{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:DJHL7MIPIZBGOLSGSZXBHBJ3JY","short_pith_number":"pith:DJHL7MIP","canonical_record":{"source":{"id":"1705.01570","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-05-03T18:15:48Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"e82e82dd99c4e6dbd8086bed580d6ce47fbf819a221898a5d14cc4d71125d4f7","abstract_canon_sha256":"dee235fbd57a2eba0067174f5fd3e7e82aea37aa5188b4f8bd1981e52ab7108d"},"schema_version":"1.0"},"canonical_sha256":"1a4ebfb10f4642672e46966e13853b4e3990a71d4ff9c9052096f9b6e1f27dda","source":{"kind":"arxiv","id":"1705.01570","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01570","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01570v1","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01570","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"pith_short_12","alias_value":"DJHL7MIPIZBG","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DJHL7MIPIZBGOLSG","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DJHL7MIP","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:DJHL7MIPIZBGOLSGSZXBHBJ3JY","target":"record","payload":{"canonical_record":{"source":{"id":"1705.01570","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-05-03T18:15:48Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"e82e82dd99c4e6dbd8086bed580d6ce47fbf819a221898a5d14cc4d71125d4f7","abstract_canon_sha256":"dee235fbd57a2eba0067174f5fd3e7e82aea37aa5188b4f8bd1981e52ab7108d"},"schema_version":"1.0"},"canonical_sha256":"1a4ebfb10f4642672e46966e13853b4e3990a71d4ff9c9052096f9b6e1f27dda","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:04.640283Z","signature_b64":"qD3Bm9rI/nSsI3i64m3SwQr3zOGbq6ednVSOdFiK5YqB9ecYIGOniWCa2gKByKI2yViNfhdXg5tyUBp0drdlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a4ebfb10f4642672e46966e13853b4e3990a71d4ff9c9052096f9b6e1f27dda","last_reissued_at":"2026-05-18T00:45:04.639927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:04.639927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.01570","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tTU8tI8eyDhbNYBe2vPHm7nzBk5HvUiKdNRDLXDfvrAfsJ2P1SyFdHA044//dcKATGVXmlXZBiOWvQKWJD+bBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:20:29.220866Z"},"content_sha256":"b25bd2b8b4be7c6e2e624de192e656a5fc609e81f6e318bd1b531cfb0b753e1a","schema_version":"1.0","event_id":"sha256:b25bd2b8b4be7c6e2e624de192e656a5fc609e81f6e318bd1b531cfb0b753e1a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:DJHL7MIPIZBGOLSGSZXBHBJ3JY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Testing Core Membership in Public Goods Economies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.GT","authors_text":"Greg Bodwin","submitted_at":"2017-05-03T18:15:48Z","abstract_excerpt":"This paper develops a recent line of economic theory seeking to understand public goods economies using methods of topological analysis. Our first main result is a very clean characterization of the economy's core (the standard solution concept in public goods). Specifically, we prove that a point is in the core iff it is Pareto efficient, individually rational, and the set of points it dominates is path connected.\n  While this structural theorem has a few interesting implications in economic theory, the main focus of the second part of this paper is on a particular algorithmic application tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01570","kind":"arxiv","version":1},"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":"2026-05-18T00:45:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wziErT4NGahYpXQ+v2Jco+Uk5xr9G0c8XMJqyzhaQL46C3lp8/zEEvPGFGlJOy21IcMDXQTtk8ZhnIC9TOMPBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:20:29.221470Z"},"content_sha256":"b0a4276a7bf207872ac423769048907c502f5502e0bec125e6c67c7bc837b1fc","schema_version":"1.0","event_id":"sha256:b0a4276a7bf207872ac423769048907c502f5502e0bec125e6c67c7bc837b1fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DJHL7MIPIZBGOLSGSZXBHBJ3JY/bundle.json","state_url":"https://pith.science/pith