Pith Number

pith:BIWYKAZ3

pith:2016:BIWYKAZ3OKGLLTFDDCNT3A2NLC

not attested not anchored not stored refs pending

Weakly coupled mean-field game systems

Diogo A. Gomes, Stefania Patrizi

arxiv:1610.00204 v1 · 2016-10-01 · 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{BIWYKAZ3OKGLLTFDDCNT3A2NLC}

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	2026-05-18T01:03:31.636922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a2d85033b728cb5cca3189b3d834d589cdec7ddaeb4968abb291e638daf8b0e

Aliases

arxiv: 1610.00204 · arxiv_version: 1610.00204v1 · doi: 10.48550/arxiv.1610.00204 · pith_short_12: BIWYKAZ3OKGL · pith_short_16: BIWYKAZ3OKGLLTFD · pith_short_8: BIWYKAZ3

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/BIWYKAZ3OKGLLTFDDCNT3A2NLC \
  | 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: 0a2d85033b728cb5cca3189b3d834d589cdec7ddaeb4968abb291e638daf8b0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c5d64739c425d66ec49791f957b6211101da0279b52ad6009fabf09317cf1eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-01T23:25:45Z",
    "title_canon_sha256": "795a5358b1f975c11148aa703591fe100bcec4496c1b88268287c2eeccb7fda5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00204",
    "kind": "arxiv",
    "version": 1
  }
}