{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:P5IW7PY5SCX4GHOK5B6AOHWWCG","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":"6aad125bcdcc5bf1b509043de00c66877e46dbe083f111d401bfd7c3220fb83d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2013-09-15T21:33:07Z","title_canon_sha256":"ef4dac36ecb96aa11b262c0255bb3f8f41477186015fbba351f4b21125b7cc91"},"schema_version":"1.0","source":{"id":"1309.3798","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3798","created_at":"2026-05-18T03:13:20Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3798v1","created_at":"2026-05-18T03:13:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3798","created_at":"2026-05-18T03:13:20Z"},{"alias_kind":"pith_short_12","alias_value":"P5IW7PY5SCX4","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"P5IW7PY5SCX4GHOK","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"P5IW7PY5","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:27cf2924f2f30e6448dbc1747c5d2e4eb9b0e004f6df4149a0c4189a415a835f","target":"graph","created_at":"2026-05-18T03:13:20Z","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":"Hou et al have introduced a framework to serve clients over wireless channels when there are hard deadline constraints along with a minimum delivery ratio for each client's flow. Policies based on \"debt,\" called maximum debt first policies (MDF) were introduced, and shown to be throughput optimal. By \"throughput optimality\" it is meant that if there exists a policy that fulfils a set of clients with a given vector of delivery ratios and a vector of channel reliabilities, then the MDF policy will also fulfill them. The debt of a user is the difference between the number of packets that should h","authors_text":"I-Hong Hou, P.R. Kumar, Rahul Singh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2013-09-15T21:33:07Z","title":"Pathwise Performance of Debt Based Policies for Wireless Networks with Hard Delay Constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3798","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":"sha256:87d811fe0544e198ffae33ee8ef9808f3cb6f21c9fba28f1c179cb520c7e6f6d","target":"record","created_at":"2026-05-18T03:13:20Z","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":"6aad125bcdcc5bf1b509043de00c66877e46dbe083f111d401bfd7c3220fb83d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2013-09-15T21:33:07Z","title_canon_sha256":"ef4dac36ecb96aa11b262c0255bb3f8f41477186015fbba351f4b21125b7cc91"},"schema_version":"1.0","source":{"id":"1309.3798","kind":"arxiv","version":1}},"canonical_sha256":"7f516fbf1d90afc31dcae87c071ed611a9d06fe2d6e687f9493592160d7d1180","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f516fbf1d90afc31dcae87c071ed611a9d06fe2d6e687f9493592160d7d1180","first_computed_at":"2026-05-18T03:13:20.511530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:20.511530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BGpxRT7sVqXfCcVfaGPRAAzJXMDX8uX9nlLW4y47/2z2m5Px8mqm1rVCwuZvbMqzUPVKGeHZaFvTIaqAwqw4Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:20.512208Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.3798","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87d811fe0544e198ffae33ee8ef9808f3cb6f21c9fba28f1c179cb520c7e6f6d","sha256:27cf2924f2f30e6448dbc1747c5d2e4eb9b0e004f6df4149a0c4189a415a835f"],"state_sha256":"050bd0306705002549c83ec719603d72438bb8077aadede1c769c131eae0ba53"}