{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZWXFYJTPL4IH62235LAFF6QSAC","short_pith_number":"pith:ZWXFYJTP","canonical_record":{"source":{"id":"1706.09778","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-06-29T14:37:44Z","cross_cats_sorted":[],"title_canon_sha256":"0d499f634eedf74c5de11f8e40b200d17e40e95fbc682c627afc10df9eef3e44","abstract_canon_sha256":"1fbbbfbfca1780830f655d72fdebda8a0863717b1fef846e5373fb2de66dbfd9"},"schema_version":"1.0"},"canonical_sha256":"cdae5c266f5f107f6b5beac052fa1200a5f603acc4c957158f5e9e5c845bd6a2","source":{"kind":"arxiv","id":"1706.09778","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.09778","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"arxiv_version","alias_value":"1706.09778v3","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.09778","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"pith_short_12","alias_value":"ZWXFYJTPL4IH","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZWXFYJTPL4IH6223","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZWXFYJTP","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZWXFYJTPL4IH62235LAFF6QSAC","target":"record","payload":{"canonical_record":{"source":{"id":"1706.09778","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-06-29T14:37:44Z","cross_cats_sorted":[],"title_canon_sha256":"0d499f634eedf74c5de11f8e40b200d17e40e95fbc682c627afc10df9eef3e44","abstract_canon_sha256":"1fbbbfbfca1780830f655d72fdebda8a0863717b1fef846e5373fb2de66dbfd9"},"schema_version":"1.0"},"canonical_sha256":"cdae5c266f5f107f6b5beac052fa1200a5f603acc4c957158f5e9e5c845bd6a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:42.463218Z","signature_b64":"jRJkaLXLL+Yf1xpkMiXwMhHsyaNZPg7PbHK/acBzWrjJOxH/rr9TLCr3W4RKTVsNmQZ96EFwpEkxQKBRVdf5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdae5c266f5f107f6b5beac052fa1200a5f603acc4c957158f5e9e5c845bd6a2","last_reissued_at":"2026-05-18T00:32:42.462613Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:42.462613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.09778","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:32:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dY/CDY5UJJ/WPDRLd68sjnC3zCDfE6oC86wDH4VfAWi4srFt7J3gmPgNVi3W48znJ18qpuZB0ypUgbjVqpK+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T01:26:10.043995Z"},"content_sha256":"3ef8242e45230e7e15201fc92a806ea1161fe6fc808e5fb8e81534a6ef46b3de","schema_version":"1.0","event_id":"sha256:3ef8242e45230e7e15201fc92a806ea1161fe6fc808e5fb8e81534a6ef46b3de"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZWXFYJTPL4IH62235LAFF6QSAC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Opportunistic Scheduling as Restless Bandits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Gaurav S. Kasbekar, Priyesh Y. Shetty, Sarath Pattathil, Vivek S. Borkar","submitted_at":"2017-06-29T14:37:44Z","abstract_excerpt":"In this paper we consider energy efficient scheduling in a multiuser setting where each user has a finite sized queue and there is a cost associated with holding packets (jobs) in each queue (modeling the delay constraints). The packets of each user need to be sent over a common channel. The channel qualities seen by the users are time-varying and differ across users; also, the cost incurred, i.e., energy consumed, in packet transmission is a function of the channel quality. We pose the problem as an average cost Markov Decision Problem, and prove that this problem is Whittle Indexable. Based "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.09778","kind":"arxiv","version":3},"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":"2026-05-18T00:32:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eO2L0jcmmoIc309j6jHIn7fN425ux9Mm8e/raegsCqb0gjCRDu+WlSy71NEA9tdeojz0vpu+85PKJ6bg/ctXBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T01:26:10.044335Z"},"content_sha256":"347b0e818b96a3cad3056037fa4231069c17effd65d47d98ebde74a21e257d06","schema_version":"1.0","event_id":"sha256:347b0e818b96a3cad3056037fa4231069c17effd65d47d98ebde74a21e257d06"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZWXFYJTPL4IH62235LAFF6QSAC/bundle.json","state_url":"https://pith.science