{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FMKOCN2DONFJTTXHZOTBHJOARD","short_pith_number":"pith:FMKOCN2D","canonical_record":{"source":{"id":"1404.2725","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-04-10T08:15:25Z","cross_cats_sorted":["cs.NI","math.OC","math.PR"],"title_canon_sha256":"d1fbf8ef4def575e2b4c08356198ac8ca4759361adcd4196a07ba7e4d6f439e6","abstract_canon_sha256":"b1cefa5b719da073757d792470dc0cd23f2821accb099a97a4652aec113ad1ce"},"schema_version":"1.0"},"canonical_sha256":"2b14e13743734a99cee7cba613a5c088c596e30ffbd52e67172840c8c988c6bd","source":{"kind":"arxiv","id":"1404.2725","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2725","created_at":"2026-05-18T02:54:28Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2725v1","created_at":"2026-05-18T02:54:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2725","created_at":"2026-05-18T02:54:28Z"},{"alias_kind":"pith_short_12","alias_value":"FMKOCN2DONFJ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FMKOCN2DONFJTTXH","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FMKOCN2D","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FMKOCN2DONFJTTXHZOTBHJOARD","target":"record","payload":{"canonical_record":{"source":{"id":"1404.2725","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-04-10T08:15:25Z","cross_cats_sorted":["cs.NI","math.OC","math.PR"],"title_canon_sha256":"d1fbf8ef4def575e2b4c08356198ac8ca4759361adcd4196a07ba7e4d6f439e6","abstract_canon_sha256":"b1cefa5b719da073757d792470dc0cd23f2821accb099a97a4652aec113ad1ce"},"schema_version":"1.0"},"canonical_sha256":"2b14e13743734a99cee7cba613a5c088c596e30ffbd52e67172840c8c988c6bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:28.680136Z","signature_b64":"RwUedPSDgjAgG7qo9WA1eJfFxLCNeT7Jsbkhx4HhzwzV+AOB2fsirKGHu9ApW6NEyvSzFpA/K+7f9R+HZqOgCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b14e13743734a99cee7cba613a5c088c596e30ffbd52e67172840c8c988c6bd","last_reissued_at":"2026-05-18T02:54:28.679406Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:28.679406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.2725","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":"2026-05-18T02:54:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pKaGWy9e2rRmOic6BqDEsdPsK3EqmZ8ZIC2qCkCq5Vc+W09SEo2XXrYkcQmwxMrKQnqN36xLSLKDS5dAvW6UDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:22:17.585304Z"},"content_sha256":"9613a5a466508b308156f0bb54a010aac4c87bcb2d56ad1609cc61b4d8107836","schema_version":"1.0","event_id":"sha256:9613a5a466508b308156f0bb54a010aac4c87bcb2d56ad1609cc61b4d8107836"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FMKOCN2DONFJTTXHZOTBHJOARD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Concave Switching in Single and Multihop Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI","math.OC","math.PR"],"primary_cat":"cs.SY","authors_text":"Neil Walton","submitted_at":"2014-04-10T08:15:25Z","abstract_excerpt":"Switched queueing networks model wireless networks, input queued switches and numerous other networked communications systems. For single-hop networks, we consider a {($\\alpha,g$)-switch policy} which combines the MaxWeight policies with bandwidth sharing networks -- a further well studied model of Internet congestion. We prove the maximum stability property for this class of randomized policies. Thus these policies have the same first order behavior as the MaxWeight policies. However, for multihop networks some of these generalized polices address a number of critical weakness of the MaxWeigh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2725","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":"2026-05-18T02:54:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HS4ZLPfRv+BgAoAzVr1Q1hEXjQJp/KZDEbForGOapAaeN4UkDhc+Nat3K+ZQfrt/uURxrIOd4Ke9YSXRjORlCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:22:17.586011Z"},"content_sha256":"900d114e2dd09bbf6d436d7ef93265d1d6f2aa3e362376c5c60e86f64a53c117","schema_version":"1.0","event_id":"sha256:900d114e2dd09bbf6d436d7ef93265d1d6f2aa3e362376c5c60e86f64a53c117"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FMKOCN2DONFJTTXHZOTBHJOARD/bundle.json","state_url":"https://pith.science