Pith Number

pith:2P2LSWOI

pith:2018:2P2LSWOI46BYGWC4FGGG4CAWSU

not attested not anchored not stored refs pending

An ergodic problem for Mean Field Games: qualitative properties and numerical simulations

Annalisa Cesaroni, Claudio Marchi, Fabio Camilli, Simone Cacace

arxiv:1801.08828 v1 · 2018-01-26 · 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{2P2LSWOI46BYGWC4FGGG4CAWSU}

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	2026-05-18T00:25:02.921824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3f4b959c8e78383585c298c6e08169536dcd6cdd5ee94a7530a1b5b350ff98b

Aliases

arxiv: 1801.08828 · arxiv_version: 1801.08828v1 · doi: 10.48550/arxiv.1801.08828 · pith_short_12: 2P2LSWOI46BY · pith_short_16: 2P2LSWOI46BYGWC4 · pith_short_8: 2P2LSWOI

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/2P2LSWOI46BYGWC4FGGG4CAWSU \
  | 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: d3f4b959c8e78383585c298c6e08169536dcd6cdd5ee94a7530a1b5b350ff98b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b64d87e8a5d12c891d29b96b689d4146fac1682f270a50b2f7dee6a128c7b02e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-26T14:39:12Z",
    "title_canon_sha256": "2f2efb1f19e5d7ee007b240656c955a4d7fcb0e37d90e5b69ee2695a3f9404d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08828",
    "kind": "arxiv",
    "version": 1
  }
}