{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:ZYNYVUGL6FWGOGZKIK2T5TDUVD","short_pith_number":"pith:ZYNYVUGL","canonical_record":{"source":{"id":"2111.11628","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-11-23T03:20:15Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"c5d6839859f0ae0959d34c7f084ef815e9360fc9d1ee534801aff916e57a2f69","abstract_canon_sha256":"40420bd9c5e229d2491096af9a7111220270217a0d0cc82c5c4dad0cd4bb67a1"},"schema_version":"1.0"},"canonical_sha256":"ce1b8ad0cbf16c671b2a42b53ecc74a8ebc6d6f0e8b2db0cbff406cdc414f07a","source":{"kind":"arxiv","id":"2111.11628","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.11628","created_at":"2026-07-05T04:17:37Z"},{"alias_kind":"arxiv_version","alias_value":"2111.11628v2","created_at":"2026-07-05T04:17:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.11628","created_at":"2026-07-05T04:17:37Z"},{"alias_kind":"pith_short_12","alias_value":"ZYNYVUGL6FWG","created_at":"2026-07-05T04:17:37Z"},{"alias_kind":"pith_short_16","alias_value":"ZYNYVUGL6FWGOGZK","created_at":"2026-07-05T04:17:37Z"},{"alias_kind":"pith_short_8","alias_value":"ZYNYVUGL","created_at":"2026-07-05T04:17:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:ZYNYVUGL6FWGOGZKIK2T5TDUVD","target":"record","payload":{"canonical_record":{"source":{"id":"2111.11628","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-11-23T03:20:15Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"c5d6839859f0ae0959d34c7f084ef815e9360fc9d1ee534801aff916e57a2f69","abstract_canon_sha256":"40420bd9c5e229d2491096af9a7111220270217a0d0cc82c5c4dad0cd4bb67a1"},"schema_version":"1.0"},"canonical_sha256":"ce1b8ad0cbf16c671b2a42b53ecc74a8ebc6d6f0e8b2db0cbff406cdc414f07a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:17:37.720281Z","signature_b64":"uJ+gN4J/VI762q/Ag+Wmirg1HPhDTr02WrekUK/56VxifgxoQHM4YOGAgbQaMJBhFUhXsBfpUBxyLhoxU0RBDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce1b8ad0cbf16c671b2a42b53ecc74a8ebc6d6f0e8b2db0cbff406cdc414f07a","last_reissued_at":"2026-07-05T04:17:37.719785Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:17:37.719785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2111.11628","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":"2026-07-05T04:17:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q/Pyh141hsyPhmGw/iIVvoALwMwDHmKRdURRDFt6WdyzzsAG7ijVDZYbg+35DLtOynh/LHdcpTOrfB1ca7t3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T12:49:30.020933Z"},"content_sha256":"bdb5e55f3d4bcd401ea9709130be6783ce9627332db8b43b4ce120fb918c1963","schema_version":"1.0","event_id":"sha256:bdb5e55f3d4bcd401ea9709130be6783ce9627332db8b43b4ce120fb918c1963"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:ZYNYVUGL6FWGOGZKIK2T5TDUVD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$\\Delta$-MILP: Deep Space Network Scheduling via Mixed-Integer Linear Programming","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Brian Wilson, Edwin Goh, Mark Johnston, Ramtin Madani, Ryan Alimo, Thomas Claudet","submitted_at":"2021-11-23T03:20:15Z","abstract_excerpt":"This paper introduces $\\Delta$-MILP, a powerful variant of the mixed-integer linear programming (MILP) optimization framework to solve NASA's Deep Space Network (DSN) scheduling problem. This work is an extension of our original MILP framework (DOI:10.1109/ACCESS.2021.3064928) and inherits many of its constructions and strengths, including the base MILP formulation for DSN scheduling. To provide more feasible schedules with respect to the DSN requirements, $\\Delta$-MILP incorporates new sets of constraints including 1) splitting larger tracks into shorter segments and 2) preventing overlapping"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.11628","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2111.11628/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":"2026-07-05T04:17:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3DLGRigz0JV1AjhfY+FNMEzJpXe66ee+Hxp49f1Y3+RL0fohv4axVBgYkPXQnrcnh8uuJstAKZAR9anrQJr6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T12:49:30.021418Z"},"content_sha256":"03ffd357a43ffac93a6eceff3e37e9db3bff7045bde5edc065c6f3c2ebc709bd","schema_version":"1.0","event_id":"sha256:03ffd357a43ffac93a6eceff3e37e9db3bff7045bde5edc065c6f3c2ebc709bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZYNYVUGL6FWGOGZKIK2T5TDUVD/bundle.json","state_url":"https://pith.science