{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:JFWHC5YXRB465PGJ2LD62IDG7Z","short_pith_number":"pith:JFWHC5YX","canonical_record":{"source":{"id":"1912.02895","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-12-05T21:44:23Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"7d27fa56d48e9e9b7ba6c04d437a983fc375d2128b2fe433ed6feccd28030905","abstract_canon_sha256":"3724f463d7bec6287a49e57c309502752bab440e24149544c387d015196dc145"},"schema_version":"1.0"},"canonical_sha256":"496c7177178879eebcc9d2c7ed2066fe5eba34b318812e2cd5fa2ecc26a44e3f","source":{"kind":"arxiv","id":"1912.02895","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.02895","created_at":"2026-07-05T00:24:19Z"},{"alias_kind":"arxiv_version","alias_value":"1912.02895v1","created_at":"2026-07-05T00:24:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.02895","created_at":"2026-07-05T00:24:19Z"},{"alias_kind":"pith_short_12","alias_value":"JFWHC5YXRB46","created_at":"2026-07-05T00:24:19Z"},{"alias_kind":"pith_short_16","alias_value":"JFWHC5YXRB465PGJ","created_at":"2026-07-05T00:24:19Z"},{"alias_kind":"pith_short_8","alias_value":"JFWHC5YX","created_at":"2026-07-05T00:24:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:JFWHC5YXRB465PGJ2LD62IDG7Z","target":"record","payload":{"canonical_record":{"source":{"id":"1912.02895","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-12-05T21:44:23Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"7d27fa56d48e9e9b7ba6c04d437a983fc375d2128b2fe433ed6feccd28030905","abstract_canon_sha256":"3724f463d7bec6287a49e57c309502752bab440e24149544c387d015196dc145"},"schema_version":"1.0"},"canonical_sha256":"496c7177178879eebcc9d2c7ed2066fe5eba34b318812e2cd5fa2ecc26a44e3f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:24:19.236538Z","signature_b64":"B26+83NIqQcZQ3HBKZOdxe57uXuu2ASKaNd6GUT9cg67K9WNttbWtDq0/P675QPdN2EzAzDVe0LbuaOGffUFAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"496c7177178879eebcc9d2c7ed2066fe5eba34b318812e2cd5fa2ecc26a44e3f","last_reissued_at":"2026-07-05T00:24:19.236139Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:24:19.236139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1912.02895","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":"2026-07-05T00:24:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FLgd6tECOQipzzzzyyCQAhFOny2D711n5a7dM4Uanfhms49JhJ7EgD6ve0jZROm6exbw3PK1fm5nfCsTtr5jDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T15:47:47.625438Z"},"content_sha256":"a8f86e18797c7c51847674026afb0b9eb5dff64375437531909fb48a19517abc","schema_version":"1.0","event_id":"sha256:a8f86e18797c7c51847674026afb0b9eb5dff64375437531909fb48a19517abc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:JFWHC5YXRB465PGJ2LD62IDG7Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Control for Scheduling and Pricing Intra-day Natural Gas Transport on Pipeline Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.OC","authors_text":"Aleksandr Beylin, Aleksandr M. Rudkevich, Anatoly Zlotnik, Kaarthik Sundar, Xindi Li","submitted_at":"2019-12-05T21:44:23Z","abstract_excerpt":"We formulate an economic optimal control problem for transport of natural gas over a large-scale transmission pipeline network under transient flow conditions. The objective is to maximize economic welfare for users of the pipeline system, who provide time-dependent price and quantity bids to purchase or supply gas at metered locations on a system with time-varying injections, withdrawals, and control actions of compressors and regulators. Our formulation ensures that pipeline hydraulic limitations, compressor station constraints, operational factors, and pre-existing contracts for gas transpo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.02895","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/1912.02895/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":"2026-07-05T00:24:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q9QzSGFPRpxyCjxr7Cp47xo6eQnNFuMvk6hFGAbwn+pXvjVeZ9dLY5EsCWoXRLILQpAsqGhyRSTHHSW344DDCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T15:47:47.625825Z"},"content_sha256":"a074af9ade4242772f0d8e458b1c3395bb073c35cad985f50f92a50a4f9c4a04","schema_version":"1.0","event_id":"sha256:a074af9ade4242772f0d8e458b1c3395bb073c35cad985f50f92a50a4f9c4a04"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JFWHC5YXRB465PGJ2LD62IDG7Z/bundle.json","state