{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:C36IIRV5UDSO3H2IZZA572G635","short_pith_number":"pith:C36IIRV5","canonical_record":{"source":{"id":"2012.08087","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-12-15T04:54:00Z","cross_cats_sorted":[],"title_canon_sha256":"cdfcc1807daed0e2b671d0b112a05ea85ddaad355a548413c135670993ad24ff","abstract_canon_sha256":"c4d4203477940888637486a72586c2b3aca4f64d5feae8184d54835247901abe"},"schema_version":"1.0"},"canonical_sha256":"16fc8446bda0e4ed9f48ce41dfe8dedf74dda9a1a13645fae7dc989caaaf9c93","source":{"kind":"arxiv","id":"2012.08087","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.08087","created_at":"2026-07-05T03:00:29Z"},{"alias_kind":"arxiv_version","alias_value":"2012.08087v3","created_at":"2026-07-05T03:00:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.08087","created_at":"2026-07-05T03:00:29Z"},{"alias_kind":"pith_short_12","alias_value":"C36IIRV5UDSO","created_at":"2026-07-05T03:00:29Z"},{"alias_kind":"pith_short_16","alias_value":"C36IIRV5UDSO3H2I","created_at":"2026-07-05T03:00:29Z"},{"alias_kind":"pith_short_8","alias_value":"C36IIRV5","created_at":"2026-07-05T03:00:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:C36IIRV5UDSO3H2IZZA572G635","target":"record","payload":{"canonical_record":{"source":{"id":"2012.08087","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-12-15T04:54:00Z","cross_cats_sorted":[],"title_canon_sha256":"cdfcc1807daed0e2b671d0b112a05ea85ddaad355a548413c135670993ad24ff","abstract_canon_sha256":"c4d4203477940888637486a72586c2b3aca4f64d5feae8184d54835247901abe"},"schema_version":"1.0"},"canonical_sha256":"16fc8446bda0e4ed9f48ce41dfe8dedf74dda9a1a13645fae7dc989caaaf9c93","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:00:29.433567Z","signature_b64":"f+/hq3Fg06Qo27Gq/ERQbbBNDecBXoKVgfcPIdm2Pk4DTbpvzj3Yw619HSMrsiz36zvUy7gicRx4f2G5wRjmCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16fc8446bda0e4ed9f48ce41dfe8dedf74dda9a1a13645fae7dc989caaaf9c93","last_reissued_at":"2026-07-05T03:00:29.433125Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:00:29.433125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.08087","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:00:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q6WITbTv718vvJuhHHZGte/JSLdXB/8WWzO2fU6OeVP7v9a7z1JVvBWNOpsxVHHyKiImcfCDeXlwUDSuYn9RBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T16:44:56.905297Z"},"content_sha256":"5e35d8832b3fbb7d6210f0a0f99aaaa713203e4e20510a25b1e4eb3229f8d3fe","schema_version":"1.0","event_id":"sha256:5e35d8832b3fbb7d6210f0a0f99aaaa713203e4e20510a25b1e4eb3229f8d3fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:C36IIRV5UDSO3H2IZZA572G635","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Co-optimizing the Smart Grid and Electric Public Transit Bus System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Alberto J. Lamadrid, Brandon R. Augustino, Lawrence V. Snyder, Mertcan Yetkin","submitted_at":"2020-12-15T04:54:00Z","abstract_excerpt":"As climate change provides impetus for investing in smart cities, with electrified public transit systems, we consider electric public transportation buses in an urban area, which play a role in the power system operations in addition to their typical function of serving public transit demand. Our model considers a social planner, such that the transit authority and the operator of the electricity system co-optimize the power system to minimize the total operational cost of the grid, while satisfying additional transportation constraints on buses. We provide deterministic and stochastic formul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.08087","kind":"arxiv","version":3},"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/2012.08087/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":"2026-07-05T03:00:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yuK3RdFQXZGTLjLw0nUuwEOewOwVYdnOxEYV1HhqfX6//WfxHUa7b+c7m072i8kQV13LPt0vtFzY46yKumKQBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T16:44:56.905985Z"},"content_sha256":"11981952db767c6e994c3ad9980ec4ef6ccca2c9ac601fc85547eb629b9c183d","schema_version":"1.0","event_id":"sha256:11981952db767c6e994c3ad9980ec4ef6ccca2c9ac601fc85547eb629b9c183d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C36IIRV5UDSO3H2IZZA572G635/bundle.json","state_url":"https://pith.science