Pith Number

pith:QYWSHER4

pith:2019:QYWSHER4F7C3GTDNTWONXU3Y2H

not attested not anchored not stored refs pending

Two-scale homogenization of a stationary mean-field game

Diogo Gomes, Rita Ferreira, Xianjin Yang

arxiv:1905.02046 v1 · 2019-05-06 · 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{QYWSHER4F7C3GTDNTWONXU3Y2H}

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	2026-05-17T23:46:56.576422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

862d23923c2fc5b34c6d9d9cdbd378d1ded9fa7e8578d321c572886c0e5195f3

Aliases

arxiv: 1905.02046 · arxiv_version: 1905.02046v1 · doi: 10.48550/arxiv.1905.02046 · pith_short_12: QYWSHER4F7C3 · pith_short_16: QYWSHER4F7C3GTDN · pith_short_8: QYWSHER4

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/QYWSHER4F7C3GTDNTWONXU3Y2H \
  | 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: 862d23923c2fc5b34c6d9d9cdbd378d1ded9fa7e8578d321c572886c0e5195f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebd2fb3e1e5428f588d064bdf09866ea97122b91eceb0f009f140cea31170612",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-06T13:48:51Z",
    "title_canon_sha256": "9c6952667480162d42a12da89b7ee5e0abab44cf2802e5f49dcb95242db4720a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02046",
    "kind": "arxiv",
    "version": 1
  }
}