{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:KSZ725IRHAEE7ZNO6GVGQ6LH3O","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":"5345120e6af53dfcd210e1631d768130a73f4873dd90c4d52f928b53e4fa964b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2022-01-25T17:27:22Z","title_canon_sha256":"c8edacb1b8e1e976d77f32226a640e1739f0e2ad72d5ec4e81cad379ad4cd3d1"},"schema_version":"1.0","source":{"id":"2201.10485","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.10485","created_at":"2026-07-05T05:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"2201.10485v3","created_at":"2026-07-05T05:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.10485","created_at":"2026-07-05T05:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"KSZ725IRHAEE","created_at":"2026-07-05T05:38:07Z"},{"alias_kind":"pith_short_16","alias_value":"KSZ725IRHAEE7ZNO","created_at":"2026-07-05T05:38:07Z"},{"alias_kind":"pith_short_8","alias_value":"KSZ725IR","created_at":"2026-07-05T05:38:07Z"}],"graph_snapshots":[{"event_id":"sha256:051d5d0b26d109eae0cae25979bcfec3c941da174938c5e1caf2b9210e25ea2b","target":"graph","created_at":"2026-07-05T05:38:07Z","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/2201.10485/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce Concurrent NetKAT (CNetKAT), an extension of NetKAT with operators for specifying and reasoning about concurrency in scenarios where multiple packets interact through state. We provide a model of the language based on partially-ordered multisets (pomsets), which are a well-established mathematical structure for defining the denotational semantics of concurrent languages. We provide a sound and complete axiomatization of this model, and we illustrate the use of CNetKAT through examples. More generally, CNetKAT can be understood as an algebraic framework for reasoning about programs","authors_text":"Alexandra Silva, Dexter Kozen, Jana Wagemaker, Jurriaan Rot, Nate Foster, Tobias Kapp\\'e","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2022-01-25T17:27:22Z","title":"Concurrent NetKAT: Modeling and analyzing stateful, concurrent networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.10485","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":"sha256:906b235a392bf6619326db3da31abe90260b825234266bb4faf5c710b0103667","target":"record","created_at":"2026-07-05T05:38:07Z","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":"5345120e6af53dfcd210e1631d768130a73f4873dd90c4d52f928b53e4fa964b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2022-01-25T17:27:22Z","title_canon_sha256":"c8edacb1b8e1e976d77f32226a640e1739f0e2ad72d5ec4e81cad379ad4cd3d1"},"schema_version":"1.0","source":{"id":"2201.10485","kind":"arxiv","version":3}},"canonical_sha256":"54b3fd751138084fe5aef1aa687967dbb0ecf5af53fb314987f3bf3e023713d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54b3fd751138084fe5aef1aa687967dbb0ecf5af53fb314987f3bf3e023713d0","first_computed_at":"2026-07-05T05:38:07.868305Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:38:07.868305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sflRZu2GmHWREdvziJRvnkwpg4NgbKu4d2YSuA6YX/vb6TY4bKRQSs2ZI8y/7j+GubVMg1GR9kyZl9pzY1VQDA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:38:07.868791Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.10485","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:906b235a392bf6619326db3da31abe90260b825234266bb4faf5c710b0103667","sha256:051d5d0b26d109eae0cae25979bcfec3c941da174938c5e1caf2b9210e25ea2b"],"state_sha256":"a4b192cd8d114a1eba793759e5e7639682bcf58380db72ee7e81746b7166f4cc"}