/pith/ZYNYVUGL6FWGOGZKIK2T5TDUVD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZYNYVUGL6FWGOGZKIK2T5TDUVD/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":"2026-08-15T12:49:30Z","links":{"resolver":"https://pith.science/pith/ZYNYVUGL6FWGOGZKIK2T5TDUVD","bundle":"https://pith.science/pith/ZYNYVUGL6FWGOGZKIK2T5TDUVD/bundle.json","state":"https://pith.science/pith/ZYNYVUGL6FWGOGZKIK2T5TDUVD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZYNYVUGL6FWGOGZKIK2T5TDUVD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ZYNYVUGL6FWGOGZKIK2T5TDUVD","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":"40420bd9c5e229d2491096af9a7111220270217a0d0cc82c5c4dad0cd4bb67a1","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-11-23T03:20:15Z","title_canon_sha256":"c5d6839859f0ae0959d34c7f084ef815e9360fc9d1ee534801aff916e57a2f69"},"schema_version":"1.0","source":{"id":"2111.11628","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.11628","created_at":"2026-07-05T04:17:37Z"},{"alias_kind":"arxiv_version","alias_value":"2111.11628v2","created_at":"2026-07-05T04:17:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.11628","created_at":"2026-07-05T04:17:37Z"},{"alias_kind":"pith_short_12","alias_value":"ZYNYVUGL6FWG","created_at":"2026-07-05T04:17:37Z"},{"alias_kind":"pith_short_16","alias_value":"ZYNYVUGL6FWGOGZK","created_at":"2026-07-05T04:17:37Z"},{"alias_kind":"pith_short_8","alias_value":"ZYNYVUGL","created_at":"2026-07-05T04:17:37Z"}],"graph_snapshots":[{"event_id":"sha256:03ffd357a43ffac93a6eceff3e37e9db3bff7045bde5edc065c6f3c2ebc709bd","target":"graph","created_at":"2026-07-05T04:17:37Z","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/2111.11628/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper introduces $\\Delta$-MILP, a powerful variant of the mixed-integer linear programming (MILP) optimization framework to solve NASA's Deep Space Network (DSN) scheduling problem. This work is an extension of our original MILP framework (DOI:10.1109/ACCESS.2021.3064928) and inherits many of its constructions and strengths, including the base MILP formulation for DSN scheduling. To provide more feasible schedules with respect to the DSN requirements, $\\Delta$-MILP incorporates new sets of constraints including 1) splitting larger tracks into shorter segments and 2) preventing overlapping","authors_text":"Brian Wilson, Edwin Goh, Mark Johnston, Ramtin Madani, Ryan Alimo, Thomas Claudet","cross_cats":["cs.SY","eess.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-11-23T03:20:15Z","title":"$\\Delta$-MILP: Deep Space Network Scheduling via Mixed-Integer Linear Programming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.11628","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:bdb5e55f3d4bcd401ea9709130be6783ce9627332db8b43b4ce120fb918c1963","target":"record","created_at":"2026-07-05T04:17:37Z","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":"40420bd9c5e229d2491096af9a7111220270217a0d0cc82c5c4dad0cd4bb67a1","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-11-23T03:20:15Z","title_canon_sha256":"c5d6839859f0ae0959d34c7f084ef815e9360fc9d1ee534801aff916e57a2f69"},"schema_version":"1.0","source":{"id":"2111.11628","kind":"arxiv","version":2}},"canonical_sha256":"ce1b8ad0cbf16c671b2a42b53ecc74a8ebc6d6f0e8b2db0cbff406cdc414f07a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce1b8ad0cbf16c671b2a42b53ecc74a8ebc6d6f0e8b2db0cbff406cdc414f07a","first_computed_at":"2026-07-05T04:17:37.719785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:17:37.719785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uJ+gN4J/VI762q/Ag+Wmirg1HPhDTr02WrekUK/56VxifgxoQHM4YOGAgbQaMJBhFUhXsBfpUBxyLhoxU0RBDA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:17:37.720281Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.11628","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdb5e55f3d4bcd401ea9709130be6783ce9627332db8b43b4ce120fb918c1963","sha256:03ffd357a43ffac93a6eceff3e37e9db3bff7045bde5edc065c6f3c2ebc709bd"],"state_sha256":"0b7f9aace2f552b8f68d6772eac0e5fdef1b6ad67733a316e84f8ffb1b0a4f17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5j0nRRtslMaFZWzSUYm63Cc6LKAWeqajdzAf3ZIbPrp6w7lap6By7ta3HowHnzsKdSVmsHaD2T90tv6djQbhAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T12:49:30.026836Z","bundle_sha256":"84a036aff830f838e166f3d5dc25a01a3c59a16d194ea04bf16bdf70bdbbbe13"}}