Pith Number

pith:JCROARJI

pith:2018:JCROARJIZLNZCQL7UMRBR3YJVX

not attested not anchored not stored refs pending

Existence of weak solutions to first-order stationary mean-field games with Dirichlet conditions

Diogo Gomes, Rita Ferreira, Teruo Tada

arxiv:1804.07175 v1 · 2018-04-19 · 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{JCROARJIZLNZCQL7UMRBR3YJVX}

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	2026-05-18T00:18:01.183030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48a2e04528cadb91417fa32218ef09adfb7d5cf0dc05980e440ea17e4c56680e

Aliases

arxiv: 1804.07175 · arxiv_version: 1804.07175v1 · doi: 10.48550/arxiv.1804.07175 · pith_short_12: JCROARJIZLNZ · pith_short_16: JCROARJIZLNZCQL7 · pith_short_8: JCROARJI

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/JCROARJIZLNZCQL7UMRBR3YJVX \
  | 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: 48a2e04528cadb91417fa32218ef09adfb7d5cf0dc05980e440ea17e4c56680e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c4623283f820763910c563315d8f6fe4191d2be7a1c7672fd7b0b8f77ccbbd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-19T13:55:32Z",
    "title_canon_sha256": "1719ce6dba80c42c67999b264429191b36e0a2816c0db342f158569d8dfbe490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07175",
    "kind": "arxiv",
    "version": 1
  }
}