{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:NO6XC46K54Q6CJ2DGNC7VKLVE7","short_pith_number":"pith:NO6XC46K","canonical_record":{"source":{"id":"2503.01931","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-03-03T03:06:56Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"67e10f28b091635762b8d59818a6ad904b266bed8938aeb5199850676edb3ee7","abstract_canon_sha256":"16ffaf528d5b982d847b515912613a7429d537a7a3e3cf4ccb6d8f097de41438"},"schema_version":"1.0"},"canonical_sha256":"6bbd7173caef21e127433345faa97527e08858867375713fc038c311607a40f5","source":{"kind":"arxiv","id":"2503.01931","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.01931","created_at":"2026-07-05T10:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"2503.01931v1","created_at":"2026-07-05T10:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.01931","created_at":"2026-07-05T10:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"NO6XC46K54Q6","created_at":"2026-07-05T10:23:32Z"},{"alias_kind":"pith_short_16","alias_value":"NO6XC46K54Q6CJ2D","created_at":"2026-07-05T10:23:32Z"},{"alias_kind":"pith_short_8","alias_value":"NO6XC46K","created_at":"2026-07-05T10:23:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:NO6XC46K54Q6CJ2DGNC7VKLVE7","target":"record","payload":{"canonical_record":{"source":{"id":"2503.01931","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-03-03T03:06:56Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"67e10f28b091635762b8d59818a6ad904b266bed8938aeb5199850676edb3ee7","abstract_canon_sha256":"16ffaf528d5b982d847b515912613a7429d537a7a3e3cf4ccb6d8f097de41438"},"schema_version":"1.0"},"canonical_sha256":"6bbd7173caef21e127433345faa97527e08858867375713fc038c311607a40f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:23:32.694507Z","signature_b64":"yM3aPlfj8lSRD5hkxtvu5cy5y8UQp3HIrJWsWfOCg0t4IzlZ4eyQqBcK5Ym6oTl3q4jI1y+LRkehIdWXrnywCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bbd7173caef21e127433345faa97527e08858867375713fc038c311607a40f5","last_reissued_at":"2026-07-05T10:23:32.693451Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:23:32.693451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.01931","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":"2026-07-05T10:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TnxCX5ySwM+mKRoM4j1L8VkSy0UwUlURwfcXLVndJmarSQbPwGmFep9HP755GC7sJ+VcQO1OT5XHd9g188rGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:10:58.613347Z"},"content_sha256":"f103a9a8b15b0854960d62e15ea641a38343da9239d61c0a2e9dfa87ad03b912","schema_version":"1.0","event_id":"sha256:f103a9a8b15b0854960d62e15ea641a38343da9239d61c0a2e9dfa87ad03b912"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:NO6XC46K54Q6CJ2DGNC7VKLVE7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adversarial Generative Flow Network for Solving Vehicle Routing Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Jingfeng Yang, Ni Zhang, Xu Chi, Zhiguang Cao","submitted_at":"2025-03-03T03:06:56Z","abstract_excerpt":"Recent research into solving vehicle routing problems (VRPs) has gained significant traction, particularly through the application of deep (reinforcement) learning for end-to-end solution construction. However, many current construction-based neural solvers predominantly utilize Transformer architectures, which can face scalability challenges and struggle to produce diverse solutions. To address these limitations, we introduce a novel framework beyond Transformer-based approaches, i.e., Adversarial Generative Flow Networks (AGFN). This framework integrates the generative flow network (GFlowNet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.01931","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/2503.01931/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":"2026-07-05T10:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4aTWP+RV4aGMI0COeC7mXKqxZShi4GLuI4yqv3Kmy/9Jdo+RKqdzPiUrC+JhsWfbR7UFsXNsrgU7MHWxYmKsBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:10:58.613914Z"},"content_sha256":"748b6c837e4a0d2300d11a4791429c99ccd54b0f473bbee80301a68e435a5e06","schema_version":"1.0","event_id":"sha256:748b6c837e4a0d2300d11a4791429c99ccd54b0f473bbee80301a68e435a5e06"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NO6XC46K54Q6CJ2DGNC7VKLVE7/bundle.json","state_url":"https://pith