{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:43UXV3NCXEU4W5F5FKMXQWEZMZ","short_pith_number":"pith:43UXV3NC","canonical_record":{"source":{"id":"1805.11720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-29T21:38:11Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"172deafc842cb48ba5199d7d1adaee3698bab3c01c49dbca42a30ac59793df20","abstract_canon_sha256":"815395ffed9f0a0d73c4cb088629beaa2d84bd75b190d02491da02025c33098c"},"schema_version":"1.0"},"canonical_sha256":"e6e97aeda2b929cb74bd2a997858996679cd71c7b49f608acc58ef4238fbb29e","source":{"kind":"arxiv","id":"1805.11720","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.11720","created_at":"2026-05-18T00:14:36Z"},{"alias_kind":"arxiv_version","alias_value":"1805.11720v1","created_at":"2026-05-18T00:14:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.11720","created_at":"2026-05-18T00:14:36Z"},{"alias_kind":"pith_short_12","alias_value":"43UXV3NCXEU4","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"43UXV3NCXEU4W5F5","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"43UXV3NC","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:43UXV3NCXEU4W5F5FKMXQWEZMZ","target":"record","payload":{"canonical_record":{"source":{"id":"1805.11720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-29T21:38:11Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"172deafc842cb48ba5199d7d1adaee3698bab3c01c49dbca42a30ac59793df20","abstract_canon_sha256":"815395ffed9f0a0d73c4cb088629beaa2d84bd75b190d02491da02025c33098c"},"schema_version":"1.0"},"canonical_sha256":"e6e97aeda2b929cb74bd2a997858996679cd71c7b49f608acc58ef4238fbb29e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:36.784668Z","signature_b64":"hB+HA4wVJ2xB3QfsqmYqnqvpSZ3DOL8p9LiAEEMIKlHN6pDnJLscTVDRRIVVVhTCImbUcp5cioJ/0rQ4gRPuAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6e97aeda2b929cb74bd2a997858996679cd71c7b49f608acc58ef4238fbb29e","last_reissued_at":"2026-05-18T00:14:36.783843Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:36.783843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.11720","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":"2026-05-18T00:14:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JR6QGKfQ70neeDjoPKv1o8tWrTSEZGkT7aGjbKmv6Xep5ASztcQ+kPMaQF5iGrpx19cWt1W29uLJlwnEbYwSBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:43:22.537901Z"},"content_sha256":"85fcbd2358ad6f1361d183c1fcac674b58c9e27f3ff662c8d9cc0b8c8db89ed6","schema_version":"1.0","event_id":"sha256:85fcbd2358ad6f1361d183c1fcac674b58c9e27f3ff662c8d9cc0b8c8db89ed6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:43UXV3NCXEU4W5F5FKMXQWEZMZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Age of Updates in a Simple Relay Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ali Maatouk, Anthony Ephremides, Mohamad Assaad","submitted_at":"2018-05-29T21:38:11Z","abstract_excerpt":"In this paper, we examine a system where status updates are generated by a source and are forwarded in a First-Come-First-Served (FCFS) manner to the monitor. We consider the case where the server has other tasks to fulfill, a simple example being relaying the packets of another stream. Due to the server's necessity to go on vacations, the age process of the stream of interest becomes complicated to evaluate. By leveraging specific queuing theory tools, we provide a closed form of the average age for both streams which enables us to optimize the generation rate of packets belonging to each str"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.11720","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":"2026-05-18T00:14:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B3waBflW96Stf339r82Le4fwefUlHK/gXLb+HuzaPiIFweQgdnwQdkxAvkZt2R0lfH9CvCNqBzR8ltE1Mch6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:43:22.538253Z"},"content_sha256":"52d2e28fcef631cbc862adb5a51885f3f910a32e1d80fb9cc17e575c71918b73","schema_version":"1.0","event_id":"sha256:52d2e28fcef631cbc862adb5a51885f3f910a32e1d80fb9cc17e575c71918b73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/43UXV3NCXEU4W5F5FKMXQWEZMZ/bundle.json","state_url":"https://pith.science/pith