science/pith/JPHNLYRNTHLQ362JPKP6HP2ZNX/bundle.json","state":"https://pith.science/pith/JPHNLYRNTHLQ362JPKP6HP2ZNX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JPHNLYRNTHLQ362JPKP6HP2ZNX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:JPHNLYRNTHLQ362JPKP6HP2ZNX","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":"0e4ee8b2a77adb7f3675b2719bc3717e88d0b86665accafeb6e0f6b88a1ad3bc","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-23T11:50:47Z","title_canon_sha256":"3be4ae4e190b92d6f5756aa4b236369c56faad7d1765e0df8400e6e478a128e6"},"schema_version":"1.0","source":{"id":"2507.17435","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.17435","created_at":"2026-07-05T11:46:45Z"},{"alias_kind":"arxiv_version","alias_value":"2507.17435v2","created_at":"2026-07-05T11:46:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.17435","created_at":"2026-07-05T11:46:45Z"},{"alias_kind":"pith_short_12","alias_value":"JPHNLYRNTHLQ","created_at":"2026-07-05T11:46:45Z"},{"alias_kind":"pith_short_16","alias_value":"JPHNLYRNTHLQ362J","created_at":"2026-07-05T11:46:45Z"},{"alias_kind":"pith_short_8","alias_value":"JPHNLYRN","created_at":"2026-07-05T11:46:45Z"}],"graph_snapshots":[{"event_id":"sha256:4111f797313f706f75cf1677ee50d9e6773e4c4bc425c53f3c5b0f9916e2bc6c","target":"graph","created_at":"2026-07-05T11:46:45Z","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/2507.17435/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a unified framework for multipartite entanglement characterization based on the conditional gradient (CG) method, incorporating both fast heuristic detection and rigorous witness construction with numerical error control. Our method enables entanglement certification in quantum systems of up to ten qubits and applies to arbitrary entanglement structures. We demonstrate its power by closing the gap between entanglement and separability bounds in white noise robustness benchmarks for a class of bound entangled states. Furthermore, the framework extends to entanglement robustness under","authors_text":"Jannis Halbey, Sebastian Pokutta, S\\'ebastien Designolle, Ye-Chao Liu","cross_cats":["math.OC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-23T11:50:47Z","title":"A Unified Toolbox for Multipartite Entanglement Certification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.17435","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":"sha256:300ffe9ddb66ff875c6ab8d3cdbe42580950839e83e4f555e77bc24ac738f91e","target":"record","created_at":"2026-07-05T11:46:45Z","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":"0e4ee8b2a77adb7f3675b2719bc3717e88d0b86665accafeb6e0f6b88a1ad3bc","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-23T11:50:47Z","title_canon_sha256":"3be4ae4e190b92d6f5756aa4b236369c56faad7d1765e0df8400e6e478a128e6"},"schema_version":"1.0","source":{"id":"2507.17435","kind":"arxiv","version":2}},"canonical_sha256":"4bced5e22d99d70dfb497a9fe3bf596df6e411dcf472b3f0b766cb4754bd916f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bced5e22d99d70dfb497a9fe3bf596df6e411dcf472b3f0b766cb4754bd916f","first_computed_at":"2026-07-05T11:46:45.483547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:46:45.483547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e+hAZp0bqBZFMCg0RcIzDy46qEPIcNKWmFqV+GCzUip6bnFKOiVIGrnxrljnMeNgamELJXT/tO8OTfPEZw/bDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:46:45.484063Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.17435","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:300ffe9ddb66ff875c6ab8d3cdbe42580950839e83e4f555e77bc24ac738f91e","sha256:4111f797313f706f75cf1677ee50d9e6773e4c4bc425c53f3c5b0f9916e2bc6c"],"state_sha256":"9289592d46d8a57101ac58e3033f359197e5d090da39309cc1a9e56afc8271cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WchdOiSdE++qlxyzrc1NIV1xvl5e+AHWa7mXvZUA9GmswVH8QU+1VAKsk8MFzSw93AaW2xze3BuFT15y7BbkDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T05:24:05.314501Z","bundle_sha256":"3099acb9cc943f2cc8fcec2c53bbcf8706b7cbb686f5427426081d90dae5500a"}}