Pith Number

pith:NGNGG6GC

pith:2021:NGNGG6GCVUNVSJJFN32FOVKXS4

not attested not anchored not stored refs pending

Particle approximation of one-dimensional Mean-Field-Games with local interactions

Diogo Aguiar Gomes, Marco Di Francesco, Ricardo Ribeiro, Serikbolsyn Duisembay

arxiv:2109.02256 v1 · 2021-09-06 · 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{NGNGG6GCVUNVSJJFN32FOVKXS4}

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	2026-07-05T03:11:40.421675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

699a6378c2ad1b5925256ef457555797006b178a5b61eae1dc8c866cf3862b64

Aliases

arxiv: 2109.02256 · arxiv_version: 2109.02256v1 · doi: 10.48550/arxiv.2109.02256 · pith_short_12: NGNGG6GCVUNV · pith_short_16: NGNGG6GCVUNVSJJF · pith_short_8: NGNGG6GC

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/NGNGG6GCVUNVSJJFN32FOVKXS4 \
  | 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: 699a6378c2ad1b5925256ef457555797006b178a5b61eae1dc8c866cf3862b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235902b34c6360a51eb004851adf5133a282ecd5f2787d72ce05e68b68cb083a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-09-06T06:16:14Z",
    "title_canon_sha256": "f0e876f1e824f3dcee7750dc2f2ec3cd61b1cade6cd6858b3cee7598483ea607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.02256",
    "kind": "arxiv",
    "version": 1
  }
}