{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YBC4GVRLPWZY3W7GVPVROH6WH4","short_pith_number":"pith:YBC4GVRL","canonical_record":{"source":{"id":"1407.7053","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-25T20:47:23Z","cross_cats_sorted":[],"title_canon_sha256":"8142b1a9f3b829baa1b0ad3f55fde5421a5622f0f50445b2bd84fce6c6f64c4c","abstract_canon_sha256":"56d553e2bdaba25325a43f64d15a59470d75820d3f46a0b2bff249b1c617e390"},"schema_version":"1.0"},"canonical_sha256":"c045c3562b7db38ddbe6abeb171fd63f11fcc649a5e41082dc65d2bbbb7b312a","source":{"kind":"arxiv","id":"1407.7053","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7053","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7053v1","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7053","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"pith_short_12","alias_value":"YBC4GVRLPWZY","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YBC4GVRLPWZY3W7G","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YBC4GVRL","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YBC4GVRLPWZY3W7GVPVROH6WH4","target":"record","payload":{"canonical_record":{"source":{"id":"1407.7053","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-25T20:47:23Z","cross_cats_sorted":[],"title_canon_sha256":"8142b1a9f3b829baa1b0ad3f55fde5421a5622f0f50445b2bd84fce6c6f64c4c","abstract_canon_sha256":"56d553e2bdaba25325a43f64d15a59470d75820d3f46a0b2bff249b1c617e390"},"schema_version":"1.0"},"canonical_sha256":"c045c3562b7db38ddbe6abeb171fd63f11fcc649a5e41082dc65d2bbbb7b312a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:23.974918Z","signature_b64":"Ns6JB5QHI9K7XRGRxT0aTaF3X6Ze5zI3PpTVVNwKl5QNDTz6u+RzGZUHBHxcPiEQb6hmI/gVFesNbnh6gcNyDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c045c3562b7db38ddbe6abeb171fd63f11fcc649a5e41082dc65d2bbbb7b312a","last_reissued_at":"2026-05-18T02:46:23.974351Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:23.974351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.7053","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":"2026-05-18T02:46:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jAlKSz+LzipZczWGyGuABQqC3CJRocy1ctWlqpfXtkHOmZnNKLzuthBoJJZon4rQeueR0e2uFau1Jq3+l6VMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T21:25:14.300751Z"},"content_sha256":"6158ba9cf899beb47c6c09ad5366dd6f3085ddfdff75266ddc2667f9308c1b44","schema_version":"1.0","event_id":"sha256:6158ba9cf899beb47c6c09ad5366dd6f3085ddfdff75266ddc2667f9308c1b44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YBC4GVRLPWZY3W7GVPVROH6WH4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Switching Fluid Limit of a Stochastic Network Under a State-Space-Collapse Inducing Control with Chattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ohad Perry, Ward Whitt","submitted_at":"2014-07-25T20:47:23Z","abstract_excerpt":"Routing mechanisms for stochastic networks are often designed to produce state space collapse (SSC) in a heavy-traffic limit, i.e., to confine the limiting process to a lower-dimensional subset of its full state space. In a fluid limit, a control producing asymptotic SSC corresponds to an ideal sliding mode control that forces the fluid trajectories to a lower-dimensional sliding manifold. Within deterministic dynamical systems theory, it is well known that sliding-mode controls can cause the system to chatter back and forth along the sliding manifold due to delays in activation of the control"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7053","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":""},"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":"2026-05-18T02:46:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6JtknQuAQQVb197Ed4exOJZMxDw3PeCL/3UxS6p1r7AHbbKJIIp7nrrXH/SjvF1dXXOOdtY04/hqi3CV8drxCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T21:25:14.301103Z"},"content_sha256":"1d4a7f8b532b6e94833c2c6b6be268cbbe057d2284fa257f7d3228ece3701060","schema_version":"1.0","event_id":"sha256:1d4a7f8b532b6e94833c2c6b6be268cbbe057d2284fa257f7d3228ece3701060"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBC4GVRLPWZY3W7GVPVROH6WH4/bundle.json","state