Pith Number

pith:HCZZ7Q7U

pith:2012:HCZZ7Q7UO2ILW3XZ3IGMFHZLE6

not attested not anchored not stored refs pending

Risk-Sensitive Mean Field Games

Hamidou Tembine, Quanyan Zhu, Tamer Basar

arxiv:1210.2806 v1 · 2012-10-10 · math.OC · cs.GT · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCZZ7Q7UO2ILW3XZ3IGMFHZLE6}

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	2026-05-18T03:43:31.485795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38b39fc3f47690bb6ef9da0cc29f2b278bea017680260014d384cee5ece0a36f

Aliases

arxiv: 1210.2806 · arxiv_version: 1210.2806v1 · doi: 10.48550/arxiv.1210.2806 · pith_short_12: HCZZ7Q7UO2IL · pith_short_16: HCZZ7Q7UO2ILW3XZ · pith_short_8: HCZZ7Q7U

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/HCZZ7Q7UO2ILW3XZ3IGMFHZLE6 \
  | 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: 38b39fc3f47690bb6ef9da0cc29f2b278bea017680260014d384cee5ece0a36f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b87032bb356260afe825a117350d6611347f4a52ecfc23dc95ce8887cee601f5",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-10T05:29:07Z",
    "title_canon_sha256": "07dfd89b8d6dcedb83f692984854a232adaef463cdbaf8ef2a55573b61c51a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2806",
    "kind": "arxiv",
    "version": 1
  }
}