Pith Number

pith:FZJNTXIU

pith:2013:FZJNTXIUU3PT4YIWYZFK4RRF3Z

not attested not anchored not stored refs pending

Time dependent mean-field games in the subquadratic case

Diogo A. Gomes, Edgard Pimentel, H\'ector S\'anchez-Morgado

arxiv:1310.4766 v2 · 2013-10-17 · 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{FZJNTXIUU3PT4YIWYZFK4RRF3Z}

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	2026-05-18T03:06:21.525337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e52d9dd14a6df3e6116c64aae4625de4dc0617ee53d89e3dbedb9e8e395a4c2

Aliases

arxiv: 1310.4766 · arxiv_version: 1310.4766v2 · doi: 10.48550/arxiv.1310.4766 · pith_short_12: FZJNTXIUU3PT · pith_short_16: FZJNTXIUU3PT4YIW · pith_short_8: FZJNTXIU

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/FZJNTXIUU3PT4YIWYZFK4RRF3Z \
  | 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: 2e52d9dd14a6df3e6116c64aae4625de4dc0617ee53d89e3dbedb9e8e395a4c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78079541ce19c406fd17b7250340c5ec75cc3df422f416d6fcc440d92384629f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-17T16:34:23Z",
    "title_canon_sha256": "f3c59edf7bad83087510a7ba312f8c2b918498085ba8c81dbcee32271447b1ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4766",
    "kind": "arxiv",
    "version": 2
  }
}