{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:W5NUXEWHMJTZNQ374PJ66HMTFF","short_pith_number":"pith:W5NUXEWH","canonical_record":{"source":{"id":"0912.3310","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2009-12-17T02:40:36Z","cross_cats_sorted":["cs.GT"],"title_canon_sha256":"02c45a50758a462b2c687bdc4b948d64a748081da6623549594cc610560f24eb","abstract_canon_sha256":"0c71afebd4062ffe32fc3b5d258c9757aff76f5a7533cecc2744aa29574c6bd9"},"schema_version":"1.0"},"canonical_sha256":"b75b4b92c7626796c37fe3d3ef1d9329710d9034d1868b7b8e1ed86a9b31618f","source":{"kind":"arxiv","id":"0912.3310","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.3310","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"arxiv_version","alias_value":"0912.3310v2","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3310","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"pith_short_12","alias_value":"W5NUXEWHMJTZ","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"W5NUXEWHMJTZNQ37","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"W5NUXEWH","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:W5NUXEWHMJTZNQ374PJ66HMTFF","target":"record","payload":{"canonical_record":{"source":{"id":"0912.3310","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2009-12-17T02:40:36Z","cross_cats_sorted":["cs.GT"],"title_canon_sha256":"02c45a50758a462b2c687bdc4b948d64a748081da6623549594cc610560f24eb","abstract_canon_sha256":"0c71afebd4062ffe32fc3b5d258c9757aff76f5a7533cecc2744aa29574c6bd9"},"schema_version":"1.0"},"canonical_sha256":"b75b4b92c7626796c37fe3d3ef1d9329710d9034d1868b7b8e1ed86a9b31618f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:13.274257Z","signature_b64":"swY0BsOEq77dqdGngkD7+sO6gyLiF52a8CBMOiEJHj2i0wUQmtgPgE8VU9PsZttNWxSaXdOSKvKSxrm87HduBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b75b4b92c7626796c37fe3d3ef1d9329710d9034d1868b7b8e1ed86a9b31618f","last_reissued_at":"2026-05-18T04:20:13.273734Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:13.273734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.3310","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:20:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r3LLwpkP3kkinHSXCEllHv1YaFBLqz9palr7VNiOYUihmTL48ob9wKTo4M94zyZ8NjSZ4H3bJ0T480iNKpONBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:13:07.376699Z"},"content_sha256":"c986bb75d263b6a22dc75806fed309947a426ddcb70c28fa7f458d6c4c51c72a","schema_version":"1.0","event_id":"sha256:c986bb75d263b6a22dc75806fed309947a426ddcb70c28fa7f458d6c4c51c72a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:W5NUXEWHMJTZNQ374PJ66HMTFF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Frugal and Truthful Auctions for Vertex Covers, Flows, and Cuts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT"],"primary_cat":"cs.CC","authors_text":"Cristopher Moore, David Kempe, Mahyar Salek","submitted_at":"2009-12-17T02:40:36Z","abstract_excerpt":"We study truthful mechanisms for hiring a team of agents in three classes of set systems: Vertex Cover auctions, k-flow auctions, and cut auctions. For Vertex Cover auctions, the vertices are owned by selfish and rational agents, and the auctioneer wants to purchase a vertex cover from them. For k-flow auctions, the edges are owned by the agents, and the auctioneer wants to purchase k edge-disjoint s-t paths, for given s and t. In the same setting, for cut auctions, the auctioneer wants to purchase an s-t cut. Only the agents know their costs, and the auctioneer needs to select a feasible set "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3310","kind":"arxiv","version":2},"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":"2026-05-18T04:20:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aaUR6t+Zh4qN0HqFrpW4iU46rGldi2IWX1M41pmd+WILN7W04d6WQBV7MdSu2SWn6y8J4KXtmQwnoQMiuvI+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:13:07.377335Z"},"content_sha256":"01a9add99c8dd2c0425bc2b59eec968441937075f1f260fa15bab0b205f234b1","schema_version":"1.0","event_id":"sha256:01a9add99c8dd2c0425bc2b59eec968441937075f1f260fa15bab0b205f234b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W5NUXEWHMJTZNQ374PJ66HMTFF/bundle.json","state_url