Pith Number

pith:TGNXOB6Q

pith:2024:TGNXOB6QHKILPDRBXTYJIFLQJR

not attested not anchored not stored refs pending

Noise through an additional variable for mean field games master equation on finite state space

Charles Bertucci (CMAP), Charles Meynard (CMAP)

arxiv:2402.05635 v2 · 2024-02-08 · 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{TGNXOB6QHKILPDRBXTYJIFLQJR}

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.

Cited by

1 paper in Pith

Growth model with externalities for energetic transition via MFG with common external variable

Receipt and verification

First computed	2026-07-05T07:52:15.753664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

999b7707d03a90b78e21bcf09415704c6960e670a3df97534a68f9160010b2a8

Aliases

arxiv: 2402.05635 · arxiv_version: 2402.05635v2 · doi: 10.48550/arxiv.2402.05635 · pith_short_12: TGNXOB6QHKIL · pith_short_16: TGNXOB6QHKILPDRB · pith_short_8: TGNXOB6Q

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/TGNXOB6QHKILPDRBXTYJIFLQJR \
  | 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: 999b7707d03a90b78e21bcf09415704c6960e670a3df97534a68f9160010b2a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9fb43ec8bf2d432a9e8394c2e685ed5c042268b9807306c3ce9d93092fe400",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-08T12:46:37Z",
    "title_canon_sha256": "13661e919570b4f4d6bddb4a478c797a2c4dabe94d3605420bca41615bba7de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.05635",
    "kind": "arxiv",
    "version": 2
  }
}