{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TCZY7OH4I2GZD3A2DJKBQTD3ND","short_pith_number":"pith:TCZY7OH4","canonical_record":{"source":{"id":"1610.09432","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-10-29T00:42:47Z","cross_cats_sorted":[],"title_canon_sha256":"bba806cfc3d6e4704eea699de033b3c0a7fa82dd5f506f70947d3b0dc43d99f3","abstract_canon_sha256":"ab499d6f32bd781a1811869f14d5c967b8d0ce49545ea658cba28bd763216957"},"schema_version":"1.0"},"canonical_sha256":"98b38fb8fc468d91ec1a1a54184c7b68cf82019215b069466b56b0e7efa58cc8","source":{"kind":"arxiv","id":"1610.09432","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09432","created_at":"2026-05-18T01:00:05Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09432v2","created_at":"2026-05-18T01:00:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09432","created_at":"2026-05-18T01:00:05Z"},{"alias_kind":"pith_short_12","alias_value":"TCZY7OH4I2GZ","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TCZY7OH4I2GZD3A2","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TCZY7OH4","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TCZY7OH4I2GZD3A2DJKBQTD3ND","target":"record","payload":{"canonical_record":{"source":{"id":"1610.09432","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-10-29T00:42:47Z","cross_cats_sorted":[],"title_canon_sha256":"bba806cfc3d6e4704eea699de033b3c0a7fa82dd5f506f70947d3b0dc43d99f3","abstract_canon_sha256":"ab499d6f32bd781a1811869f14d5c967b8d0ce49545ea658cba28bd763216957"},"schema_version":"1.0"},"canonical_sha256":"98b38fb8fc468d91ec1a1a54184c7b68cf82019215b069466b56b0e7efa58cc8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:05.195740Z","signature_b64":"cNWj6z6vx8Mr/kl8Cf7boPFGKPCuz3+iozIngG9a1jHpbhM9mbEJ5E6FHLdvwec1l6sfypqN7VAbkYZiH7hYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98b38fb8fc468d91ec1a1a54184c7b68cf82019215b069466b56b0e7efa58cc8","last_reissued_at":"2026-05-18T01:00:05.194907Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:05.194907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.09432","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":"2026-05-18T01:00:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ji6B+xV2tP+wAFf799Ok21z8fZl0nj117wM8d1oVvXiNiAunjeQM3qHXg14FXGyWOFKZIcMqv/oTtm5essiCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:58:49.852446Z"},"content_sha256":"d7af42e54c2e3df571e3a0b75a8c934fc9124b310a62264f6c8ba932897cd656","schema_version":"1.0","event_id":"sha256:d7af42e54c2e3df571e3a0b75a8c934fc9124b310a62264f6c8ba932897cd656"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TCZY7OH4I2GZD3A2DJKBQTD3ND","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust linear control of nonconvex battery operation in transmission systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Carsten Matke, Daniel Bienstock, Gonzalo Munoz, Shuoguang Yang","submitted_at":"2016-10-29T00:42:47Z","abstract_excerpt":"We describe a robust multiperiod transmission plan- ning model including renewables and batteries, where battery output is used to partly offset renewable output deviations from forecast. A central element is a nonconvex battery operation model which is used with a robust model of forecast errors and a linear control scheme. Even though the problem is nonconvex we provide an efficient and theoretically valid algorithm that effectively solves cases on large transmission systems. Index Terms. Batteries, control, robust optimization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09432","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":""},"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":"2026-05-18T01:00:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GjzsJAWyxul5eUgcInhV10Gf9n9HIaRX4BmDdVClKfjj57srEajvoEtGJ2l9phfKYkhwCx8WU/AGZpwYxYIWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:58:49.852882Z"},"content_sha256":"f58b87a7fa480534acb950c23cc3a39c856ecd006cf8469c4720554808919d7f","schema_version":"1.0","event_id":"sha256:f58b87a7fa480534acb950c23cc3a39c856ecd006cf8469c4720554808919d7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TCZY7OH4I2GZD3A2DJKBQTD3ND/bundle.json","state_url":"https