/pith/C36IIRV5UDSO3H2IZZA572G635/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C36IIRV5UDSO3H2IZZA572G635/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":"2026-08-05T16:44:56Z","links":{"resolver":"https://pith.science/pith/C36IIRV5UDSO3H2IZZA572G635","bundle":"https://pith.science/pith/C36IIRV5UDSO3H2IZZA572G635/bundle.json","state":"https://pith.science/pith/C36IIRV5UDSO3H2IZZA572G635/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C36IIRV5UDSO3H2IZZA572G635/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:C36IIRV5UDSO3H2IZZA572G635","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":"c4d4203477940888637486a72586c2b3aca4f64d5feae8184d54835247901abe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-12-15T04:54:00Z","title_canon_sha256":"cdfcc1807daed0e2b671d0b112a05ea85ddaad355a548413c135670993ad24ff"},"schema_version":"1.0","source":{"id":"2012.08087","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.08087","created_at":"2026-07-05T03:00:29Z"},{"alias_kind":"arxiv_version","alias_value":"2012.08087v3","created_at":"2026-07-05T03:00:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.08087","created_at":"2026-07-05T03:00:29Z"},{"alias_kind":"pith_short_12","alias_value":"C36IIRV5UDSO","created_at":"2026-07-05T03:00:29Z"},{"alias_kind":"pith_short_16","alias_value":"C36IIRV5UDSO3H2I","created_at":"2026-07-05T03:00:29Z"},{"alias_kind":"pith_short_8","alias_value":"C36IIRV5","created_at":"2026-07-05T03:00:29Z"}],"graph_snapshots":[{"event_id":"sha256:11981952db767c6e994c3ad9980ec4ef6ccca2c9ac601fc85547eb629b9c183d","target":"graph","created_at":"2026-07-05T03:00:29Z","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/2012.08087/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"As climate change provides impetus for investing in smart cities, with electrified public transit systems, we consider electric public transportation buses in an urban area, which play a role in the power system operations in addition to their typical function of serving public transit demand. Our model considers a social planner, such that the transit authority and the operator of the electricity system co-optimize the power system to minimize the total operational cost of the grid, while satisfying additional transportation constraints on buses. We provide deterministic and stochastic formul","authors_text":"Alberto J. Lamadrid, Brandon R. Augustino, Lawrence V. Snyder, Mertcan Yetkin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-12-15T04:54:00Z","title":"Co-optimizing the Smart Grid and Electric Public Transit Bus System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.08087","kind":"arxiv","version":3},"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":"sha256:5e35d8832b3fbb7d6210f0a0f99aaaa713203e4e20510a25b1e4eb3229f8d3fe","target":"record","created_at":"2026-07-05T03:00:29Z","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":"c4d4203477940888637486a72586c2b3aca4f64d5feae8184d54835247901abe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-12-15T04:54:00Z","title_canon_sha256":"cdfcc1807daed0e2b671d0b112a05ea85ddaad355a548413c135670993ad24ff"},"schema_version":"1.0","source":{"id":"2012.08087","kind":"arxiv","version":3}},"canonical_sha256":"16fc8446bda0e4ed9f48ce41dfe8dedf74dda9a1a13645fae7dc989caaaf9c93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16fc8446bda0e4ed9f48ce41dfe8dedf74dda9a1a13645fae7dc989caaaf9c93","first_computed_at":"2026-07-05T03:00:29.433125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:00:29.433125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f+/hq3Fg06Qo27Gq/ERQbbBNDecBXoKVgfcPIdm2Pk4DTbpvzj3Yw619HSMrsiz36zvUy7gicRx4f2G5wRjmCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:00:29.433567Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.08087","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e35d8832b3fbb7d6210f0a0f99aaaa713203e4e20510a25b1e4eb3229f8d3fe","sha256:11981952db767c6e994c3ad9980ec4ef6ccca2c9ac601fc85547eb629b9c183d"],"state_sha256":"271216b217d7f1a70f46ae275cba2e3f7f51afee8b27c7ac90717fe9dc58faed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tk+9hSnPtXkWWXG3mblgWqwsUh+xcKtPb3Ar4OVLqPWAO8J50h7YUvCIg2pHDZRecJS06W646W/VJwgu+w3dBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T16:44:56.911386Z","bundle_sha256":"9bba083d52f306001f59dbed1d4aaef3d439e716765fd34fde1924b750946f28"}}