_url":"https://pith.science/pith/JFWHC5YXRB465PGJ2LD62IDG7Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JFWHC5YXRB465PGJ2LD62IDG7Z/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":"2026-07-07T15:47:47Z","links":{"resolver":"https://pith.science/pith/JFWHC5YXRB465PGJ2LD62IDG7Z","bundle":"https://pith.science/pith/JFWHC5YXRB465PGJ2LD62IDG7Z/bundle.json","state":"https://pith.science/pith/JFWHC5YXRB465PGJ2LD62IDG7Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JFWHC5YXRB465PGJ2LD62IDG7Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JFWHC5YXRB465PGJ2LD62IDG7Z","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":"3724f463d7bec6287a49e57c309502752bab440e24149544c387d015196dc145","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-12-05T21:44:23Z","title_canon_sha256":"7d27fa56d48e9e9b7ba6c04d437a983fc375d2128b2fe433ed6feccd28030905"},"schema_version":"1.0","source":{"id":"1912.02895","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.02895","created_at":"2026-07-05T00:24:19Z"},{"alias_kind":"arxiv_version","alias_value":"1912.02895v1","created_at":"2026-07-05T00:24:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.02895","created_at":"2026-07-05T00:24:19Z"},{"alias_kind":"pith_short_12","alias_value":"JFWHC5YXRB46","created_at":"2026-07-05T00:24:19Z"},{"alias_kind":"pith_short_16","alias_value":"JFWHC5YXRB465PGJ","created_at":"2026-07-05T00:24:19Z"},{"alias_kind":"pith_short_8","alias_value":"JFWHC5YX","created_at":"2026-07-05T00:24:19Z"}],"graph_snapshots":[{"event_id":"sha256:a074af9ade4242772f0d8e458b1c3395bb073c35cad985f50f92a50a4f9c4a04","target":"graph","created_at":"2026-07-05T00:24:19Z","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/1912.02895/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate an economic optimal control problem for transport of natural gas over a large-scale transmission pipeline network under transient flow conditions. The objective is to maximize economic welfare for users of the pipeline system, who provide time-dependent price and quantity bids to purchase or supply gas at metered locations on a system with time-varying injections, withdrawals, and control actions of compressors and regulators. Our formulation ensures that pipeline hydraulic limitations, compressor station constraints, operational factors, and pre-existing contracts for gas transpo","authors_text":"Aleksandr Beylin, Aleksandr M. Rudkevich, Anatoly Zlotnik, Kaarthik Sundar, Xindi Li","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-12-05T21:44:23Z","title":"Optimal Control for Scheduling and Pricing Intra-day Natural Gas Transport on Pipeline Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.02895","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:a8f86e18797c7c51847674026afb0b9eb5dff64375437531909fb48a19517abc","target":"record","created_at":"2026-07-05T00:24:19Z","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":"3724f463d7bec6287a49e57c309502752bab440e24149544c387d015196dc145","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-12-05T21:44:23Z","title_canon_sha256":"7d27fa56d48e9e9b7ba6c04d437a983fc375d2128b2fe433ed6feccd28030905"},"schema_version":"1.0","source":{"id":"1912.02895","kind":"arxiv","version":1}},"canonical_sha256":"496c7177178879eebcc9d2c7ed2066fe5eba34b318812e2cd5fa2ecc26a44e3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"496c7177178879eebcc9d2c7ed2066fe5eba34b318812e2cd5fa2ecc26a44e3f","first_computed_at":"2026-07-05T00:24:19.236139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:24:19.236139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B26+83NIqQcZQ3HBKZOdxe57uXuu2ASKaNd6GUT9cg67K9WNttbWtDq0/P675QPdN2EzAzDVe0LbuaOGffUFAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:24:19.236538Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.02895","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8f86e18797c7c51847674026afb0b9eb5dff64375437531909fb48a19517abc","sha256:a074af9ade4242772f0d8e458b1c3395bb073c35cad985f50f92a50a4f9c4a04"],"state_sha256":"4b74a02fbac0c1a970d5c824ca99748bc4e5312b588a6f458a4c20f6de6f3e47"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QeDrJHseRwTIikipZHTCa5+P75FxfxlUp0SJ3gmYlYdJRKHwrBcCPM7bZYXshuDf8wxbTnYXP4k2LqoR288RAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T15:47:47.627788Z","bundle_sha256":"ca0de49c2f18f09e9341fcacfd53cbfa5fdc0e45e1b811c066d47ed14bead36d"}}