Pith Number

pith:7YTWCP7N

pith:2014:7YTWCP7NUA4JBFDE5F2TJEVTG4

not attested not anchored not stored refs pending

From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem

Adrien Blanchet (GREMAQ), Guillaume Carlier (CEREMADE)

arxiv:1404.5485 v1 · 2014-04-22 · math.AP · 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{7YTWCP7NUA4JBFDE5F2TJEVTG4}

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	2026-05-18T01:43:26.424916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe27613feda038909464e9753492b3373ecdd2b23675945a33a8584c36ce7f69

Aliases

arxiv: 1404.5485 · arxiv_version: 1404.5485v1 · doi: 10.48550/arxiv.1404.5485 · pith_short_12: 7YTWCP7NUA4J · pith_short_16: 7YTWCP7NUA4JBFDE · pith_short_8: 7YTWCP7N

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/7YTWCP7NUA4JBFDE5F2TJEVTG4 \
  | 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: fe27613feda038909464e9753492b3373ecdd2b23675945a33a8584c36ce7f69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "704d7dac6bd1c1519d02d7d4efed4564d08141cf348e5427f30f338a8f0490cc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-22T13:17:58Z",
    "title_canon_sha256": "36f9debd90017a48e96ae41e3541690b9593a34836bf786e0d003bdad6d04b5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5485",
    "kind": "arxiv",
    "version": 1
  }
}