_url":"https://pith.science/pith/YBC4GVRLPWZY3W7GVPVROH6WH4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBC4GVRLPWZY3W7GVPVROH6WH4/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":"2026-07-02T21:25:14Z","links":{"resolver":"https://pith.science/pith/YBC4GVRLPWZY3W7GVPVROH6WH4","bundle":"https://pith.science/pith/YBC4GVRLPWZY3W7GVPVROH6WH4/bundle.json","state":"https://pith.science/pith/YBC4GVRLPWZY3W7GVPVROH6WH4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBC4GVRLPWZY3W7GVPVROH6WH4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YBC4GVRLPWZY3W7GVPVROH6WH4","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":"56d553e2bdaba25325a43f64d15a59470d75820d3f46a0b2bff249b1c617e390","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-25T20:47:23Z","title_canon_sha256":"8142b1a9f3b829baa1b0ad3f55fde5421a5622f0f50445b2bd84fce6c6f64c4c"},"schema_version":"1.0","source":{"id":"1407.7053","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7053","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7053v1","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7053","created_at":"2026-05-18T02:46:23Z"},{"alias_kind":"pith_short_12","alias_value":"YBC4GVRLPWZY","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YBC4GVRLPWZY3W7G","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YBC4GVRL","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:1d4a7f8b532b6e94833c2c6b6be268cbbe057d2284fa257f7d3228ece3701060","target":"graph","created_at":"2026-05-18T02:46:23Z","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":"Routing mechanisms for stochastic networks are often designed to produce state space collapse (SSC) in a heavy-traffic limit, i.e., to confine the limiting process to a lower-dimensional subset of its full state space. In a fluid limit, a control producing asymptotic SSC corresponds to an ideal sliding mode control that forces the fluid trajectories to a lower-dimensional sliding manifold. Within deterministic dynamical systems theory, it is well known that sliding-mode controls can cause the system to chatter back and forth along the sliding manifold due to delays in activation of the control","authors_text":"Ohad Perry, Ward Whitt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-25T20:47:23Z","title":"A Switching Fluid Limit of a Stochastic Network Under a State-Space-Collapse Inducing Control with Chattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7053","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":"sha256:6158ba9cf899beb47c6c09ad5366dd6f3085ddfdff75266ddc2667f9308c1b44","target":"record","created_at":"2026-05-18T02:46:23Z","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":"56d553e2bdaba25325a43f64d15a59470d75820d3f46a0b2bff249b1c617e390","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-25T20:47:23Z","title_canon_sha256":"8142b1a9f3b829baa1b0ad3f55fde5421a5622f0f50445b2bd84fce6c6f64c4c"},"schema_version":"1.0","source":{"id":"1407.7053","kind":"arxiv","version":1}},"canonical_sha256":"c045c3562b7db38ddbe6abeb171fd63f11fcc649a5e41082dc65d2bbbb7b312a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c045c3562b7db38ddbe6abeb171fd63f11fcc649a5e41082dc65d2bbbb7b312a","first_computed_at":"2026-05-18T02:46:23.974351Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:23.974351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ns6JB5QHI9K7XRGRxT0aTaF3X6Ze5zI3PpTVVNwKl5QNDTz6u+RzGZUHBHxcPiEQb6hmI/gVFesNbnh6gcNyDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:23.974918Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7053","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6158ba9cf899beb47c6c09ad5366dd6f3085ddfdff75266ddc2667f9308c1b44","sha256:1d4a7f8b532b6e94833c2c6b6be268cbbe057d2284fa257f7d3228ece3701060"],"state_sha256":"4bb5f8c18d45e63f2e8aa01e42517960882d51234878b11753813a28039c0772"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z6RtrGyA6BPQY3CWY/YKYiroemMPl8NiGyH/QGeMcebqHJcrc6OZPZZxkfgWR96SSfTPMb9n7/4tinT9iCWXBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T21:25:14.303188Z","bundle_sha256":"b3144fd940a1ff8c9e6356e8653ee6bd58964bb7586ce08e55621b36f0a304e0"}}