{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:7T5FPSA3WG5YORXICRWOHPECIC","short_pith_number":"pith:7T5FPSA3","canonical_record":{"source":{"id":"2212.06480","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2022-12-13T11:01:42Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"fdf54e9bad62d0f88e9011233699b186418993c6b7add68bf05cefe8822e4aca","abstract_canon_sha256":"13923c2a244d73c9f7fc9ad26f3fbb725553722e165867f39e10b08b286c23a0"},"schema_version":"1.0"},"canonical_sha256":"fcfa57c81bb1bb8746e8146ce3bc8240a9761dd2223b9fcbdf5258716cbd8fd8","source":{"kind":"arxiv","id":"2212.06480","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.06480","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"arxiv_version","alias_value":"2212.06480v1","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.06480","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"pith_short_12","alias_value":"7T5FPSA3WG5Y","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"pith_short_16","alias_value":"7T5FPSA3WG5YORXI","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"pith_short_8","alias_value":"7T5FPSA3","created_at":"2026-07-05T07:52:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:7T5FPSA3WG5YORXICRWOHPECIC","target":"record","payload":{"canonical_record":{"source":{"id":"2212.06480","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2022-12-13T11:01:42Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"fdf54e9bad62d0f88e9011233699b186418993c6b7add68bf05cefe8822e4aca","abstract_canon_sha256":"13923c2a244d73c9f7fc9ad26f3fbb725553722e165867f39e10b08b286c23a0"},"schema_version":"1.0"},"canonical_sha256":"fcfa57c81bb1bb8746e8146ce3bc8240a9761dd2223b9fcbdf5258716cbd8fd8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:52:39.430164Z","signature_b64":"EkdgaDhHbGevLr/FJKLVOcNUy2xooxEKZdLu/9OAAAC4LZMjrNWrJOxyID39NAvdg6H7pbxaZfjZ9a3JskZ2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fcfa57c81bb1bb8746e8146ce3bc8240a9761dd2223b9fcbdf5258716cbd8fd8","last_reissued_at":"2026-07-05T07:52:39.429716Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:52:39.429716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.06480","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":"2026-07-05T07:52:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wAnFQYVInz2LYbgHKLX6TFB8niEd0rp+Um94gg1LPdjcqe47nfgZ6McEmB+FFJGw8YdXgvg5sjb6pP/N/Jm5AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T03:26:41.045855Z"},"content_sha256":"8497e3d9b6c93814bebca7569c07e5bf52e89537a82bdfcc8f74684a62a9f940","schema_version":"1.0","event_id":"sha256:8497e3d9b6c93814bebca7569c07e5bf52e89537a82bdfcc8f74684a62a9f940"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:7T5FPSA3WG5YORXICRWOHPECIC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Quantum Computing Approach for the Unit Commitment Problem","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"quant-ph","authors_text":"Kai Plociennik, Michael Trebing, Pascal Halffmann, Patrick Holzer","submitted_at":"2022-12-13T11:01:42Z","abstract_excerpt":"Planning energy production is a challenging task due to its cost-sensitivity, fast-moving energy markets, uncertainties in demand, and technical constraints of power plants. Thus, more complex models of this so-called \\emph{unit commitment problem (UCP)} have to be solved more rapidly, a task that probably can be solved more efficiently via quantum computing. In this article, we model a UCP with minimum running and idle times as a quadratic unconstrained optimization problem to solve it on quantum computing hardware. First experiments confirm the advantages of our formulation in terms of qubit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.06480","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/2212.06480/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":"2026-07-05T07:52:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ovtR2D9m3ZPwK0o9wyifgdDEzzX5ktbMJVwakMQdrGXCK8M5fvNvi4OV5YV+s9p92rt14ZFuaR4gav75yl1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T03:26:41.046674Z"},"content_sha256":"92bb33202ee0ead537f52e082fef03a440e150679f7ba53f2b64137f291d5b80","schema_version":"1.0","event_id":"sha256:92bb33202ee0ead537f52e082fef03a440e150679f7ba53f2b64137f291d5b80"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7T5FPSA3WG5YORXICRWOHPECIC/bundle.json","state_url":"https