Pith Number

pith:IXIE5CYK

pith:2016:IXIE5CYK5QQGXD64XYNMTPQ75Z

not attested not anchored not stored refs pending

One-dimensional stationary mean-field games with local coupling

Diogo A. Gomes, Levon Nurbekyan, Mariana Prazeres

arxiv:1611.08161 v2 · 2016-11-24 · 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{IXIE5CYK5QQGXD64XYNMTPQ75Z}

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	2026-05-18T00:56:30.234381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d04e8b0aec206b8fdcbe1ac9be1fee4b82cfb15597bde5a13784f77f4ff940

Aliases

arxiv: 1611.08161 · arxiv_version: 1611.08161v2 · doi: 10.48550/arxiv.1611.08161 · pith_short_12: IXIE5CYK5QQG · pith_short_16: IXIE5CYK5QQGXD64 · pith_short_8: IXIE5CYK

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/IXIE5CYK5QQGXD64XYNMTPQ75Z \
  | 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: 45d04e8b0aec206b8fdcbe1ac9be1fee4b82cfb15597bde5a13784f77f4ff940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "402386aac054a28429463a6fab098a4550dbdc6ee18be3f03717f29a185a57e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-24T12:08:25Z",
    "title_canon_sha256": "624ddcb8fb5739033b206956ac45c018c2ecc1c00042edfc176565d1e4c67721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08161",
    "kind": "arxiv",
    "version": 2
  }
}