Pith Number

pith:AOQT4ZOV

pith:2021:AOQT4ZOVQ5K2BM3JK4HWL6N5WY

not attested not anchored not stored refs pending

Gaussian fluctuations for spin systems and point processes: near-optimal rates via quantitative Marcinkiewicz's theorem

Hoang-Son Tran, Manh-Hung Tran, Subhroshekhar Ghosh, Tien-Cuong Dinh

arxiv:2107.08469 v3 · 2021-07-18 · math.PR · cond-mat.stat-mech · math-ph · math.CA · 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{AOQT4ZOVQ5K2BM3JK4HWL6N5WY}

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

2 papers in Pith

Quantitative CLTs for Geometric Statistics of Dependent Marked Point Processes

Limit theory for Lipschitz-localized statistics in random geometric models

Receipt and verification

First computed	2026-07-05T12:11:10.485583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03a13e65d58755a0b369570f65f9bdb628514f18649f8a4312c69889c8ba6373

Aliases

arxiv: 2107.08469 · arxiv_version: 2107.08469v3 · doi: 10.48550/arxiv.2107.08469 · pith_short_12: AOQT4ZOVQ5K2 · pith_short_16: AOQT4ZOVQ5K2BM3J · pith_short_8: AOQT4ZOV

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/AOQT4ZOVQ5K2BM3JK4HWL6N5WY \
  | 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: 03a13e65d58755a0b369570f65f9bdb628514f18649f8a4312c69889c8ba6373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5ed1e1a80ee8c2c81d626ccfc1404a7155bc028c4cfd91b5e5a88fb60a8554",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-07-18T15:02:09Z",
    "title_canon_sha256": "3fc9c7175d2d7538749841a79c14448f01abfb6bcf5017fb96fcc01631453ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.08469",
    "kind": "arxiv",
    "version": 3
  }
}