Pith Number

pith:6I3YUWGG

pith:2025:6I3YUWGG5XLQLMX2KJEJVDFHKF

not attested not anchored not stored refs pending

Mean Field Games of Control and Cryptocurrency Mining

H. Mete Soner, Nicolas Garcia, Ronnie Sircar

arxiv:2504.15526 v1 · 2025-04-22 · 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{6I3YUWGG5XLQLMX2KJEJVDFHKF}

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	2026-07-05T10:52:26.019671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2378a58c6edd705b2fa52489a8ca7515237f63a0873a303093f0587f8aa3d0f

Aliases

arxiv: 2504.15526 · arxiv_version: 2504.15526v1 · doi: 10.48550/arxiv.2504.15526 · pith_short_12: 6I3YUWGG5XLQ · pith_short_16: 6I3YUWGG5XLQLMX2 · pith_short_8: 6I3YUWGG

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/6I3YUWGG5XLQLMX2KJEJVDFHKF \
  | 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: f2378a58c6edd705b2fa52489a8ca7515237f63a0873a303093f0587f8aa3d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a630c95e19567e28b973c6e10eceeed6c5be154bd955fff9d3257217b054fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-04-22T02:05:29Z",
    "title_canon_sha256": "ccbb9eea145befaca40736adfc1ead2e9d5e8ec8f3013637d6f446e899db31b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.15526",
    "kind": "arxiv",
    "version": 1
  }
}