{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SONPYCYPL2MCKMP2STTDMU7KGX","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":"038ae4e9e2484ae90ef8d8e953bdf0354e1fd8e67b50eaef3aa0e01d5a919ce8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2025-03-20T17:59:21Z","title_canon_sha256":"f802aabb8b619d35ceb7fa52f8799159d962f00af112221085583bdaf267ce38"},"schema_version":"1.0","source":{"id":"2503.16414","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.16414","created_at":"2026-07-05T12:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"2503.16414v2","created_at":"2026-07-05T12:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.16414","created_at":"2026-07-05T12:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"SONPYCYPL2MC","created_at":"2026-07-05T12:05:14Z"},{"alias_kind":"pith_short_16","alias_value":"SONPYCYPL2MCKMP2","created_at":"2026-07-05T12:05:14Z"},{"alias_kind":"pith_short_8","alias_value":"SONPYCYP","created_at":"2026-07-05T12:05:14Z"}],"graph_snapshots":[{"event_id":"sha256:882a4edad7c3d7a2ee970017f104246c68d9a805b410303e79b3e93b91192bcd","target":"graph","created_at":"2026-07-05T12:05:14Z","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/2503.16414/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Lindahl equilibrium is a solution concept for allocating a fixed budget across several divisible public goods. It always lies in the weak core, meaning that the equilibrium allocation satisfies desirable stability and proportional fairness properties. We consider a model where agents have separable linear utility functions over the public goods, and the output assigns to each good an amount of spending, summing to at most the available budget.\n  In the uncapped setting, each of the public goods can absorb any amount of funding. In this case, it is known that Lindahl equilibrium is equivalent t","authors_text":"Christian Kroer, Dominik Peters","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2025-03-20T17:59:21Z","title":"Computing Lindahl Equilibrium for Public Goods with and without Funding Caps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.16414","kind":"arxiv","version":2},"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":"sha256:219457a2a99562bc73b9ac2b851fd6fea8c4991f799421cb419bb1cef95c344b","target":"record","created_at":"2026-07-05T12:05:14Z","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":"038ae4e9e2484ae90ef8d8e953bdf0354e1fd8e67b50eaef3aa0e01d5a919ce8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2025-03-20T17:59:21Z","title_canon_sha256":"f802aabb8b619d35ceb7fa52f8799159d962f00af112221085583bdaf267ce38"},"schema_version":"1.0","source":{"id":"2503.16414","kind":"arxiv","version":2}},"canonical_sha256":"939afc0b0f5e982531fa94e63653ea35ef761c96a050244ea7bdd24d40e326d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"939afc0b0f5e982531fa94e63653ea35ef761c96a050244ea7bdd24d40e326d4","first_computed_at":"2026-07-05T12:05:14.890451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:05:14.890451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dDs7rbT8zBipfbe2crDBuV+TNRAbZ/fG83HmE1NF69GKy2hhvOS/CvgZUVb9Q6pTbTHsWvZ8l/sYTNG2Br9lDw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:05:14.890961Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.16414","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:219457a2a99562bc73b9ac2b851fd6fea8c4991f799421cb419bb1cef95c344b","sha256:882a4edad7c3d7a2ee970017f104246c68d9a805b410303e79b3e93b91192bcd"],"state_sha256":"e89cdbc5031994bf9b10188d9e136ac57c333cee4c8cd9cc235f86453d434d7a"}