Pith Number

pith:TVEMH47Y

pith:2018:TVEMH47YK7DW7KXPSDTALJMX2P

not attested not anchored not stored refs pending

Long Time Behavior of First Order Mean Field Games on Euclidean Space

Cristian Mendico, Kaizhi Wang, Piermarco Cannarsa, Wei Cheng

arxiv:1809.09057 v1 · 2018-09-24 · 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{TVEMH47YK7DW7KXPSDTALJMX2P}

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	2026-07-05T00:25:07.610605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d48c3f3f857c76faaef90e605a597d3f2cd4e360df4b0dbbcbf781ac63b1984

Aliases

arxiv: 1809.09057 · arxiv_version: 1809.09057v1 · doi: 10.48550/arxiv.1809.09057 · pith_short_12: TVEMH47YK7DW · pith_short_16: TVEMH47YK7DW7KXP · pith_short_8: TVEMH47Y

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/TVEMH47YK7DW7KXPSDTALJMX2P \
  | 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: 9d48c3f3f857c76faaef90e605a597d3f2cd4e360df4b0dbbcbf781ac63b1984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c24223699f86328c328e197aa0ba40039052849a2bcf503738f85eb6a56457a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-24T17:03:08Z",
    "title_canon_sha256": "500a26226127f7df1347165c011b9294c14a8161846219aed426aa38e632ecb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09057",
    "kind": "arxiv",
    "version": 1
  }
}