{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DLCSHSZF6ACTFX3PCGBYQDCBEC","short_pith_number":"pith:DLCSHSZF","canonical_record":{"source":{"id":"1610.03474","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-10-11T19:37:05Z","cross_cats_sorted":["cs.CY","cs.DS","cs.MA"],"title_canon_sha256":"d485ff548ab211aeb94ce98e1539dfb9dd45f7b029d1ddbb23d68223556ecb34","abstract_canon_sha256":"4f41a0a7094435e2359e9e856b6851cdbdb3f0a355f362389c96ea69ddc3e285"},"schema_version":"1.0"},"canonical_sha256":"1ac523cb25f00532df6f1183880c4120921efe0d75e847a6b676fbafe0f2d3f3","source":{"kind":"arxiv","id":"1610.03474","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03474","created_at":"2026-05-18T01:02:20Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03474v2","created_at":"2026-05-18T01:02:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03474","created_at":"2026-05-18T01:02:20Z"},{"alias_kind":"pith_short_12","alias_value":"DLCSHSZF6ACT","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DLCSHSZF6ACTFX3P","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DLCSHSZF","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DLCSHSZF6ACTFX3PCGBYQDCBEC","target":"record","payload":{"canonical_record":{"source":{"id":"1610.03474","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-10-11T19:37:05Z","cross_cats_sorted":["cs.CY","cs.DS","cs.MA"],"title_canon_sha256":"d485ff548ab211aeb94ce98e1539dfb9dd45f7b029d1ddbb23d68223556ecb34","abstract_canon_sha256":"4f41a0a7094435e2359e9e856b6851cdbdb3f0a355f362389c96ea69ddc3e285"},"schema_version":"1.0"},"canonical_sha256":"1ac523cb25f00532df6f1183880c4120921efe0d75e847a6b676fbafe0f2d3f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:20.367070Z","signature_b64":"I+5C1Q/h8pIWf9rvN+lu3TOk94T9QpihBz0TClyX+ylMO5mfrvca2ivwwxNpHZCucHkJ1hfjBOJND5L8MmWbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ac523cb25f00532df6f1183880c4120921efe0d75e847a6b676fbafe0f2d3f3","last_reissued_at":"2026-05-18T01:02:20.366482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:20.366482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.03474","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":"2026-05-18T01:02:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dy/0FHfT3De+C0FLqyHPR+3/klCqTSnEqaS4ck89w1dE4vJBPPEejGqe7qyTdFuaHqOpV3e2XVQmvE0YAU9QBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:47:02.535536Z"},"content_sha256":"09eb5f6bad28bede4fc12b2de0e9c99107b679446a4db11681aa457fb485abad","schema_version":"1.0","event_id":"sha256:09eb5f6bad28bede4fc12b2de0e9c99107b679446a4db11681aa457fb485abad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DLCSHSZF6ACTFX3PCGBYQDCBEC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Core of the Participatory Budgeting Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CY","cs.DS","cs.MA"],"primary_cat":"cs.GT","authors_text":"Ashish Goel, Brandon Fain, Kamesh Munagala","submitted_at":"2016-10-11T19:37:05Z","abstract_excerpt":"In participatory budgeting, communities collectively decide on the allocation of public tax dollars for local public projects. In this work, we consider the question of fairly aggregating the preferences of community members to determine an allocation of funds to projects. This problem is different from standard fair resource allocation because of public goods: The allocated goods benefit all users simultaneously. Fairness is crucial in participatory decision making, since generating equitable outcomes is an important goal of these processes. We argue that the classic game theoretic notion of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03474","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":"2026-05-18T01:02:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NXv/1MpbHjW/dq6XqCZDgIcWUlfqW1vQZWXoDcvQ0jWjW2Xq0q0UCehDHwmZCIO0sxscPIcUTq0v0IQcBoe8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:47:02.535897Z"},"content_sha256":"49457710b80b1bacd87faa83cd533fcf7f1ce95199876a59caf9843098bc28ad","schema_version":"1.0","event_id":"sha256:49457710b80b1bacd87faa83cd533fcf7f1ce95199876a59caf9843098bc28ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DLCSHSZF6ACTFX3PCGBYQDCBEC/bundle.json","state_url":"https://pith.science/pith/DLCSHSZF