Pith Number

pith:HYATLWRV

pith:2013:HYATLWRVIV6CW4IZJ4APPVIQMT

not attested not anchored not stored refs pending

On the existence of classical solutions for stationary extended mean field games

Diogo A. Gomes, Stefania Patrizi, Vardan Voskanyan

arxiv:1305.2696 v1 · 2013-05-13 · 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{HYATLWRVIV6CW4IZJ4APPVIQMT}

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	2026-05-18T03:25:57.105096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e0135da35457c2b71194f00f7d51064d9fde94dacfbeda8508d44cf1d081ef9

Aliases

arxiv: 1305.2696 · arxiv_version: 1305.2696v1 · doi: 10.48550/arxiv.1305.2696 · pith_short_12: HYATLWRVIV6C · pith_short_16: HYATLWRVIV6CW4IZ · pith_short_8: HYATLWRV

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/HYATLWRVIV6CW4IZJ4APPVIQMT \
  | 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: 3e0135da35457c2b71194f00f7d51064d9fde94dacfbeda8508d44cf1d081ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d17c6c396f8343087f635c6b74475d6d2792f5dfbb9a30916906e6010819c498",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-13T07:48:04Z",
    "title_canon_sha256": "b0abc66298b585e6b51602afc831d978ba7cc8a15294c0755ce380dc988e6760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2696",
    "kind": "arxiv",
    "version": 1
  }
}