Pith Number

pith:2XJ2M472

pith:2024:2XJ2M47274AODSI53XRVCZIAFH

not attested not anchored not stored refs pending

A study of common noise in mean field games

Charles Bertucci (CMAP), Charles Meynard (CMAP)

arxiv:2412.12741 v1 · 2024-12-17 · 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{2XJ2M47274AODSI53XRVCZIAFH}

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	2026-07-05T09:50:19.995090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d3a673faff00e1c91ddde351650029cb9872c187d73912e8e8310239e4645f

Aliases

arxiv: 2412.12741 · arxiv_version: 2412.12741v1 · doi: 10.48550/arxiv.2412.12741 · pith_short_12: 2XJ2M47274AO · pith_short_16: 2XJ2M47274AODSI5 · pith_short_8: 2XJ2M472

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/2XJ2M47274AODSI53XRVCZIAFH \
  | 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: d5d3a673faff00e1c91ddde351650029cb9872c187d73912e8e8310239e4645f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9503a9d13a1a2944d6dd32a70af64850215f1788b94f7048dfe27e9603637f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-17T10:04:50Z",
    "title_canon_sha256": "d5c83ffb588d6e75fc00709f25f9d02e19019fa32540d4ee9982cf30235c4967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12741",
    "kind": "arxiv",
    "version": 1
  }
}