/43UXV3NCXEU4W5F5FKMXQWEZMZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/43UXV3NCXEU4W5F5FKMXQWEZMZ/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":"2026-05-26T12:43:22Z","links":{"resolver":"https://pith.science/pith/43UXV3NCXEU4W5F5FKMXQWEZMZ","bundle":"https://pith.science/pith/43UXV3NCXEU4W5F5FKMXQWEZMZ/bundle.json","state":"https://pith.science/pith/43UXV3NCXEU4W5F5FKMXQWEZMZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/43UXV3NCXEU4W5F5FKMXQWEZMZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:43UXV3NCXEU4W5F5FKMXQWEZMZ","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":"815395ffed9f0a0d73c4cb088629beaa2d84bd75b190d02491da02025c33098c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-29T21:38:11Z","title_canon_sha256":"172deafc842cb48ba5199d7d1adaee3698bab3c01c49dbca42a30ac59793df20"},"schema_version":"1.0","source":{"id":"1805.11720","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.11720","created_at":"2026-05-18T00:14:36Z"},{"alias_kind":"arxiv_version","alias_value":"1805.11720v1","created_at":"2026-05-18T00:14:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.11720","created_at":"2026-05-18T00:14:36Z"},{"alias_kind":"pith_short_12","alias_value":"43UXV3NCXEU4","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"43UXV3NCXEU4W5F5","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"43UXV3NC","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:52d2e28fcef631cbc862adb5a51885f3f910a32e1d80fb9cc17e575c71918b73","target":"graph","created_at":"2026-05-18T00:14:36Z","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":"In this paper, we examine a system where status updates are generated by a source and are forwarded in a First-Come-First-Served (FCFS) manner to the monitor. We consider the case where the server has other tasks to fulfill, a simple example being relaying the packets of another stream. Due to the server's necessity to go on vacations, the age process of the stream of interest becomes complicated to evaluate. By leveraging specific queuing theory tools, we provide a closed form of the average age for both streams which enables us to optimize the generation rate of packets belonging to each str","authors_text":"Ali Maatouk, Anthony Ephremides, Mohamad Assaad","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-29T21:38:11Z","title":"The Age of Updates in a Simple Relay Network"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.11720","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":"sha256:85fcbd2358ad6f1361d183c1fcac674b58c9e27f3ff662c8d9cc0b8c8db89ed6","target":"record","created_at":"2026-05-18T00:14:36Z","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":"815395ffed9f0a0d73c4cb088629beaa2d84bd75b190d02491da02025c33098c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-05-29T21:38:11Z","title_canon_sha256":"172deafc842cb48ba5199d7d1adaee3698bab3c01c49dbca42a30ac59793df20"},"schema_version":"1.0","source":{"id":"1805.11720","kind":"arxiv","version":1}},"canonical_sha256":"e6e97aeda2b929cb74bd2a997858996679cd71c7b49f608acc58ef4238fbb29e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6e97aeda2b929cb74bd2a997858996679cd71c7b49f608acc58ef4238fbb29e","first_computed_at":"2026-05-18T00:14:36.783843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:36.783843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hB+HA4wVJ2xB3QfsqmYqnqvpSZ3DOL8p9LiAEEMIKlHN6pDnJLscTVDRRIVVVhTCImbUcp5cioJ/0rQ4gRPuAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:36.784668Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.11720","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85fcbd2358ad6f1361d183c1fcac674b58c9e27f3ff662c8d9cc0b8c8db89ed6","sha256:52d2e28fcef631cbc862adb5a51885f3f910a32e1d80fb9cc17e575c71918b73"],"state_sha256":"f89a2d7987c5d75fdb7e86c497229e53a4539a1cfdbc2157839428a47d5ea01f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qNMFD2SGjqNEUU6W9nkQMeOETz2NUNBFLmf6obj6eawhauDZmpvZO8GIxH/kMv4e6sJbswlz0+tJ3Ma7QuvvCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:43:22.540550Z","bundle_sha256":"a2bbef74a15a91b86d18335e5f8042119cf2f5a94069123fbdb30fe6d7dbab4c"}}