{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:5VDTHHEPQ57ZXSSHKTRM6SCIKP","short_pith_number":"pith:5VDTHHEP","canonical_record":{"source":{"id":"2204.05126","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-04-11T14:11:24Z","cross_cats_sorted":["math.IT","quant-ph"],"title_canon_sha256":"e7ee73de20a4ff5989532b2283e76a03658bc799466389f6007f592045ed5d08","abstract_canon_sha256":"a7177ef135b09fc6139139eced677f928d9e11c82ff3f9720bc0e77aa2bf8eb9"},"schema_version":"1.0"},"canonical_sha256":"ed47339c8f877f9bca4754e2cf484853fc6bcc08ed241c4b7d6880d751637b2c","source":{"kind":"arxiv","id":"2204.05126","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.05126","created_at":"2026-07-05T04:13:17Z"},{"alias_kind":"arxiv_version","alias_value":"2204.05126v1","created_at":"2026-07-05T04:13:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.05126","created_at":"2026-07-05T04:13:17Z"},{"alias_kind":"pith_short_12","alias_value":"5VDTHHEPQ57Z","created_at":"2026-07-05T04:13:17Z"},{"alias_kind":"pith_short_16","alias_value":"5VDTHHEPQ57ZXSSH","created_at":"2026-07-05T04:13:17Z"},{"alias_kind":"pith_short_8","alias_value":"5VDTHHEP","created_at":"2026-07-05T04:13:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:5VDTHHEPQ57ZXSSHKTRM6SCIKP","target":"record","payload":{"canonical_record":{"source":{"id":"2204.05126","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-04-11T14:11:24Z","cross_cats_sorted":["math.IT","quant-ph"],"title_canon_sha256":"e7ee73de20a4ff5989532b2283e76a03658bc799466389f6007f592045ed5d08","abstract_canon_sha256":"a7177ef135b09fc6139139eced677f928d9e11c82ff3f9720bc0e77aa2bf8eb9"},"schema_version":"1.0"},"canonical_sha256":"ed47339c8f877f9bca4754e2cf484853fc6bcc08ed241c4b7d6880d751637b2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:13:17.613398Z","signature_b64":"EklRLW8yFp7JzZDI8OrOgUPeFdI0wdMgLpvfJoK9h/KFN0TFB3+U+U3OGp6s+D2YQwN0lmu/qwZfS8BgJFzoBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed47339c8f877f9bca4754e2cf484853fc6bcc08ed241c4b7d6880d751637b2c","last_reissued_at":"2026-07-05T04:13:17.613017Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:13:17.613017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2204.05126","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":"2026-07-05T04:13:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EgzvSDUQAe364cC5Ec/V59hozO49hij95PEsV1sSbQle+GFCY+Oz5GwcoHANbnG2yEdkDo98iccNAQdmo2ZQCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T23:20:09.310879Z"},"content_sha256":"eb25b740462f3f54651f216ee9c87a73f8090db3d7675b6e97b496f65955949c","schema_version":"1.0","event_id":"sha256:eb25b740462f3f54651f216ee9c87a73f8090db3d7675b6e97b496f65955949c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:5VDTHHEPQ57ZXSSHKTRM6SCIKP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"General Hamiltonian Representation of ML Detection Relying on the Quantum Approximate Optimization Algorithm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","quant-ph"],"primary_cat":"cs.IT","authors_text":"Gui Lu Long, Jingjing Cui, Lajos Hanzo","submitted_at":"2022-04-11T14:11:24Z","abstract_excerpt":"The quantum approximate optimization algorithm (QAOA) conceived for solving combinatorial optimization problems has attracted significant interest since it can be run on the existing noisy intermediate-scale quantum (NISQ) devices. A primary step of using the QAOA is the efficient Hamiltonian construction based on different problem instances. Hence, we solve the maximum likelihood (ML) detection problem for general constellations by appropriately adapting the QAOA, which gives rise to a new paradigm in communication systems. We first transform the ML detection problem into a weighted minimum $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.05126","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/2204.05126/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":"2026-07-05T04:13:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0dxCeXD+I45JcpCqH7lY4Bcztm6p/PLwu1LMjvhfBJ9UBXGdEUqRoY3zetN/1/7BV5n2i6EnM5uxVE68tW5WCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T23:20:09.311387Z"},"content_sha256":"d51e0d1e750ef4dae37742ae461f3ef993126e60b4a90abf56ffb6d40cc7f04b","schema_version":"1.0","event_id":"sha256:d51e0d1e750ef4dae37742ae461f3ef993126e60b4a90abf56ffb6d40cc7f04b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5VDTHHEPQ57ZXSSHKTRM6SCIKP/bundle.json","state_url":"https://