Pith Number

pith:NOWJ6QSR

pith:2014:NOWJ6QSRANJIZWALBOZZBLW2LA

not attested not anchored not stored refs pending

A Probabilistic Approach to Mean Field Games with Major and Minor Players

Rene Carmona, Xiuneng Zhu

arxiv:1409.7141 v1 · 2014-09-25 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOWJ6QSRANJIZWALBOZZBLW2LA}

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	2026-05-18T02:41:59.056140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bac9f425103528cd80b0bb390aeda58069e54c806f9fcea5eb5d640bfddd591

Aliases

arxiv: 1409.7141 · arxiv_version: 1409.7141v1 · doi: 10.48550/arxiv.1409.7141 · pith_short_12: NOWJ6QSRANJI · pith_short_16: NOWJ6QSRANJIZWAL · pith_short_8: NOWJ6QSR

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/NOWJ6QSRANJIZWALBOZZBLW2LA \
  | 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: 6bac9f425103528cd80b0bb390aeda58069e54c806f9fcea5eb5d640bfddd591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb1c7dc5674d3424d66aa00bfed42b938eba446c15d20c9aaca8b8195e497cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-25T02:51:23Z",
    "title_canon_sha256": "327b0192fa0b80a966c2ca571535560f43981ad518ff1a8dc23fa2707ba6883d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7141",
    "kind": "arxiv",
    "version": 1
  }
}