Pith Number

pith:W2BLKECJ

pith:2026:W2BLKECJUGZ6HDELWR765GDXRF

not attested not anchored not stored refs pending

Envy-free Contracts with Subsidies

Junjie Chen, Matteo Castiglioni, Yingkai Li

arxiv:2606.25431 v1 · 2026-06-24 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2BLKECJUGZ6HDELWR765GDXRF}

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	2026-06-25T01:18:05.181753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b682b51049a1b3e38c8bb47fee98778948c7461f314b392251cfa536b74a3f86

Aliases

arxiv: 2606.25431 · arxiv_version: 2606.25431v1 · doi: 10.48550/arxiv.2606.25431 · pith_short_12: W2BLKECJUGZ6 · pith_short_16: W2BLKECJUGZ6HDEL · pith_short_8: W2BLKECJ

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/W2BLKECJUGZ6HDELWR765GDXRF \
  | 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: b682b51049a1b3e38c8bb47fee98778948c7461f314b392251cfa536b74a3f86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f3511cc7cb69f52573883031fab521ebf9eaa124b3742f5e1c0ead79485b0da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-24T05:50:06Z",
    "title_canon_sha256": "49fd70489e2430624f4c4e2f1bce6fdcf4e8a6a9e46f8bd3af65148daa57fb89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25431",
    "kind": "arxiv",
    "version": 1
  }
}