pith.science/pith/5VDTHHEPQ57ZXSSHKTRM6SCIKP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5VDTHHEPQ57ZXSSHKTRM6SCIKP/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":"2026-08-04T23:20:09Z","links":{"resolver":"https://pith.science/pith/5VDTHHEPQ57ZXSSHKTRM6SCIKP","bundle":"https://pith.science/pith/5VDTHHEPQ57ZXSSHKTRM6SCIKP/bundle.json","state":"https://pith.science/pith/5VDTHHEPQ57ZXSSHKTRM6SCIKP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5VDTHHEPQ57ZXSSHKTRM6SCIKP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:5VDTHHEPQ57ZXSSHKTRM6SCIKP","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":"a7177ef135b09fc6139139eced677f928d9e11c82ff3f9720bc0e77aa2bf8eb9","cross_cats_sorted":["math.IT","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-04-11T14:11:24Z","title_canon_sha256":"e7ee73de20a4ff5989532b2283e76a03658bc799466389f6007f592045ed5d08"},"schema_version":"1.0","source":{"id":"2204.05126","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.05126","created_at":"2026-07-05T04:13:17Z"},{"alias_kind":"arxiv_version","alias_value":"2204.05126v1","created_at":"2026-07-05T04:13:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.05126","created_at":"2026-07-05T04:13:17Z"},{"alias_kind":"pith_short_12","alias_value":"5VDTHHEPQ57Z","created_at":"2026-07-05T04:13:17Z"},{"alias_kind":"pith_short_16","alias_value":"5VDTHHEPQ57ZXSSH","created_at":"2026-07-05T04:13:17Z"},{"alias_kind":"pith_short_8","alias_value":"5VDTHHEP","created_at":"2026-07-05T04:13:17Z"}],"graph_snapshots":[{"event_id":"sha256:d51e0d1e750ef4dae37742ae461f3ef993126e60b4a90abf56ffb6d40cc7f04b","target":"graph","created_at":"2026-07-05T04:13:17Z","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/2204.05126/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The quantum approximate optimization algorithm (QAOA) conceived for solving combinatorial optimization problems has attracted significant interest since it can be run on the existing noisy intermediate-scale quantum (NISQ) devices. A primary step of using the QAOA is the efficient Hamiltonian construction based on different problem instances. Hence, we solve the maximum likelihood (ML) detection problem for general constellations by appropriately adapting the QAOA, which gives rise to a new paradigm in communication systems. We first transform the ML detection problem into a weighted minimum $","authors_text":"Gui Lu Long, Jingjing Cui, Lajos Hanzo","cross_cats":["math.IT","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-04-11T14:11:24Z","title":"General Hamiltonian Representation of ML Detection Relying on the Quantum Approximate Optimization Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.05126","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:eb25b740462f3f54651f216ee9c87a73f8090db3d7675b6e97b496f65955949c","target":"record","created_at":"2026-07-05T04:13:17Z","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":"a7177ef135b09fc6139139eced677f928d9e11c82ff3f9720bc0e77aa2bf8eb9","cross_cats_sorted":["math.IT","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-04-11T14:11:24Z","title_canon_sha256":"e7ee73de20a4ff5989532b2283e76a03658bc799466389f6007f592045ed5d08"},"schema_version":"1.0","source":{"id":"2204.05126","kind":"arxiv","version":1}},"canonical_sha256":"ed47339c8f877f9bca4754e2cf484853fc6bcc08ed241c4b7d6880d751637b2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed47339c8f877f9bca4754e2cf484853fc6bcc08ed241c4b7d6880d751637b2c","first_computed_at":"2026-07-05T04:13:17.613017Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:13:17.613017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EklRLW8yFp7JzZDI8OrOgUPeFdI0wdMgLpvfJoK9h/KFN0TFB3+U+U3OGp6s+D2YQwN0lmu/qwZfS8BgJFzoBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:13:17.613398Z","signed_message":"canonical_sha256_bytes"},"source_id":"2204.05126","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb25b740462f3f54651f216ee9c87a73f8090db3d7675b6e97b496f65955949c","sha256:d51e0d1e750ef4dae37742ae461f3ef993126e60b4a90abf56ffb6d40cc7f04b"],"state_sha256":"cf61015c71b0b39e780cb582af5387cdefdccd3035e2167a2b3079328867cdac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CR3sycWaSXsTutidIYdtIQESmAH3p+c+FwJd9SHiRm70r8g4matY3Tz1B6WPZYazO+DxzIjdfnQAATI6OLiPAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T23:20:09.315379Z","bundle_sha256":"3738250cce23d53f38f45cffd121927bb62aca296e26c449de868f515861898e"}}