{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:K7FZKECKPV7TYWFGNHKN6ECOLV","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":"950ad07030075537633b8df86c033f0356a3b87fa58b634a027b3677b80cd290","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2024-10-18T08:26:07Z","title_canon_sha256":"312ac2c4bc1906f0d0a7256035a21ccb3a93774dd262cf3235f12185d0eb3e8c"},"schema_version":"1.0","source":{"id":"2410.14272","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.14272","created_at":"2026-07-05T09:22:30Z"},{"alias_kind":"arxiv_version","alias_value":"2410.14272v1","created_at":"2026-07-05T09:22:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.14272","created_at":"2026-07-05T09:22:30Z"},{"alias_kind":"pith_short_12","alias_value":"K7FZKECKPV7T","created_at":"2026-07-05T09:22:30Z"},{"alias_kind":"pith_short_16","alias_value":"K7FZKECKPV7TYWFG","created_at":"2026-07-05T09:22:30Z"},{"alias_kind":"pith_short_8","alias_value":"K7FZKECK","created_at":"2026-07-05T09:22:30Z"}],"graph_snapshots":[{"event_id":"sha256:3fb695a7f2a55f9c43e5af6b6d7451931415273f4d9016a524d0342aca5e770f","target":"graph","created_at":"2026-07-05T09:22:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.14272/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the complexity of finding envy-free allocations for the class of graphical valuations. Graphical valuations were introduced by Christodoulou et. al.(2023) as a structured class of valuations that admit allocations that are envy-free up to any item (EFX). These are valuations where every item is valued by two agents, lending a (simple) graph structure to the utilities, where the agents are vertices and are adjacent if and only if they value a (unique) common item. Finding envy-free allocations for general valuations is known to be computationally intractable even for very special ca","authors_text":"Aditi Sethia, Neeldhara Misra","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2024-10-18T08:26:07Z","title":"Envy-Free and Efficient Allocations for Graphical Valuations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.14272","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":"sha256:7a27aec51506132e82cab20cae3a517f41e98a7eef2dedf4afe3bd043594f985","target":"record","created_at":"2026-07-05T09:22:30Z","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":"950ad07030075537633b8df86c033f0356a3b87fa58b634a027b3677b80cd290","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2024-10-18T08:26:07Z","title_canon_sha256":"312ac2c4bc1906f0d0a7256035a21ccb3a93774dd262cf3235f12185d0eb3e8c"},"schema_version":"1.0","source":{"id":"2410.14272","kind":"arxiv","version":1}},"canonical_sha256":"57cb95104a7d7f3c58a669d4df104e5d7e96eeabf6e924b8b7b0e7d90ef6b380","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57cb95104a7d7f3c58a669d4df104e5d7e96eeabf6e924b8b7b0e7d90ef6b380","first_computed_at":"2026-07-05T09:22:30.002487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:22:30.002487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cU0bUrhj2jb5lhJ1L/XnIigb6QkF1Jst874A3Rq0EoJJVIV1MXkM8jMh8DcT14trRQjtqzeVLHJKrEhjbAsNBg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:22:30.002929Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.14272","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a27aec51506132e82cab20cae3a517f41e98a7eef2dedf4afe3bd043594f985","sha256:3fb695a7f2a55f9c43e5af6b6d7451931415273f4d9016a524d0342aca5e770f"],"state_sha256":"9cfb9cc32994185b6534cda3ee855bd7de7933fa2496ef6153624d7bfc545205"}