Pith Number

pith:7CGIKUOF

pith:2023:7CGIKUOFWEHQY6G3JI7JC3W32Z

not attested not anchored not stored refs pending

MFGLib: A Library for Mean-Field Games

Anran Hu, Junzi Zhang, Mahan Tajrobehkar, Matteo Santamaria, Xin Guo

arxiv:2304.08630 v2 · 2023-04-17 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CGIKUOFWEHQY6G3JI7JC3W32Z}

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	2026-07-05T12:03:41.530748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88c8551c5b10f0c78db4a3e916edbd6503218f8afca28761a898f24f043908e

Aliases

arxiv: 2304.08630 · arxiv_version: 2304.08630v2 · doi: 10.48550/arxiv.2304.08630 · pith_short_12: 7CGIKUOFWEHQ · pith_short_16: 7CGIKUOFWEHQY6G3 · pith_short_8: 7CGIKUOF

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/7CGIKUOFWEHQY6G3JI7JC3W32Z \
  | 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: f88c8551c5b10f0c78db4a3e916edbd6503218f8afca28761a898f24f043908e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7b35e3095fcdffe4ef73c482593efa6f69f02dd3fc8dc048cb990bae3107208",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2023-04-17T21:54:22Z",
    "title_canon_sha256": "b35d8fa4a6c88310ebbbd2ecc37ce568044dd51dbcd43a794fc8ae958264509a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.08630",
    "kind": "arxiv",
    "version": 2
  }
}