Pith Number

pith:QVR7VQ4O

pith:2023:QVR7VQ4OY55UCQ2KKKBYNBLHGL

not attested not anchored not stored refs pending

Quantitative convergence in relative entropy for a moderately interacting particle system on $\mathbb{R}^d$

Alexandra Holzinger, Li Chen, Xiaokai Huo

arxiv:2311.01980 v2 · 2023-11-03 · 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{QVR7VQ4OY55UCQ2KKKBYNBLHGL}

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.

Receipt and verification

First computed	2026-07-05T08:20:08.350944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8563fac38ec77b41434a528386856732dbdb3721e08476b38ee115ec4435a445

Aliases

arxiv: 2311.01980 · arxiv_version: 2311.01980v2 · doi: 10.48550/arxiv.2311.01980 · pith_short_12: QVR7VQ4OY55U · pith_short_16: QVR7VQ4OY55UCQ2K · pith_short_8: QVR7VQ4O

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/QVR7VQ4OY55UCQ2KKKBYNBLHGL \
  | 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: 8563fac38ec77b41434a528386856732dbdb3721e08476b38ee115ec4435a445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a5eac90c1b92ec3c7a934b6ca90b9c027fedf211aca5aeb2a2fe9cfc1799174",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-11-03T15:34:01Z",
    "title_canon_sha256": "0cb5dd1570b84e2490ba399f81e859a2822b36bb6f6e7544bb5ec14e4fa87d5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.01980",
    "kind": "arxiv",
    "version": 2
  }
}