Pith Number

pith:KAF7WRAW

pith:2018:KAF7WRAWZQLKOHCD7BHWVM743B

not attested not anchored not stored refs pending

On mean field games models for exhaustible commodities trade

Charafeddine Mouzouni, P. Jameson Graber

arxiv:1807.10344 v3 · 2018-07-26 · 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{KAF7WRAWZQLKOHCD7BHWVM743B}

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	2026-05-17T23:52:41.444444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

500bfb4416cc16a71c43f84f6ab3fcd844b5e5f1bae9a36f888432292372b028

Aliases

arxiv: 1807.10344 · arxiv_version: 1807.10344v3 · doi: 10.48550/arxiv.1807.10344 · pith_short_12: KAF7WRAWZQLK · pith_short_16: KAF7WRAWZQLKOHCD · pith_short_8: KAF7WRAW

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/KAF7WRAWZQLKOHCD7BHWVM743B \
  | 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: 500bfb4416cc16a71c43f84f6ab3fcd844b5e5f1bae9a36f888432292372b028

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63a0197dad1520fd1ac0f8e0bf38019ba387b77806fcb4e90876879b5732d3d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-26T20:14:55Z",
    "title_canon_sha256": "5206e752bbf0794214fc80f91ef53c5d1518d68334eac21a14f0a9df81580bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10344",
    "kind": "arxiv",
    "version": 3
  }
}