Pith Number

pith:QCS3XMOM

pith:2021:QCS3XMOM322W7JFV24QIXKUFPR

not attested not anchored not stored refs pending

Propagation of chaos: a review of models, methods and applications. II. Applications

Antoine Diez, Louis-Pierre Chaintron

arxiv:2106.14812 v4 · 2021-06-28 · math.PR · math-ph · math.AP · math.HO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCS3XMOM322W7JFV24QIXKUFPR}

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

3 papers in Pith

Multiscale Nudging: From Macroscopic Observations to Microscopic Dynamics

Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation

MVNN: A Measure-Valued Neural Network for Learning McKean-Vlasov Dynamics from Particle Data

Receipt and verification

First computed	2026-07-05T05:41:14.705469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a5bbb1ccdeb56fa4b5d7208baa857c45be012c6888810ae5212a1966859af6

Aliases

arxiv: 2106.14812 · arxiv_version: 2106.14812v4 · doi: 10.48550/arxiv.2106.14812 · pith_short_12: QCS3XMOM322W · pith_short_16: QCS3XMOM322W7JFV · pith_short_8: QCS3XMOM

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/QCS3XMOM322W7JFV24QIXKUFPR \
  | 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: 80a5bbb1ccdeb56fa4b5d7208baa857c45be012c6888810ae5212a1966859af6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d2d528181e25fdefa97b07dbf4c7654d00d66b9e6a24040d1226a7a72426386",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.HO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-06-28T15:34:05Z",
    "title_canon_sha256": "84db2b5bce003621581298d331565a55041a3ded74fc14ee86176ddc71b0650c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.14812",
    "kind": "arxiv",
    "version": 4
  }
}