{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6DIZ3LRNCFJETGJEUUIVJS6VSA","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":"45e27549079fabd713135079999fcddfcb629385856b265be4b8e35f25beb57c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PF","submitted_at":"2018-11-13T12:07:04Z","title_canon_sha256":"4b118e7a9a8ec33e6c3db090be7c58da92b9b508080c2e8244efcb0015a026f0"},"schema_version":"1.0","source":{"id":"1811.05239","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.05239","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"arxiv_version","alias_value":"1811.05239v2","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05239","created_at":"2026-05-17T23:48:22Z"},{"alias_kind":"pith_short_12","alias_value":"6DIZ3LRNCFJE","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"6DIZ3LRNCFJETGJE","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"6DIZ3LRN","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:180c11c50a56eab5dd088bd3f8a402eedae70376ca73460154962bfdb119862e","target":"graph","created_at":"2026-05-17T23:48:22Z","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"},"paper":{"abstract_excerpt":"Mean field modeling is a popular approach to assess the performance of large scale computer systems. The evolution of many mean field models is characterized by a set of ordinary differential equations that have a unique fixed point. In order to prove that this unique fixed point corresponds to the limit of the stationary measures of the finite systems, the unique fixed point must be a global attractor. While global attraction was established for various systems in case of exponential job sizes, it is often unclear whether these proof techniques can be generalized to non-exponential job sizes.","authors_text":"Benny Van Houdt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PF","submitted_at":"2018-11-13T12:07:04Z","title":"Global attraction of ODE-based mean field models with hyperexponential job sizes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05239","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:f249f4b51db6f01304960b650b7ff4b72df1e8a9d9e2f6214ee79d44aac4b88e","target":"record","created_at":"2026-05-17T23:48:22Z","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":"45e27549079fabd713135079999fcddfcb629385856b265be4b8e35f25beb57c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PF","submitted_at":"2018-11-13T12:07:04Z","title_canon_sha256":"4b118e7a9a8ec33e6c3db090be7c58da92b9b508080c2e8244efcb0015a026f0"},"schema_version":"1.0","source":{"id":"1811.05239","kind":"arxiv","version":2}},"canonical_sha256":"f0d19dae2d1152499924a51154cbd590053e7d2b4ec5b24a9094c42d06afeb86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0d19dae2d1152499924a51154cbd590053e7d2b4ec5b24a9094c42d06afeb86","first_computed_at":"2026-05-17T23:48:22.283739Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:22.283739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nxcVrydVd2j27EQVKaCH3dhvujFgEBaPuTXO0nbSIt/PvDBAvJva0NeAXh/dNfpCzX5w6pP7jhrYYG90lJSXCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:22.284169Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.05239","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f249f4b51db6f01304960b650b7ff4b72df1e8a9d9e2f6214ee79d44aac4b88e","sha256:180c11c50a56eab5dd088bd3f8a402eedae70376ca73460154962bfdb119862e"],"state_sha256":"460e6737830bb003b5683765d40e83ed5cd2fbb12e91ad5d537c12f1d4367e12"}