Pith Number

pith:JEQG3SRU

pith:2026:JEQG3SRUBGU4DFQ5QONLL5WREE

not attested not anchored not stored refs pending

Hardness of Approximate Hylland-Zeckhauser Equilibria

Chenghan Zhou, Eric Xue, Jingyi Liu, Mark Braverman

arxiv:2606.00951 v1 · 2026-05-31 · cs.GT · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEQG3SRUBGU4DFQ5QONLL5WREE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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.

Receipt and verification

First computed	2026-06-02T01:04:10.248216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49206dca3409a9c1961d839ab5f6d1213bd9fcf533e7a19ce3630400f412c9cc

Aliases

arxiv: 2606.00951 · arxiv_version: 2606.00951v1 · doi: 10.48550/arxiv.2606.00951 · pith_short_12: JEQG3SRUBGU4 · pith_short_16: JEQG3SRUBGU4DFQ5 · pith_short_8: JEQG3SRU

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/JEQG3SRUBGU4DFQ5QONLL5WREE \
  | 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: 49206dca3409a9c1961d839ab5f6d1213bd9fcf533e7a19ce3630400f412c9cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741704cf170c15004ab04040bef5091f79b3d0907cec2ac9956127cb9b77d26a",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-05-31T02:05:21Z",
    "title_canon_sha256": "b3c02fcef12f216a7d6ff1011d65aba8a1063e50b9a294392b8bb8db097e5fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00951",
    "kind": "arxiv",
    "version": 1
  }
}