Pith Number

pith:ZJTQJ4VP

pith:2015:ZJTQJ4VPEG7IYO7DWDH26JK2TE

not attested not anchored not stored refs pending

Regularity for second order stationary mean-field games

Edgard A. Pimentel, Vardan Voskanyan

arxiv:1503.06445 v1 · 2015-03-22 · 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{ZJTQJ4VPEG7IYO7DWDH26JK2TE}

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	2026-05-18T02:20:38.399849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca6704f2af21be8c3be3b0cfaf255a99261c5728e232e2008194eddd151cc9ab

Aliases

arxiv: 1503.06445 · arxiv_version: 1503.06445v1 · doi: 10.48550/arxiv.1503.06445 · pith_short_12: ZJTQJ4VPEG7I · pith_short_16: ZJTQJ4VPEG7IYO7D · pith_short_8: ZJTQJ4VP

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/ZJTQJ4VPEG7IYO7DWDH26JK2TE \
  | 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: ca6704f2af21be8c3be3b0cfaf255a99261c5728e232e2008194eddd151cc9ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f92bf2385bb3e40b546f82d7693f8d1c1a1efb1c968ddd68486089292e554500",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-22T17:10:47Z",
    "title_canon_sha256": "47cfc5c1926a0a8e38385a9d83008537a43fdffdf153e8885a2c6feae2188bda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06445",
    "kind": "arxiv",
    "version": 1
  }
}