Pith Number

pith:WQI6PO2X

pith:2024:WQI6PO2XEPICCR2TJ7LDJBMGTD

not attested not anchored not stored refs pending

Entropy on the path space and application to singular diffusions and mean-field models

Patrick Cattiaux (IMT)

arxiv:2404.09552 v2 · 2024-04-15 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQI6PO2XEPICCR2TJ7LDJBMGTD}

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

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

Receipt and verification

First computed	2026-07-05T09:46:46.307124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b411e7bb5723d02147534fd634858698ed6aa181cbba5f869398e5d37106e2d9

Aliases

arxiv: 2404.09552 · arxiv_version: 2404.09552v2 · doi: 10.48550/arxiv.2404.09552 · pith_short_12: WQI6PO2XEPIC · pith_short_16: WQI6PO2XEPICCR2T · pith_short_8: WQI6PO2X

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/WQI6PO2XEPICCR2TJ7LDJBMGTD \
  | 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: b411e7bb5723d02147534fd634858698ed6aa181cbba5f869398e5d37106e2d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb9b77e8fc38ecf18f16b0e9392848745270af786d289b722ed1b150896a657",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-04-15T08:16:43Z",
    "title_canon_sha256": "a5fa2663ee6309e962040fa12e2f67f16ad5b0d1b0922cfbe4086850363db98b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.09552",
    "kind": "arxiv",
    "version": 2
  }
}