6ACTFX3PCGBYQDCBEC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DLCSHSZF6ACTFX3PCGBYQDCBEC/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":"2026-06-05T20:47:02Z","links":{"resolver":"https://pith.science/pith/DLCSHSZF6ACTFX3PCGBYQDCBEC","bundle":"https://pith.science/pith/DLCSHSZF6ACTFX3PCGBYQDCBEC/bundle.json","state":"https://pith.science/pith/DLCSHSZF6ACTFX3PCGBYQDCBEC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DLCSHSZF6ACTFX3PCGBYQDCBEC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DLCSHSZF6ACTFX3PCGBYQDCBEC","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":"4f41a0a7094435e2359e9e856b6851cdbdb3f0a355f362389c96ea69ddc3e285","cross_cats_sorted":["cs.CY","cs.DS","cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-10-11T19:37:05Z","title_canon_sha256":"d485ff548ab211aeb94ce98e1539dfb9dd45f7b029d1ddbb23d68223556ecb34"},"schema_version":"1.0","source":{"id":"1610.03474","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03474","created_at":"2026-05-18T01:02:20Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03474v2","created_at":"2026-05-18T01:02:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03474","created_at":"2026-05-18T01:02:20Z"},{"alias_kind":"pith_short_12","alias_value":"DLCSHSZF6ACT","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DLCSHSZF6ACTFX3P","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DLCSHSZF","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:49457710b80b1bacd87faa83cd533fcf7f1ce95199876a59caf9843098bc28ad","target":"graph","created_at":"2026-05-18T01:02:20Z","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":"In participatory budgeting, communities collectively decide on the allocation of public tax dollars for local public projects. In this work, we consider the question of fairly aggregating the preferences of community members to determine an allocation of funds to projects. This problem is different from standard fair resource allocation because of public goods: The allocated goods benefit all users simultaneously. Fairness is crucial in participatory decision making, since generating equitable outcomes is an important goal of these processes. We argue that the classic game theoretic notion of ","authors_text":"Ashish Goel, Brandon Fain, Kamesh Munagala","cross_cats":["cs.CY","cs.DS","cs.MA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-10-11T19:37:05Z","title":"The Core of the Participatory Budgeting Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03474","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":"sha256:09eb5f6bad28bede4fc12b2de0e9c99107b679446a4db11681aa457fb485abad","target":"record","created_at":"2026-05-18T01:02:20Z","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":"4f41a0a7094435e2359e9e856b6851cdbdb3f0a355f362389c96ea69ddc3e285","cross_cats_sorted":["cs.CY","cs.DS","cs.MA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-10-11T19:37:05Z","title_canon_sha256":"d485ff548ab211aeb94ce98e1539dfb9dd45f7b029d1ddbb23d68223556ecb34"},"schema_version":"1.0","source":{"id":"1610.03474","kind":"arxiv","version":2}},"canonical_sha256":"1ac523cb25f00532df6f1183880c4120921efe0d75e847a6b676fbafe0f2d3f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ac523cb25f00532df6f1183880c4120921efe0d75e847a6b676fbafe0f2d3f3","first_computed_at":"2026-05-18T01:02:20.366482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:20.366482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I+5C1Q/h8pIWf9rvN+lu3TOk94T9QpihBz0TClyX+ylMO5mfrvca2ivwwxNpHZCucHkJ1hfjBOJND5L8MmWbAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:20.367070Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.03474","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09eb5f6bad28bede4fc12b2de0e9c99107b679446a4db11681aa457fb485abad","sha256:49457710b80b1bacd87faa83cd533fcf7f1ce95199876a59caf9843098bc28ad"],"state_sha256":"ff822fda39c19032e7a573c28c4095ce7f4d622a425f8ee28e011972883c3e28"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0RvbIfdNdcmMlegISIS7zdJbbNisKnIKZXpxdaO+VmbR8I/Vcnmku6PwQVQ/TBPO0vVzVnmpyGTXCz5+pt24Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:47:02.538395Z","bundle_sha256":"9f4f319a30a4e8d2929f5b695d5df15cd72fe7a5b317c73bb61633a47d58df40"}}