{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BH3F2LO2JGMUUUOWKX44FSX46Y","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":"ee9feebb6312f127f1747b51bed0c622f3d471d2be40b39e20ce058ff65a765b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-02-14T12:21:14Z","title_canon_sha256":"638274a12b4359f4983bbb47292aa75b8c02e87998ccef701bb7d36a70a8f3aa"},"schema_version":"1.0","source":{"id":"1402.3447","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3447","created_at":"2026-05-18T02:59:05Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3447v1","created_at":"2026-05-18T02:59:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3447","created_at":"2026-05-18T02:59:05Z"},{"alias_kind":"pith_short_12","alias_value":"BH3F2LO2JGMU","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BH3F2LO2JGMUUUOW","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BH3F2LO2","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:b69581434ef1c2ae69c44d6d6f9c28cb9a77965ea8ae55a647666af556ad5767","target":"graph","created_at":"2026-05-18T02:59:05Z","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":"According to the proportional allocation mechanism from the network optimization literature, users compete for a divisible resource -- such as bandwidth -- by submitting bids. The mechanism allocates to each user a fraction of the resource that is proportional to her bid and collects an amount equal to her bid as payment. Since users act as utility-maximizers, this naturally defines a proportional allocation game. Recently, Syrgkanis and Tardos (STOC 2013) quantified the inefficiency of equilibria in this game with respect to the social welfare and presented a lower bound of 26.8% on the price","authors_text":"Alexandros A. Voudouris, Ioannis Caragiannis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-02-14T12:21:14Z","title":"Welfare guarantees for proportional allocations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3447","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:c6e1576256a1f345f3f39261129c55558581573d77edfb73828a671d2368ef27","target":"record","created_at":"2026-05-18T02:59:05Z","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":"ee9feebb6312f127f1747b51bed0c622f3d471d2be40b39e20ce058ff65a765b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2014-02-14T12:21:14Z","title_canon_sha256":"638274a12b4359f4983bbb47292aa75b8c02e87998ccef701bb7d36a70a8f3aa"},"schema_version":"1.0","source":{"id":"1402.3447","kind":"arxiv","version":1}},"canonical_sha256":"09f65d2dda49994a51d655f9c2cafcf6311cb3dd542f0ef5b41a463ab73419a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09f65d2dda49994a51d655f9c2cafcf6311cb3dd542f0ef5b41a463ab73419a9","first_computed_at":"2026-05-18T02:59:05.147497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:05.147497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TVviPz5NF10dBdLGqNbwDkxQcRKKJFKHH1De/1d7vHkp4XtqTCbLTg6K87P98Ilk9huLqtIC4ks8BDcGeWiUCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:05.148039Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3447","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6e1576256a1f345f3f39261129c55558581573d77edfb73828a671d2368ef27","sha256:b69581434ef1c2ae69c44d6d6f9c28cb9a77965ea8ae55a647666af556ad5767"],"state_sha256":"aaf821d25a2006c746e1e0fda4730ee16c002c6c0d70e48da1d7ce132016cf66"}