Pith Number

pith:XSFRPC74

pith:2024:XSFRPC74XTVEJU7Y75CN2UPO2J

not attested not anchored not stored refs pending

Propagation of Chaos for 2D Log Gas on the Whole Space

Shuzhe Cai, Xuanrui Feng, Yun Gong, Zhenfu Wang

arxiv:2411.14777 v1 · 2024-11-22 · 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{XSFRPC74XTVEJU7Y75CN2UPO2J}

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 2D stochastic vortex model on the whole space under moderate interactions

Receipt and verification

First computed	2026-07-05T09:39:11.748517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc8b178bfcbcea44d3f8ff44dd51eed24a8d04d3e2b71129b3481184605a312d

Aliases

arxiv: 2411.14777 · arxiv_version: 2411.14777v1 · doi: 10.48550/arxiv.2411.14777 · pith_short_12: XSFRPC74XTVE · pith_short_16: XSFRPC74XTVEJU7Y · pith_short_8: XSFRPC74

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/XSFRPC74XTVEJU7Y75CN2UPO2J \
  | 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: bc8b178bfcbcea44d3f8ff44dd51eed24a8d04d3e2b71129b3481184605a312d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d52cacbc83e48605386567deb219d669516d3022aec050395b2690265640ae44",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-22T07:44:23Z",
    "title_canon_sha256": "f07058cd0ca8386d47552438ec9399405a8895c64ded7c2081377400aba8a0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14777",
    "kind": "arxiv",
    "version": 1
  }
}