{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QUATPXJW5LFZ7TY4JIXBLCYJGP","short_pith_number":"pith:QUATPXJW","canonical_record":{"source":{"id":"1110.4050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-18T17:00:35Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6b0611c547caed37606153c02700e5f47371d046b1620baa395006b3148e94ba","abstract_canon_sha256":"8ec41dc32d36b4e2a029fc862e24d1f13964d2a0b2de81e4e1361e82655331d1"},"schema_version":"1.0"},"canonical_sha256":"850137dd36eacb9fcf1c4a2e158b0933d12000b25f152e1e72584c29e3daed4e","source":{"kind":"arxiv","id":"1110.4050","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4050","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4050v1","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4050","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"pith_short_12","alias_value":"QUATPXJW5LFZ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QUATPXJW5LFZ7TY4","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QUATPXJW","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QUATPXJW5LFZ7TY4JIXBLCYJGP","target":"record","payload":{"canonical_record":{"source":{"id":"1110.4050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-18T17:00:35Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6b0611c547caed37606153c02700e5f47371d046b1620baa395006b3148e94ba","abstract_canon_sha256":"8ec41dc32d36b4e2a029fc862e24d1f13964d2a0b2de81e4e1361e82655331d1"},"schema_version":"1.0"},"canonical_sha256":"850137dd36eacb9fcf1c4a2e158b0933d12000b25f152e1e72584c29e3daed4e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:21.723341Z","signature_b64":"q6p3XbaSlWdwY1p0JiA6yqt5TwCnV4arAh8g2OQdqVSp9ofd9RR3QF0RLEErYO9VoV5tP1Y+eJ4XZ/4OfrN0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"850137dd36eacb9fcf1c4a2e158b0933d12000b25f152e1e72584c29e3daed4e","last_reissued_at":"2026-05-18T01:08:21.722655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:21.722655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.4050","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":"2026-05-18T01:08:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b3RJq2aHjFPUq7vrwFqywjL1UCT+pf0TkmjTNKA3+ktfYbuy9f8+p6q7SSTzra+9GDrb4bSIFA+Ea0VqKk7EDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T00:22:21.155580Z"},"content_sha256":"4d3b85a4380beb6293e1f5f52b455a24a7d77e7294c0e42de00cda3f7d50d9e6","schema_version":"1.0","event_id":"sha256:4d3b85a4380beb6293e1f5f52b455a24a7d77e7294c0e42de00cda3f7d50d9e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QUATPXJW5LFZ7TY4JIXBLCYJGP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Joint Scheduling and Resource Allocation in OFDMA Downlink Systems via ACK/NAK Feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"C. Emre Koksal, Philip Schniter, Rohit Aggarwal","submitted_at":"2011-10-18T17:00:35Z","abstract_excerpt":"In this paper, we consider the problem of joint scheduling and resource allocation in the OFDMA downlink, with the goal of maximizing an expected long-term goodput-based utility subject to an instantaneous sum-power constraint, and where the feedback to the base station consists only of ACK/NAKs from recently scheduled users. We first establish that the optimal solution is a partially observable Markov decision process (POMDP), which is impractical to implement. In response, we propose a greedy approach to joint scheduling and resource allocation that maintains a posterior channel distribution"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4050","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":"2026-05-18T01:08:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KpypEKsmRBjceXUZZ8Ng7D9tlN4eA10Z5syZOqf/OL/b/N4YZAggD2+zoi0WdG5/hYlAQ2mjBR767ZtMbMDuCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T00:22:21.156215Z"},"content_sha256":"55231ea7e28eba5009fbbcbefd71fe014a4c2668bf757c1a4cce9a4ef20254a2","schema_version":"1.0","event_id":"sha256:55231ea7e28eba5009fbbcbefd71fe014a4c2668bf757c1a4cce9a4ef20254a2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QUATPXJW5LFZ7TY4JIXBLCYJGP/bundle.json","state_url":"https://pith.science/pith/QUATPXJW5LFZ7TY4JIXBLCYJGP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QUATPXJW5LFZ7TY4JIXBLCYJGP/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":"2026-06-07T00:22:21Z","links":{"resolver":"https://pith.science/pith/QUATPXJW5LFZ7TY4JIXBLCYJGP","bundle":"https://pith.science/pith/QUATPXJW5LFZ7TY4JIXBLCYJGP/bundle.json","state":"https://pith.science/pith/QUATPXJW5LFZ7TY4JIXBLCYJGP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QUATPXJW5LFZ7TY4JIXBLCYJGP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QUATPXJW5LFZ7TY4JIXBLCYJGP","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":"8ec41dc32d36b4e2a029fc862e24d1f13964d2a0b2de81e4e1361e82655331d1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-18T17:00:35Z","title_canon_sha256":"6b0611c547caed37606153c02700e5f47371d046b1620baa395006b3148e94ba"},"schema_version":"1.0","source":{"id":"1110.4050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4050","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4050v1","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4050","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"pith_short_12","alias_value":"QUATPXJW5LFZ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QUATPXJW5LFZ7TY4","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QUATPXJW","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:55231ea7e28eba5009fbbcbefd71fe014a4c2668bf757c1a4cce9a4ef20254a2","target":"graph","created_at":"2026-05-18T01:08:21Z","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 the problem of joint scheduling and resource allocation in the OFDMA downlink, with the goal of maximizing an expected long-term goodput-based utility subject to an instantaneous sum-power constraint, and where the feedback to the base station consists only of ACK/NAKs from recently scheduled users. We first establish that the optimal solution is a partially observable Markov decision process (POMDP), which is impractical to implement. In response, we propose a greedy approach to joint scheduling and resource allocation that maintains a posterior channel distribution","authors_text":"C. Emre Koksal, Philip Schniter, Rohit Aggarwal","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-18T17:00:35Z","title":"Joint Scheduling and Resource Allocation in OFDMA Downlink Systems via ACK/NAK Feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4050","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":"sha256:4d3b85a4380beb6293e1f5f52b455a24a7d77e7294c0e42de00cda3f7d50d9e6","target":"record","created_at":"2026-05-18T01:08:21Z","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":"8ec41dc32d36b4e2a029fc862e24d1f13964d2a0b2de81e4e1361e82655331d1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-18T17:00:35Z","title_canon_sha256":"6b0611c547caed37606153c02700e5f47371d046b1620baa395006b3148e94ba"},"schema_version":"1.0","source":{"id":"1110.4050","kind":"arxiv","version":1}},"canonical_sha256":"850137dd36eacb9fcf1c4a2e158b0933d12000b25f152e1e72584c29e3daed4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"850137dd36eacb9fcf1c4a2e158b0933d12000b25f152e1e72584c29e3daed4e","first_computed_at":"2026-05-18T01:08:21.722655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:21.722655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q6p3XbaSlWdwY1p0JiA6yqt5TwCnV4arAh8g2OQdqVSp9ofd9RR3QF0RLEErYO9VoV5tP1Y+eJ4XZ/4OfrN0DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:21.723341Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d3b85a4380beb6293e1f5f52b455a24a7d77e7294c0e42de00cda3f7d50d9e6","sha256:55231ea7e28eba5009fbbcbefd71fe014a4c2668bf757c1a4cce9a4ef20254a2"],"state_sha256":"5df64aa748b32106836d4464b6b8bb9a10abe6fcb953378c0abac1ae901db7ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AbbvmPHELMrUeSXzq+0U3dagA5riJDwP1xxSe2IS0+oVa1pMEScAN2RIEwp/IoPCmh3wS892k4j+eoLGE5mHDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T00:22:21.159794Z","bundle_sha256":"4b5523e3f9c9c873ef3f43535b58dbcbbf7e36ef1d4b4ca9b989e04cc28762b0"}}