Pith Number

pith:33GMT76R

pith:2017:33GMT76RHASKNFGJI2AM53XZTY

not attested not anchored not stored refs pending

Quadratic Mean Field Games

Denis Ullmo, Igor Swiecicki, Thierry Gobron

arxiv:1708.07730 v2 · 2017-08-25 · physics.soc-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33GMT76RHASKNFGJI2AM53XZTY}

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	2026-05-18T00:08:27.255928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deccc9ffd13824a694c94680ceeef99e1aa7e5ba504715a0c3859cd7cf755361

Aliases

arxiv: 1708.07730 · arxiv_version: 1708.07730v2 · doi: 10.48550/arxiv.1708.07730 · pith_short_12: 33GMT76RHASK · pith_short_16: 33GMT76RHASKNFGJ · pith_short_8: 33GMT76R

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/33GMT76RHASKNFGJI2AM53XZTY \
  | 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: deccc9ffd13824a694c94680ceeef99e1aa7e5ba504715a0c3859cd7cf755361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3724062999f0fbc099b354579bd3aef750b7eaeddc41c0db8ede1e1b92651729",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2017-08-25T13:34:30Z",
    "title_canon_sha256": "e1e3246004dcc67e88ea877e9dc98669be36aad895f6afbdf02da19bf8b4f537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07730",
    "kind": "arxiv",
    "version": 2
  }
}