{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:XW2DIBBSKOLOUPXMKX7FT4ZVTF","short_pith_number":"pith:XW2DIBBS","canonical_record":{"source":{"id":"2111.10270","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2021-11-19T15:20:10Z","cross_cats_sorted":["cs.CV","cs.DC","cs.GT"],"title_canon_sha256":"c49e84e5fc1399d06061cbcd14f367e2dfb976edbf31a7aab5582541c2344526","abstract_canon_sha256":"ecfe538a537715d235689d746a9d24cdbb30de24792701b0947316f290d4cba0"},"schema_version":"1.0"},"canonical_sha256":"bdb43404325396ea3eec55fe59f335994660369244fe179c08e40114f0b7913f","source":{"kind":"arxiv","id":"2111.10270","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.10270","created_at":"2026-07-05T04:15:50Z"},{"alias_kind":"arxiv_version","alias_value":"2111.10270v3","created_at":"2026-07-05T04:15:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.10270","created_at":"2026-07-05T04:15:50Z"},{"alias_kind":"pith_short_12","alias_value":"XW2DIBBSKOLO","created_at":"2026-07-05T04:15:50Z"},{"alias_kind":"pith_short_16","alias_value":"XW2DIBBSKOLOUPXM","created_at":"2026-07-05T04:15:50Z"},{"alias_kind":"pith_short_8","alias_value":"XW2DIBBS","created_at":"2026-07-05T04:15:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:XW2DIBBSKOLOUPXMKX7FT4ZVTF","target":"record","payload":{"canonical_record":{"source":{"id":"2111.10270","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2021-11-19T15:20:10Z","cross_cats_sorted":["cs.CV","cs.DC","cs.GT"],"title_canon_sha256":"c49e84e5fc1399d06061cbcd14f367e2dfb976edbf31a7aab5582541c2344526","abstract_canon_sha256":"ecfe538a537715d235689d746a9d24cdbb30de24792701b0947316f290d4cba0"},"schema_version":"1.0"},"canonical_sha256":"bdb43404325396ea3eec55fe59f335994660369244fe179c08e40114f0b7913f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:15:50.444547Z","signature_b64":"3lyllDNtXnlWjsBsv2EAM7BFjmiUT8sAD69oyVFsTxUEmY2GJSwcIpIyQxxXdJUR94pP/Npbdlrpd73/8uwoBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdb43404325396ea3eec55fe59f335994660369244fe179c08e40114f0b7913f","last_reissued_at":"2026-07-05T04:15:50.443985Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:15:50.443985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2111.10270","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":"2026-07-05T04:15:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TSB9kILo6pMN3n/vfSIHjsHg3Fi8QnxLW/d6DUCK3/rIIW86aw9pghGI65cZGhN+X6I2euIYNJm7iOFQfW49Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T00:52:57.161883Z"},"content_sha256":"a63baae9cc88754b2dbe3d81c5bf9b319fe79c2b82e009ea2717af8224b5b9d0","schema_version":"1.0","event_id":"sha256:a63baae9cc88754b2dbe3d81c5bf9b319fe79c2b82e009ea2717af8224b5b9d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:XW2DIBBSKOLOUPXMKX7FT4ZVTF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"FastDOG: Fast Discrete Optimization on GPU","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","cs.DC","cs.GT"],"primary_cat":"math.OC","authors_text":"Ahmed Abbas, Paul Swoboda","submitted_at":"2021-11-19T15:20:10Z","abstract_excerpt":"We present a massively parallel Lagrange decomposition method for solving 0--1 integer linear programs occurring in structured prediction. We propose a new iterative update scheme for solving the Lagrangean dual and a perturbation technique for decoding primal solutions. For representing subproblems we follow Lange et al. (2021) and use binary decision diagrams (BDDs). Our primal and dual algorithms require little synchronization between subproblems and optimization over BDDs needs only elementary operations without complicated control flow. This allows us to exploit the parallelism offered by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.10270","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/2111.10270/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":"2026-07-05T04:15:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WpdXiawcyCn0h5sGkMk/AAuFu0YI+wT15jc4Q/FjmuuzO4noOgNGIMquWER8M3DITVNJOJYZ8RcFmiOo18UWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T00:52:57.162588Z"},"content_sha256":"dbd11232a989a17025a18c4adf758eed2accd07e39ac70c87db9b23aba33d1c7","schema_version":"1.0","event_id":"sha256:dbd11232a989a17025a18c4adf758eed2accd07e39ac70c87db9b23aba33d1c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XW2DIBBSKOLOUPXMKX7FT4ZVTF/bundle.json","state_url":"https://pith.science/pith/XW2DIBBSKOLOUPXMKX7FT4ZVTF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XW2DIBBSKOLOUPXMKX7FT4ZVTF/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":"2026-07-07T00:52:57Z","links":{"resolver":"https://pith.science/pith/XW2DIBBSKOLOUPXMKX7FT4ZVTF","bundle":"https://pith.science/pith/XW2DIBBSKOLOUPXMKX7FT4ZVTF/bundle.json","state":"https://pith.science/pith/XW2DIBBSKOLOUPXMKX7FT4ZVTF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XW2DIBBSKOLOUPXMKX7FT4ZVTF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:XW2DIBBSKOLOUPXMKX7FT4ZVTF","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":"ecfe538a537715d235689d746a9d24cdbb30de24792701b0947316f290d4cba0","cross_cats_sorted":["cs.CV","cs.DC","cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2021-11-19T15:20:10Z","title_canon_sha256":"c49e84e5fc1399d06061cbcd14f367e2dfb976edbf31a7aab5582541c2344526"},"schema_version":"1.0","source":{"id":"2111.10270","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.10270","created_at":"2026-07-05T04:15:50Z"},{"alias_kind":"arxiv_version","alias_value":"2111.10270v3","created_at":"2026-07-05T04:15:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.10270","created_at":"2026-07-05T04:15:50Z"},{"alias_kind":"pith_short_12","alias_value":"XW2DIBBSKOLO","created_at":"2026-07-05T04:15:50Z"},{"alias_kind":"pith_short_16","alias_value":"XW2DIBBSKOLOUPXM","created_at":"2026-07-05T04:15:50Z"},{"alias_kind":"pith_short_8","alias_value":"XW2DIBBS","created_at":"2026-07-05T04:15:50Z"}],"graph_snapshots":[{"event_id":"sha256:dbd11232a989a17025a18c4adf758eed2accd07e39ac70c87db9b23aba33d1c7","target":"graph","created_at":"2026-07-05T04:15:50Z","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/2111.10270/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a massively parallel Lagrange decomposition method for solving 0--1 integer linear programs occurring in structured prediction. We propose a new iterative update scheme for solving the Lagrangean dual and a perturbation technique for decoding primal solutions. For representing subproblems we follow Lange et al. (2021) and use binary decision diagrams (BDDs). Our primal and dual algorithms require little synchronization between subproblems and optimization over BDDs needs only elementary operations without complicated control flow. This allows us to exploit the parallelism offered by","authors_text":"Ahmed Abbas, Paul Swoboda","cross_cats":["cs.CV","cs.DC","cs.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2021-11-19T15:20:10Z","title":"FastDOG: Fast Discrete Optimization on GPU"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.10270","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:a63baae9cc88754b2dbe3d81c5bf9b319fe79c2b82e009ea2717af8224b5b9d0","target":"record","created_at":"2026-07-05T04:15:50Z","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":"ecfe538a537715d235689d746a9d24cdbb30de24792701b0947316f290d4cba0","cross_cats_sorted":["cs.CV","cs.DC","cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2021-11-19T15:20:10Z","title_canon_sha256":"c49e84e5fc1399d06061cbcd14f367e2dfb976edbf31a7aab5582541c2344526"},"schema_version":"1.0","source":{"id":"2111.10270","kind":"arxiv","version":3}},"canonical_sha256":"bdb43404325396ea3eec55fe59f335994660369244fe179c08e40114f0b7913f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdb43404325396ea3eec55fe59f335994660369244fe179c08e40114f0b7913f","first_computed_at":"2026-07-05T04:15:50.443985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:15:50.443985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3lyllDNtXnlWjsBsv2EAM7BFjmiUT8sAD69oyVFsTxUEmY2GJSwcIpIyQxxXdJUR94pP/Npbdlrpd73/8uwoBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:15:50.444547Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.10270","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a63baae9cc88754b2dbe3d81c5bf9b319fe79c2b82e009ea2717af8224b5b9d0","sha256:dbd11232a989a17025a18c4adf758eed2accd07e39ac70c87db9b23aba33d1c7"],"state_sha256":"a579c103fcc10751afaf256f2f3128293cb0a65cda564aa251f04f6f576de30e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pUIiFBmY2+6u60ntGdwzta/uj+qFCZb0qs7q5MOws/JZuDzJPkup8u8JUXAB34rV0ijWKido2Ep43l6waS0uAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T00:52:57.166063Z","bundle_sha256":"a50dca108e684ab0fa9f4da87d9a2a4636910d1530882639a5a1d7f54684f15b"}}