Pith Number

pith:OFDIGVOI

pith:2026:OFDIGVOIZKHVPYN7HI5RL6BWJ2

not attested not anchored not stored refs pending

A Simple Method for School Choice Lotteries

Yasunori Okumura

The ETE reassignment applied to any constrained efficient stable matching produces an ex ante stable school choice lottery that satisfies equal treatment of equals and is not ordinally dominated by any other such lottery.

arxiv:2605.06721 v2 · 2026-05-07 · cs.GT · econ.TH

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\usepackage{pith}
\pithnumber{OFDIGVOIZKHVPYN7HI5RL6BWJ2}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The method applies the ETE reassignment to a constrained efficient stable matching and yields a lottery that is not ordinally dominated by any other ex ante stable lottery.

C2weakest assumption

That the ETE reassignment applied to any constrained efficient stable matching produces an ex ante stable lottery satisfying equal treatment of equals without further restrictions on the preference or priority structure.

C3one line summary

A polynomial-time method constructs an ex ante stable school-choice lottery with equal treatment of equals by reassigning from a constrained efficient stable matching, yielding a lottery not ordinally dominated by any other ex ante stable lottery.

Receipt and verification

First computed	2026-06-12T01:09:28.864573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71468355c8ca8f57e1bf3a3b15f8364eb7f60a01dc14cdc14c95b696f13f692b

Aliases

arxiv: 2605.06721 · arxiv_version: 2605.06721v2 · doi: 10.48550/arxiv.2605.06721 · pith_short_12: OFDIGVOIZKHV · pith_short_16: OFDIGVOIZKHVPYN7 · pith_short_8: OFDIGVOI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OFDIGVOIZKHVPYN7HI5RL6BWJ2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 71468355c8ca8f57e1bf3a3b15f8364eb7f60a01dc14cdc14c95b696f13f692b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efef85699f33d6cd3d889e1939380a6868915ad0c0b106539676e6ce6606d746",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-05-07T07:06:05Z",
    "title_canon_sha256": "5db407223cee386410c030196075dd55cbc4cdd63a5c74e4b275b7b347644add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.06721",
    "kind": "arxiv",
    "version": 2
  }
}