/pith/ZWXFYJTPL4IH62235LAFF6QSAC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZWXFYJTPL4IH62235LAFF6QSAC/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":"2026-06-24T01:26:10Z","links":{"resolver":"https://pith.science/pith/ZWXFYJTPL4IH62235LAFF6QSAC","bundle":"https://pith.science/pith/ZWXFYJTPL4IH62235LAFF6QSAC/bundle.json","state":"https://pith.science/pith/ZWXFYJTPL4IH62235LAFF6QSAC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZWXFYJTPL4IH62235LAFF6QSAC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZWXFYJTPL4IH62235LAFF6QSAC","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":"1fbbbfbfca1780830f655d72fdebda8a0863717b1fef846e5373fb2de66dbfd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-06-29T14:37:44Z","title_canon_sha256":"0d499f634eedf74c5de11f8e40b200d17e40e95fbc682c627afc10df9eef3e44"},"schema_version":"1.0","source":{"id":"1706.09778","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.09778","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"arxiv_version","alias_value":"1706.09778v3","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.09778","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"pith_short_12","alias_value":"ZWXFYJTPL4IH","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZWXFYJTPL4IH6223","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZWXFYJTP","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:347b0e818b96a3cad3056037fa4231069c17effd65d47d98ebde74a21e257d06","target":"graph","created_at":"2026-05-18T00:32:42Z","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 consider energy efficient scheduling in a multiuser setting where each user has a finite sized queue and there is a cost associated with holding packets (jobs) in each queue (modeling the delay constraints). The packets of each user need to be sent over a common channel. The channel qualities seen by the users are time-varying and differ across users; also, the cost incurred, i.e., energy consumed, in packet transmission is a function of the channel quality. We pose the problem as an average cost Markov Decision Problem, and prove that this problem is Whittle Indexable. Based ","authors_text":"Gaurav S. Kasbekar, Priyesh Y. Shetty, Sarath Pattathil, Vivek S. Borkar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-06-29T14:37:44Z","title":"Opportunistic Scheduling as Restless Bandits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.09778","kind":"arxiv","version":3},"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":"sha256:3ef8242e45230e7e15201fc92a806ea1161fe6fc808e5fb8e81534a6ef46b3de","target":"record","created_at":"2026-05-18T00:32:42Z","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":"1fbbbfbfca1780830f655d72fdebda8a0863717b1fef846e5373fb2de66dbfd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-06-29T14:37:44Z","title_canon_sha256":"0d499f634eedf74c5de11f8e40b200d17e40e95fbc682c627afc10df9eef3e44"},"schema_version":"1.0","source":{"id":"1706.09778","kind":"arxiv","version":3}},"canonical_sha256":"cdae5c266f5f107f6b5beac052fa1200a5f603acc4c957158f5e9e5c845bd6a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdae5c266f5f107f6b5beac052fa1200a5f603acc4c957158f5e9e5c845bd6a2","first_computed_at":"2026-05-18T00:32:42.462613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:42.462613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jRJkaLXLL+Yf1xpkMiXwMhHsyaNZPg7PbHK/acBzWrjJOxH/rr9TLCr3W4RKTVsNmQZ96EFwpEkxQKBRVdf5Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:42.463218Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.09778","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ef8242e45230e7e15201fc92a806ea1161fe6fc808e5fb8e81534a6ef46b3de","sha256:347b0e818b96a3cad3056037fa4231069c17effd65d47d98ebde74a21e257d06"],"state_sha256":"cdc193150ec5d1821789544117655178c6e07572bf5fedfcb70435308bad8b99"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bdoxKTgKcPILyRZe/nntPixWTm+YmP41rSQq6gNMHtfEMW/YMxGJ9NweU8gzJUQz5vKU7eoLfesQG9dK++Z6DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T01:26:10.046247Z","bundle_sha256":"e816e071326ffd25c84a3a6e8d9791973e54df7502e99eac5ae531ae249a3cc8"}}