Pith Number

pith:3QHJOXST

pith:2011:3QHJOXSTW2O24V6QA3JDPMJ3DL

not attested not anchored not stored refs pending

Quasi-Leontief utility functions on partially ordered sets II: Nash equilibria

Charles Horvath, QiBin Liang, Walter Briec

arxiv:1102.2716 v1 · 2011-02-14 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QHJOXSTW2O24V6QA3JDPMJ3DL}

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	2026-05-18T04:28:46.607478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc0e975e53b69dae57d006d237b13b1adefc182317066842b942a356589f290f

Aliases

arxiv: 1102.2716 · arxiv_version: 1102.2716v1 · doi: 10.48550/arxiv.1102.2716 · pith_short_12: 3QHJOXSTW2O2 · pith_short_16: 3QHJOXSTW2O24V6Q · pith_short_8: 3QHJOXST

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/3QHJOXSTW2O24V6QA3JDPMJ3DL \
  | 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: dc0e975e53b69dae57d006d237b13b1adefc182317066842b942a356589f290f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05779f6d5e7ca770c148d1455ef4de792d0febef2a20716cfe4b3f42b2c2bfbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-02-14T10:01:52Z",
    "title_canon_sha256": "33d1373a292aa6b6287b4fc0e4574b6a0e393c1974c39d135a56e306e217f5b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2716",
    "kind": "arxiv",
    "version": 1
  }
}