/DJHL7MIPIZBGOLSGSZXBHBJ3JY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DJHL7MIPIZBGOLSGSZXBHBJ3JY/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":"2026-05-26T08:20:29Z","links":{"resolver":"https://pith.science/pith/DJHL7MIPIZBGOLSGSZXBHBJ3JY","bundle":"https://pith.science/pith/DJHL7MIPIZBGOLSGSZXBHBJ3JY/bundle.json","state":"https://pith.science/pith/DJHL7MIPIZBGOLSGSZXBHBJ3JY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DJHL7MIPIZBGOLSGSZXBHBJ3JY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DJHL7MIPIZBGOLSGSZXBHBJ3JY","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":"dee235fbd57a2eba0067174f5fd3e7e82aea37aa5188b4f8bd1981e52ab7108d","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-05-03T18:15:48Z","title_canon_sha256":"e82e82dd99c4e6dbd8086bed580d6ce47fbf819a221898a5d14cc4d71125d4f7"},"schema_version":"1.0","source":{"id":"1705.01570","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01570","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01570v1","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01570","created_at":"2026-05-18T00:45:04Z"},{"alias_kind":"pith_short_12","alias_value":"DJHL7MIPIZBG","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DJHL7MIPIZBGOLSG","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DJHL7MIP","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:b0a4276a7bf207872ac423769048907c502f5502e0bec125e6c67c7bc837b1fc","target":"graph","created_at":"2026-05-18T00:45:04Z","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":"This paper develops a recent line of economic theory seeking to understand public goods economies using methods of topological analysis. Our first main result is a very clean characterization of the economy's core (the standard solution concept in public goods). Specifically, we prove that a point is in the core iff it is Pareto efficient, individually rational, and the set of points it dominates is path connected.\n  While this structural theorem has a few interesting implications in economic theory, the main focus of the second part of this paper is on a particular algorithmic application tha","authors_text":"Greg Bodwin","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-05-03T18:15:48Z","title":"Testing Core Membership in Public Goods Economies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01570","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:b25bd2b8b4be7c6e2e624de192e656a5fc609e81f6e318bd1b531cfb0b753e1a","target":"record","created_at":"2026-05-18T00:45:04Z","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":"dee235fbd57a2eba0067174f5fd3e7e82aea37aa5188b4f8bd1981e52ab7108d","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-05-03T18:15:48Z","title_canon_sha256":"e82e82dd99c4e6dbd8086bed580d6ce47fbf819a221898a5d14cc4d71125d4f7"},"schema_version":"1.0","source":{"id":"1705.01570","kind":"arxiv","version":1}},"canonical_sha256":"1a4ebfb10f4642672e46966e13853b4e3990a71d4ff9c9052096f9b6e1f27dda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a4ebfb10f4642672e46966e13853b4e3990a71d4ff9c9052096f9b6e1f27dda","first_computed_at":"2026-05-18T00:45:04.639927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:04.639927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qD3Bm9rI/nSsI3i64m3SwQr3zOGbq6ednVSOdFiK5YqB9ecYIGOniWCa2gKByKI2yViNfhdXg5tyUBp0drdlDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:04.640283Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.01570","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b25bd2b8b4be7c6e2e624de192e656a5fc609e81f6e318bd1b531cfb0b753e1a","sha256:b0a4276a7bf207872ac423769048907c502f5502e0bec125e6c67c7bc837b1fc"],"state_sha256":"0eb94ff99bf33178b87881814ae8f9fde4d94dce2fa09050e4dad17b5b53c3c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dUHwzRm/nVKEaowCBFFpk9HuV1Z/1Raj8LPX9MT4o1EtyZzGGzn9PxueRvXt3+Rb3xe1V7kDMo3EbJktrqHLAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T08:20:29.224598Z","bundle_sha256":"ba7aa987da7d984a9c21a33e0a3f2d46dd4f017ed8db26205cc0bf517b6748c1"}}