Pith Number

pith:OOJE2XXE

pith:2016:OOJE2XXEJ3IWD4HWLP3IO4CILJ

not attested not anchored not stored refs pending

On the existence of solutions for stationary mean-field games with congestion

David Evangelista, Diogo A. Gomes

arxiv:1611.08232 v1 · 2016-11-24 · math.AP · 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{OOJE2XXEJ3IWD4HWLP3IO4CILJ}

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	2026-05-18T00:56:39.820119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73924d5ee44ed161f0f65bf68770485a753db65d7f5f8eeefe39c23698cc13b1

Aliases

arxiv: 1611.08232 · arxiv_version: 1611.08232v1 · doi: 10.48550/arxiv.1611.08232 · pith_short_12: OOJE2XXEJ3IW · pith_short_16: OOJE2XXEJ3IWD4HW · pith_short_8: OOJE2XXE

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/OOJE2XXEJ3IWD4HWLP3IO4CILJ \
  | 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: 73924d5ee44ed161f0f65bf68770485a753db65d7f5f8eeefe39c23698cc13b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d54903b0c0a3e51423213a6a372887aae1a7567f02b862e3632d0ea319f3918",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-24T16:00:49Z",
    "title_canon_sha256": "d41e6a03c43506be92a718263ac5f47ec23625febde9d08d1627f7509255b4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08232",
    "kind": "arxiv",
    "version": 1
  }
}