":"https://pith.science/pith/W5NUXEWHMJTZNQ374PJ66HMTFF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W5NUXEWHMJTZNQ374PJ66HMTFF/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":"2026-06-03T15:13:07Z","links":{"resolver":"https://pith.science/pith/W5NUXEWHMJTZNQ374PJ66HMTFF","bundle":"https://pith.science/pith/W5NUXEWHMJTZNQ374PJ66HMTFF/bundle.json","state":"https://pith.science/pith/W5NUXEWHMJTZNQ374PJ66HMTFF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W5NUXEWHMJTZNQ374PJ66HMTFF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:W5NUXEWHMJTZNQ374PJ66HMTFF","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":"0c71afebd4062ffe32fc3b5d258c9757aff76f5a7533cecc2744aa29574c6bd9","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2009-12-17T02:40:36Z","title_canon_sha256":"02c45a50758a462b2c687bdc4b948d64a748081da6623549594cc610560f24eb"},"schema_version":"1.0","source":{"id":"0912.3310","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.3310","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"arxiv_version","alias_value":"0912.3310v2","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3310","created_at":"2026-05-18T04:20:13Z"},{"alias_kind":"pith_short_12","alias_value":"W5NUXEWHMJTZ","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"W5NUXEWHMJTZNQ37","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"W5NUXEWH","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:01a9add99c8dd2c0425bc2b59eec968441937075f1f260fa15bab0b205f234b1","target":"graph","created_at":"2026-05-18T04:20:13Z","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":"We study truthful mechanisms for hiring a team of agents in three classes of set systems: Vertex Cover auctions, k-flow auctions, and cut auctions. For Vertex Cover auctions, the vertices are owned by selfish and rational agents, and the auctioneer wants to purchase a vertex cover from them. For k-flow auctions, the edges are owned by the agents, and the auctioneer wants to purchase k edge-disjoint s-t paths, for given s and t. In the same setting, for cut auctions, the auctioneer wants to purchase an s-t cut. Only the agents know their costs, and the auctioneer needs to select a feasible set ","authors_text":"Cristopher Moore, David Kempe, Mahyar Salek","cross_cats":["cs.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2009-12-17T02:40:36Z","title":"Frugal and Truthful Auctions for Vertex Covers, Flows, and Cuts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3310","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:c986bb75d263b6a22dc75806fed309947a426ddcb70c28fa7f458d6c4c51c72a","target":"record","created_at":"2026-05-18T04:20:13Z","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":"0c71afebd4062ffe32fc3b5d258c9757aff76f5a7533cecc2744aa29574c6bd9","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2009-12-17T02:40:36Z","title_canon_sha256":"02c45a50758a462b2c687bdc4b948d64a748081da6623549594cc610560f24eb"},"schema_version":"1.0","source":{"id":"0912.3310","kind":"arxiv","version":2}},"canonical_sha256":"b75b4b92c7626796c37fe3d3ef1d9329710d9034d1868b7b8e1ed86a9b31618f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b75b4b92c7626796c37fe3d3ef1d9329710d9034d1868b7b8e1ed86a9b31618f","first_computed_at":"2026-05-18T04:20:13.273734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:13.273734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"swY0BsOEq77dqdGngkD7+sO6gyLiF52a8CBMOiEJHj2i0wUQmtgPgE8VU9PsZttNWxSaXdOSKvKSxrm87HduBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:13.274257Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.3310","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c986bb75d263b6a22dc75806fed309947a426ddcb70c28fa7f458d6c4c51c72a","sha256:01a9add99c8dd2c0425bc2b59eec968441937075f1f260fa15bab0b205f234b1"],"state_sha256":"e047011073e49d615f84add9cd2d0f6c5ee4386fcef3d0837de2dfc6ef20043a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ncATwqO2XK2bWpnCAggx3K0Rhm6GowekQcJnVb9mAvdJI/zLR+ijcbeSinNx3MPq1+RrXkSFiC30DAtPbm0bCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T15:13:07.380544Z","bundle_sha256":"8be9cae0c01cd3dec6aa1ccdfb327b7622f5e659d4122f652bcd84cc4b3c3d5d"}}