.science/pith/NO6XC46K54Q6CJ2DGNC7VKLVE7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NO6XC46K54Q6CJ2DGNC7VKLVE7/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":"2026-08-18T01:10:58Z","links":{"resolver":"https://pith.science/pith/NO6XC46K54Q6CJ2DGNC7VKLVE7","bundle":"https://pith.science/pith/NO6XC46K54Q6CJ2DGNC7VKLVE7/bundle.json","state":"https://pith.science/pith/NO6XC46K54Q6CJ2DGNC7VKLVE7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NO6XC46K54Q6CJ2DGNC7VKLVE7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NO6XC46K54Q6CJ2DGNC7VKLVE7","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":"16ffaf528d5b982d847b515912613a7429d537a7a3e3cf4ccb6d8f097de41438","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-03-03T03:06:56Z","title_canon_sha256":"67e10f28b091635762b8d59818a6ad904b266bed8938aeb5199850676edb3ee7"},"schema_version":"1.0","source":{"id":"2503.01931","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.01931","created_at":"2026-07-05T10:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"2503.01931v1","created_at":"2026-07-05T10:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.01931","created_at":"2026-07-05T10:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"NO6XC46K54Q6","created_at":"2026-07-05T10:23:32Z"},{"alias_kind":"pith_short_16","alias_value":"NO6XC46K54Q6CJ2D","created_at":"2026-07-05T10:23:32Z"},{"alias_kind":"pith_short_8","alias_value":"NO6XC46K","created_at":"2026-07-05T10:23:32Z"}],"graph_snapshots":[{"event_id":"sha256:748b6c837e4a0d2300d11a4791429c99ccd54b0f473bbee80301a68e435a5e06","target":"graph","created_at":"2026-07-05T10:23:32Z","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/2503.01931/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent research into solving vehicle routing problems (VRPs) has gained significant traction, particularly through the application of deep (reinforcement) learning for end-to-end solution construction. However, many current construction-based neural solvers predominantly utilize Transformer architectures, which can face scalability challenges and struggle to produce diverse solutions. To address these limitations, we introduce a novel framework beyond Transformer-based approaches, i.e., Adversarial Generative Flow Networks (AGFN). This framework integrates the generative flow network (GFlowNet","authors_text":"Jingfeng Yang, Ni Zhang, Xu Chi, Zhiguang Cao","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-03-03T03:06:56Z","title":"Adversarial Generative Flow Network for Solving Vehicle Routing Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.01931","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:f103a9a8b15b0854960d62e15ea641a38343da9239d61c0a2e9dfa87ad03b912","target":"record","created_at":"2026-07-05T10:23:32Z","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":"16ffaf528d5b982d847b515912613a7429d537a7a3e3cf4ccb6d8f097de41438","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-03-03T03:06:56Z","title_canon_sha256":"67e10f28b091635762b8d59818a6ad904b266bed8938aeb5199850676edb3ee7"},"schema_version":"1.0","source":{"id":"2503.01931","kind":"arxiv","version":1}},"canonical_sha256":"6bbd7173caef21e127433345faa97527e08858867375713fc038c311607a40f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bbd7173caef21e127433345faa97527e08858867375713fc038c311607a40f5","first_computed_at":"2026-07-05T10:23:32.693451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:23:32.693451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yM3aPlfj8lSRD5hkxtvu5cy5y8UQp3HIrJWsWfOCg0t4IzlZ4eyQqBcK5Ym6oTl3q4jI1y+LRkehIdWXrnywCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:23:32.694507Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.01931","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f103a9a8b15b0854960d62e15ea641a38343da9239d61c0a2e9dfa87ad03b912","sha256:748b6c837e4a0d2300d11a4791429c99ccd54b0f473bbee80301a68e435a5e06"],"state_sha256":"b957b08aa52985a90f774203d7badab07d47e2950e696ad515e9194f63dccf1a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4ka5rnzej1KMLsuk2zKtDt5uqGRQakFLQfbyaowdSHzIdVk3tyO6Jz9Z3Ki0jI3twT45DxrYPTF400xHpXZ0Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T01:10:58.616480Z","bundle_sha256":"8081079957017c09d9c86234d2d786920fdbfa34874d2d581a2f264a60d935d0"}}