Pith Number

pith:M7S4GN22

pith:2018:M7S4GN22ZLYCZ7TRMKSTNVFGBI

not attested not anchored not stored refs pending

A Class of Infinite Horizon Mean Field Games on Networks

Manh-Khang Dao (IRMAR), Nicoletta Tchou (IRMAR), Olivier Ley (IRMAR), Yves Achdou (LJLL)

arxiv:1805.11290 v1 · 2018-05-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7S4GN22ZLYCZ7TRMKSTNVFGBI}

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	2026-05-18T00:14:43.055553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e5c3375acaf02cfe7162a536d4a60a2eb687acf4b78966e4105dc20ba129de

Aliases

arxiv: 1805.11290 · arxiv_version: 1805.11290v1 · doi: 10.48550/arxiv.1805.11290 · pith_short_12: M7S4GN22ZLYC · pith_short_16: M7S4GN22ZLYCZ7TR · pith_short_8: M7S4GN22

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/M7S4GN22ZLYCZ7TRMKSTNVFGBI \
  | 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: 67e5c3375acaf02cfe7162a536d4a60a2eb687acf4b78966e4105dc20ba129de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ff660f2ec13b65033548b33edd91095273e1d15fc101a4081a9d41d47111bea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-29T08:05:44Z",
    "title_canon_sha256": "62aa0c71b0761c7ea20470061d48cf554a8ab07f54422d0e247cb599337fc9d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11290",
    "kind": "arxiv",
    "version": 1
  }
}