Pith Number

pith:Z27JIVVI

pith:2017:Z27JIVVIZX72T6DNOWKQ5MEGA7

not attested not anchored not stored refs pending

Steering the distribution of agents in mean-field and cooperative games

Michele Pavon, Tryphon T. Georgiou, Yongxin Chen

arxiv:1712.03578 v1 · 2017-12-10 · cs.SY · 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{Z27JIVVIZX72T6DNOWKQ5MEGA7}

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	2026-05-18T00:28:20.749890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cebe9456a8cdffa9f86d75950eb08607ea2ff924a3ad47c1024830fbb927212c

Aliases

arxiv: 1712.03578 · arxiv_version: 1712.03578v1 · doi: 10.48550/arxiv.1712.03578 · pith_short_12: Z27JIVVIZX72 · pith_short_16: Z27JIVVIZX72T6DN · pith_short_8: Z27JIVVI

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/Z27JIVVIZX72T6DNOWKQ5MEGA7 \
  | 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: cebe9456a8cdffa9f86d75950eb08607ea2ff924a3ad47c1024830fbb927212c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6979cad002d63b328560e61b8cef7098b64090104cf5fb17eca3cc389b03900",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2017-12-10T19:41:24Z",
    "title_canon_sha256": "8891a1baa7c651ac0dbeaeb92e7b228ab15ca0ede42786f5b1beda6fc9aa23ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03578",
    "kind": "arxiv",
    "version": 1
  }
}