://pith.science/pith/TCZY7OH4I2GZD3A2DJKBQTD3ND/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TCZY7OH4I2GZD3A2DJKBQTD3ND/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":"2026-05-27T11:58:49Z","links":{"resolver":"https://pith.science/pith/TCZY7OH4I2GZD3A2DJKBQTD3ND","bundle":"https://pith.science/pith/TCZY7OH4I2GZD3A2DJKBQTD3ND/bundle.json","state":"https://pith.science/pith/TCZY7OH4I2GZD3A2DJKBQTD3ND/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TCZY7OH4I2GZD3A2DJKBQTD3ND/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TCZY7OH4I2GZD3A2DJKBQTD3ND","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":"ab499d6f32bd781a1811869f14d5c967b8d0ce49545ea658cba28bd763216957","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-10-29T00:42:47Z","title_canon_sha256":"bba806cfc3d6e4704eea699de033b3c0a7fa82dd5f506f70947d3b0dc43d99f3"},"schema_version":"1.0","source":{"id":"1610.09432","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09432","created_at":"2026-05-18T01:00:05Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09432v2","created_at":"2026-05-18T01:00:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09432","created_at":"2026-05-18T01:00:05Z"},{"alias_kind":"pith_short_12","alias_value":"TCZY7OH4I2GZ","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TCZY7OH4I2GZD3A2","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TCZY7OH4","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:f58b87a7fa480534acb950c23cc3a39c856ecd006cf8469c4720554808919d7f","target":"graph","created_at":"2026-05-18T01:00:05Z","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"},"paper":{"abstract_excerpt":"We describe a robust multiperiod transmission plan- ning model including renewables and batteries, where battery output is used to partly offset renewable output deviations from forecast. A central element is a nonconvex battery operation model which is used with a robust model of forecast errors and a linear control scheme. Even though the problem is nonconvex we provide an efficient and theoretically valid algorithm that effectively solves cases on large transmission systems. Index Terms. Batteries, control, robust optimization.","authors_text":"Carsten Matke, Daniel Bienstock, Gonzalo Munoz, Shuoguang Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-10-29T00:42:47Z","title":"Robust linear control of nonconvex battery operation in transmission systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09432","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:d7af42e54c2e3df571e3a0b75a8c934fc9124b310a62264f6c8ba932897cd656","target":"record","created_at":"2026-05-18T01:00:05Z","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":"ab499d6f32bd781a1811869f14d5c967b8d0ce49545ea658cba28bd763216957","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-10-29T00:42:47Z","title_canon_sha256":"bba806cfc3d6e4704eea699de033b3c0a7fa82dd5f506f70947d3b0dc43d99f3"},"schema_version":"1.0","source":{"id":"1610.09432","kind":"arxiv","version":2}},"canonical_sha256":"98b38fb8fc468d91ec1a1a54184c7b68cf82019215b069466b56b0e7efa58cc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98b38fb8fc468d91ec1a1a54184c7b68cf82019215b069466b56b0e7efa58cc8","first_computed_at":"2026-05-18T01:00:05.194907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:05.194907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cNWj6z6vx8Mr/kl8Cf7boPFGKPCuz3+iozIngG9a1jHpbhM9mbEJ5E6FHLdvwec1l6sfypqN7VAbkYZiH7hYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:05.195740Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09432","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7af42e54c2e3df571e3a0b75a8c934fc9124b310a62264f6c8ba932897cd656","sha256:f58b87a7fa480534acb950c23cc3a39c856ecd006cf8469c4720554808919d7f"],"state_sha256":"a91acb33c9983b57ea80cff05f593f6db91d583035777eaaae8a083d811338a3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h0b0wuu7NYZQeCUi05HzMEkvxyPwAcoe2M+j6FtW88hqSIUWja+PKGFEcfzZ3fjzVC3oUB+cYKpxixvZ18ohAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T11:58:49.855514Z","bundle_sha256":"a927f68ea4d0bcce1779717cc297fcb5aa791c0196eca5b084591d9454771363"}}