Pith Number

pith:ZF4VHUNR

pith:2016:ZF4VHUNR74ZDFNEVVF2HFYUKGD

not attested not anchored not stored refs pending

A Note on Nonconvex Mean Field Games

Hung Vinh Tran

arxiv:1612.04725 v1 · 2016-12-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZF4VHUNR74ZDFNEVVF2HFYUKGD}

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	2026-05-18T00:54:58.736784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97953d1b1ff3232b495a97472e28a30f39011bfc5725a5638d7a5033afc6db2

Aliases

arxiv: 1612.04725 · arxiv_version: 1612.04725v1 · doi: 10.48550/arxiv.1612.04725 · pith_short_12: ZF4VHUNR74ZD · pith_short_16: ZF4VHUNR74ZDFNEV · pith_short_8: ZF4VHUNR

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/ZF4VHUNR74ZDFNEVVF2HFYUKGD \
  | 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: c97953d1b1ff3232b495a97472e28a30f39011bfc5725a5638d7a5033afc6db2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b936a9943fb9fa637196709c9453ac506bec3660095616af108c6a87d59673cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-14T17:04:45Z",
    "title_canon_sha256": "232ba5d15714f724a037e922822e0781637569228f03423a620e1d68e3c216f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04725",
    "kind": "arxiv",
    "version": 1
  }
}