{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:CEEV5DSLZSKHGSNY47YAC2NNNI","short_pith_number":"pith:CEEV5DSL","canonical_record":{"source":{"id":"2412.13622","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.GT","submitted_at":"2024-12-18T09:04:01Z","cross_cats_sorted":[],"title_canon_sha256":"16c9bd9d5185c883d745ba58adefcff609db922f59adc2a81613dfdb80b54816","abstract_canon_sha256":"3cb45ac12248f4b636b4292aab175541ee5a125bffe909701b8c169e9612d8c9"},"schema_version":"1.0"},"canonical_sha256":"11095e8e4bcc947349b8e7f00169ad6a1151859ac8888740e17dcdd8d4bcbde1","source":{"kind":"arxiv","id":"2412.13622","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.13622","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"arxiv_version","alias_value":"2412.13622v1","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.13622","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_12","alias_value":"CEEV5DSLZSKH","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_16","alias_value":"CEEV5DSLZSKHGSNY","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_8","alias_value":"CEEV5DSL","created_at":"2026-07-05T09:51:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:CEEV5DSLZSKHGSNY47YAC2NNNI","target":"record","payload":{"canonical_record":{"source":{"id":"2412.13622","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.GT","submitted_at":"2024-12-18T09:04:01Z","cross_cats_sorted":[],"title_canon_sha256":"16c9bd9d5185c883d745ba58adefcff609db922f59adc2a81613dfdb80b54816","abstract_canon_sha256":"3cb45ac12248f4b636b4292aab175541ee5a125bffe909701b8c169e9612d8c9"},"schema_version":"1.0"},"canonical_sha256":"11095e8e4bcc947349b8e7f00169ad6a1151859ac8888740e17dcdd8d4bcbde1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:51:05.316625Z","signature_b64":"DNh2PaMfpRp/DivBtYvb0HzM1yWOZV56oQ96e7G9jHJCxHlcMkGJVabDi3XsAaCDaP9R4OujE8fZqMlDP+jIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11095e8e4bcc947349b8e7f00169ad6a1151859ac8888740e17dcdd8d4bcbde1","last_reissued_at":"2026-07-05T09:51:05.316182Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:51:05.316182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.13622","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":"2026-07-05T09:51:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7CFGPn0Crei/MCO6694kRVfOoygk57dJjpOhj2ChKNUA2I2Agh/494Q2OhqIOeQtaC4Bk+3Tbm1UChPstKRvAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T09:34:06.897866Z"},"content_sha256":"2a3e1a844f91303dd9d972ac996b4f3abbfea58f132fc0b4565be22465b73b86","schema_version":"1.0","event_id":"sha256:2a3e1a844f91303dd9d972ac996b4f3abbfea58f132fc0b4565be22465b73b86"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:CEEV5DSLZSKHGSNY47YAC2NNNI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Achieving Balanced Representation in School Choice with Diversity Goals","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Makoto Yokoo, Zhaohong Sun","submitted_at":"2024-12-18T09:04:01Z","abstract_excerpt":"Student placements under diversity constraints are a common practice globally. This paper addresses the selection of students by a single school under a \\emph{one-to-one convention}, where students can belong to multiple types but are counted only once based on one type. While existing algorithms in economics and computer science aim to help schools meet diversity goals and priorities, we demonstrate that these methods can result in significant imbalances among students with different type combinations.\n  To address this issue, we introduce a new property called \\emph{balanced representation},"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.13622","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.13622/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:51:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bp7uFIN/IQYrHlIJXag4oh5jLSKfGM1trGNYSl4UIACenSw7Po8izNjpRAXOuoDo/8CbPYIOOJDg8volP1bICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T09:34:06.898364Z"},"content_sha256":"47d58051e541ed07dc2aa845ca1ff0b31b69af4486b1a50f210514544044fb12","schema_version":"1.0","event_id":"sha256:47d58051e541ed07dc2aa845ca1ff0b31b69af4486b1a50f210514544044fb12"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CEEV5DSLZSKHGSNY47YAC2NNNI/bundle.json","state_url":"https://pith.science/pith/CEEV5DSLZSKHGSNY47YAC2NNNI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CEEV5DSLZSKHGSNY47YAC2NNNI/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":"2026-08-21T09:34:06Z","links":{"resolver":"https://pith.science/pith/CEEV5DSLZSKHGSNY47YAC2NNNI","bundle":"https://pith.science/pith/CEEV5DSLZSKHGSNY47YAC2NNNI/bundle.json","state":"https://pith.science/pith/CEEV5DSLZSKHGSNY47YAC2NNNI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CEEV5DSLZSKHGSNY47YAC2NNNI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CEEV5DSLZSKHGSNY47YAC2NNNI","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":"3cb45ac12248f4b636b4292aab175541ee5a125bffe909701b8c169e9612d8c9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.GT","submitted_at":"2024-12-18T09:04:01Z","title_canon_sha256":"16c9bd9d5185c883d745ba58adefcff609db922f59adc2a81613dfdb80b54816"},"schema_version":"1.0","source":{"id":"2412.13622","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.13622","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"arxiv_version","alias_value":"2412.13622v1","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.13622","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_12","alias_value":"CEEV5DSLZSKH","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_16","alias_value":"CEEV5DSLZSKHGSNY","created_at":"2026-07-05T09:51:05Z"},{"alias_kind":"pith_short_8","alias_value":"CEEV5DSL","created_at":"2026-07-05T09:51:05Z"}],"graph_snapshots":[{"event_id":"sha256:47d58051e541ed07dc2aa845ca1ff0b31b69af4486b1a50f210514544044fb12","target":"graph","created_at":"2026-07-05T09:51:05Z","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/2412.13622/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Student placements under diversity constraints are a common practice globally. This paper addresses the selection of students by a single school under a \\emph{one-to-one convention}, where students can belong to multiple types but are counted only once based on one type. While existing algorithms in economics and computer science aim to help schools meet diversity goals and priorities, we demonstrate that these methods can result in significant imbalances among students with different type combinations.\n  To address this issue, we introduce a new property called \\emph{balanced representation},","authors_text":"Makoto Yokoo, Zhaohong Sun","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.GT","submitted_at":"2024-12-18T09:04:01Z","title":"Achieving Balanced Representation in School Choice with Diversity Goals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.13622","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":"sha256:2a3e1a844f91303dd9d972ac996b4f3abbfea58f132fc0b4565be22465b73b86","target":"record","created_at":"2026-07-05T09:51:05Z","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":"3cb45ac12248f4b636b4292aab175541ee5a125bffe909701b8c169e9612d8c9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.GT","submitted_at":"2024-12-18T09:04:01Z","title_canon_sha256":"16c9bd9d5185c883d745ba58adefcff609db922f59adc2a81613dfdb80b54816"},"schema_version":"1.0","source":{"id":"2412.13622","kind":"arxiv","version":1}},"canonical_sha256":"11095e8e4bcc947349b8e7f00169ad6a1151859ac8888740e17dcdd8d4bcbde1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11095e8e4bcc947349b8e7f00169ad6a1151859ac8888740e17dcdd8d4bcbde1","first_computed_at":"2026-07-05T09:51:05.316182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:51:05.316182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DNh2PaMfpRp/DivBtYvb0HzM1yWOZV56oQ96e7G9jHJCxHlcMkGJVabDi3XsAaCDaP9R4OujE8fZqMlDP+jIDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:51:05.316625Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.13622","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a3e1a844f91303dd9d972ac996b4f3abbfea58f132fc0b4565be22465b73b86","sha256:47d58051e541ed07dc2aa845ca1ff0b31b69af4486b1a50f210514544044fb12"],"state_sha256":"7c740fd8d43c7b1c962f62c2200d31eedb927fd6cdde9cc741a42e2b19fb8c65"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4mKO8CMoD+e1Agz2ygeYCGXB7vLt6QTHQEK234QBnjmOYsw2aEllBAgs7Hi1xd6yEJhEhLMOoLjZC+xyU/RNBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T09:34:06.902256Z","bundle_sha256":"c2a1d160bc1a4cc0ac9587dd3d7ab9ed524d136aa897956315fa647187e49c36"}}