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this limit admits a one-parameter family of product-form stationary gap distributions parametrized by a and b.","weakest_assumption":"The auxiliary 'system with pauses' agrees with the original queueing dynamics at diffusion scale and admits an exact open Jackson network representation whose stationary distributions, when taken to heavy traffic, select the product-form invariants of the reflected Atlas process."}},"verdict_id":"8e7a5eb4-ff6c-4f5a-a458-2186f1879c10"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:15f091b42a6b75699bf59daf05493c7299e98f298b383b22e150824e799769c9","target":"record","created_at":"2026-05-20T00:04:52Z","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":"f112ffdaeb92fa629061720742e3004ecfb54a258a6def316117994cf323fd4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-17T22:16:41Z","title_canon_sha256":"04c6bc8ffa385259898115f420b063b93e09fee2527ed933ea845b80f5137789"},"schema_version":"1.0","source":{"id":"2605.17677","kind":"arxiv","version":1}},"canonical_sha256":"4c540f82b93446fd871fe40ae46badaef85c5be96003f60d6a1559de85318945","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c540f82b93446fd871fe40ae46badaef85c5be96003f60d6a1559de85318945","first_computed_at":"2026-05-20T00:04:52.241729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:04:52.241729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6QJVEvj0LFndRj8au9sAgYMMH82kF73iHgr2dRc4VNa73hs+gtlz7ARL370mWjptAVsL3QfYS3+EVX5tiYnxBg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:04:52.242495Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.17677","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15f091b42a6b75699bf59daf05493c7299e98f298b383b22e150824e799769c9","sha256:fbf5c373f4cdf15ed916fbdb344ebd8cee55edcafacb9588a53c6c9b855a9b28"],"state_sha256":"4b631168c351fb8e21870f9afbb1ecfe9c1d8668c5a2cf8096039cba38b1752b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"thHqFV8Xq1q19JffTEtE70yxfAk0yGLZzQVgMUQkaoMpK7c62tGG/PodErdJcj/8LORL13Jd+8Z5D6R7RWv4DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T07:57:17.878263Z","bundle_sha256":"0a46020c81fcb4fe7fda3d30e6d93b850322cb4ea14dfd13011693f1da2e0a32"}}