://pith.science/pith/7T5FPSA3WG5YORXICRWOHPECIC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7T5FPSA3WG5YORXICRWOHPECIC/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":"2026-08-16T03:26:41Z","links":{"resolver":"https://pith.science/pith/7T5FPSA3WG5YORXICRWOHPECIC","bundle":"https://pith.science/pith/7T5FPSA3WG5YORXICRWOHPECIC/bundle.json","state":"https://pith.science/pith/7T5FPSA3WG5YORXICRWOHPECIC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7T5FPSA3WG5YORXICRWOHPECIC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7T5FPSA3WG5YORXICRWOHPECIC","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":"13923c2a244d73c9f7fc9ad26f3fbb725553722e165867f39e10b08b286c23a0","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2022-12-13T11:01:42Z","title_canon_sha256":"fdf54e9bad62d0f88e9011233699b186418993c6b7add68bf05cefe8822e4aca"},"schema_version":"1.0","source":{"id":"2212.06480","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.06480","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"arxiv_version","alias_value":"2212.06480v1","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.06480","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"pith_short_12","alias_value":"7T5FPSA3WG5Y","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"pith_short_16","alias_value":"7T5FPSA3WG5YORXI","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"pith_short_8","alias_value":"7T5FPSA3","created_at":"2026-07-05T07:52:39Z"}],"graph_snapshots":[{"event_id":"sha256:92bb33202ee0ead537f52e082fef03a440e150679f7ba53f2b64137f291d5b80","target":"graph","created_at":"2026-07-05T07:52:39Z","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/2212.06480/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Planning energy production is a challenging task due to its cost-sensitivity, fast-moving energy markets, uncertainties in demand, and technical constraints of power plants. Thus, more complex models of this so-called \\emph{unit commitment problem (UCP)} have to be solved more rapidly, a task that probably can be solved more efficiently via quantum computing. In this article, we model a UCP with minimum running and idle times as a quadratic unconstrained optimization problem to solve it on quantum computing hardware. First experiments confirm the advantages of our formulation in terms of qubit","authors_text":"Kai Plociennik, Michael Trebing, Pascal Halffmann, Patrick Holzer","cross_cats":["math.OC"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2022-12-13T11:01:42Z","title":"A Quantum Computing Approach for the Unit Commitment Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.06480","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":"sha256:8497e3d9b6c93814bebca7569c07e5bf52e89537a82bdfcc8f74684a62a9f940","target":"record","created_at":"2026-07-05T07:52:39Z","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":"13923c2a244d73c9f7fc9ad26f3fbb725553722e165867f39e10b08b286c23a0","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2022-12-13T11:01:42Z","title_canon_sha256":"fdf54e9bad62d0f88e9011233699b186418993c6b7add68bf05cefe8822e4aca"},"schema_version":"1.0","source":{"id":"2212.06480","kind":"arxiv","version":1}},"canonical_sha256":"fcfa57c81bb1bb8746e8146ce3bc8240a9761dd2223b9fcbdf5258716cbd8fd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcfa57c81bb1bb8746e8146ce3bc8240a9761dd2223b9fcbdf5258716cbd8fd8","first_computed_at":"2026-07-05T07:52:39.429716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:52:39.429716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EkdgaDhHbGevLr/FJKLVOcNUy2xooxEKZdLu/9OAAAC4LZMjrNWrJOxyID39NAvdg6H7pbxaZfjZ9a3JskZ2Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:52:39.430164Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.06480","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8497e3d9b6c93814bebca7569c07e5bf52e89537a82bdfcc8f74684a62a9f940","sha256:92bb33202ee0ead537f52e082fef03a440e150679f7ba53f2b64137f291d5b80"],"state_sha256":"de0c5e25ff71010864bdbde70c751d98ff61c30bd9c24136d88d748883721b9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0QvKPb2e1lozWafs66mqWK10VqQ38fOlbUzv7CiZp6I42/szm2FnGYpB0FXGe2E1Mg2ragGn9wM/cmzhTWvHBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T03:26:41.053506Z","bundle_sha256":"e4e6b0f042188ddf504d7f4a9806dfb80a60697b4052b5d900be210e722bb7b0"}}