/pith/FMKOCN2DONFJTTXHZOTBHJOARD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FMKOCN2DONFJTTXHZOTBHJOARD/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":"2026-06-06T16:22:17Z","links":{"resolver":"https://pith.science/pith/FMKOCN2DONFJTTXHZOTBHJOARD","bundle":"https://pith.science/pith/FMKOCN2DONFJTTXHZOTBHJOARD/bundle.json","state":"https://pith.science/pith/FMKOCN2DONFJTTXHZOTBHJOARD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FMKOCN2DONFJTTXHZOTBHJOARD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FMKOCN2DONFJTTXHZOTBHJOARD","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":"b1cefa5b719da073757d792470dc0cd23f2821accb099a97a4652aec113ad1ce","cross_cats_sorted":["cs.NI","math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-04-10T08:15:25Z","title_canon_sha256":"d1fbf8ef4def575e2b4c08356198ac8ca4759361adcd4196a07ba7e4d6f439e6"},"schema_version":"1.0","source":{"id":"1404.2725","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2725","created_at":"2026-05-18T02:54:28Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2725v1","created_at":"2026-05-18T02:54:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2725","created_at":"2026-05-18T02:54:28Z"},{"alias_kind":"pith_short_12","alias_value":"FMKOCN2DONFJ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FMKOCN2DONFJTTXH","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FMKOCN2D","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:900d114e2dd09bbf6d436d7ef93265d1d6f2aa3e362376c5c60e86f64a53c117","target":"graph","created_at":"2026-05-18T02:54:28Z","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":"Switched queueing networks model wireless networks, input queued switches and numerous other networked communications systems. For single-hop networks, we consider a {($\\alpha,g$)-switch policy} which combines the MaxWeight policies with bandwidth sharing networks -- a further well studied model of Internet congestion. We prove the maximum stability property for this class of randomized policies. Thus these policies have the same first order behavior as the MaxWeight policies. However, for multihop networks some of these generalized polices address a number of critical weakness of the MaxWeigh","authors_text":"Neil Walton","cross_cats":["cs.NI","math.OC","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-04-10T08:15:25Z","title":"Concave Switching in Single and Multihop Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2725","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":"sha256:9613a5a466508b308156f0bb54a010aac4c87bcb2d56ad1609cc61b4d8107836","target":"record","created_at":"2026-05-18T02:54:28Z","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":"b1cefa5b719da073757d792470dc0cd23f2821accb099a97a4652aec113ad1ce","cross_cats_sorted":["cs.NI","math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-04-10T08:15:25Z","title_canon_sha256":"d1fbf8ef4def575e2b4c08356198ac8ca4759361adcd4196a07ba7e4d6f439e6"},"schema_version":"1.0","source":{"id":"1404.2725","kind":"arxiv","version":1}},"canonical_sha256":"2b14e13743734a99cee7cba613a5c088c596e30ffbd52e67172840c8c988c6bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b14e13743734a99cee7cba613a5c088c596e30ffbd52e67172840c8c988c6bd","first_computed_at":"2026-05-18T02:54:28.679406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:28.679406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RwUedPSDgjAgG7qo9WA1eJfFxLCNeT7Jsbkhx4HhzwzV+AOB2fsirKGHu9ApW6NEyvSzFpA/K+7f9R+HZqOgCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:28.680136Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.2725","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9613a5a466508b308156f0bb54a010aac4c87bcb2d56ad1609cc61b4d8107836","sha256:900d114e2dd09bbf6d436d7ef93265d1d6f2aa3e362376c5c60e86f64a53c117"],"state_sha256":"7c019ffeadbd74a99fbf82fc5c94c48543c106de378d9cdadfd86c12c30102d0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/wP9LNx0cyGVSmZl+OdGhEfu+70VVXL6NrnE9gyxRNWuPGPnjIPKWj4YG9McciX0U74qcbCBnOeCMynGV0amAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:22:17.589647Z","bundle_sha256":"bf2a53ee9456f4f057f6d188d47a329bfaed51ce9523cac5589234b59436ca6f"}}