Pith Number

pith:CMRGA3ZT

pith:2025:CMRGA3ZTJA4UMF2SGBRKDIF5BU

not attested not anchored not stored refs pending

Central limit theorem for $\epsilon$-independent products and higher-order tensors

Guillaume C\'ebron, Patrick Oliveira Santos, Pierre Youssef

arxiv:2504.10059 v1 · 2025-04-14 · 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{CMRGA3ZTJA4UMF2SGBRKDIF5BU}

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

Khintchine inequalities, trace monoids and Tur\'an-type problems

Receipt and verification

First computed	2026-07-05T10:48:47.126474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1322606f3348394617523062a1a0bd0d06993c9e9e130d01caf30b5dcf0c87b2

Aliases

arxiv: 2504.10059 · arxiv_version: 2504.10059v1 · doi: 10.48550/arxiv.2504.10059 · pith_short_12: CMRGA3ZTJA4U · pith_short_16: CMRGA3ZTJA4UMF2S · pith_short_8: CMRGA3ZT

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/CMRGA3ZTJA4UMF2SGBRKDIF5BU \
  | 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: 1322606f3348394617523062a1a0bd0d06993c9e9e130d01caf30b5dcf0c87b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49727f3363a5c5ec2ac5368ce5507cc34de1efbd0f250cbd91c190e180610d59",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-04-14T10:02:14Z",
    "title_canon_sha256": "43e150d2cf95e4484edf7ad74b58b42ea92a191b170c98ffb231d0f6d630974e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.10059",
    "kind": "arxiv",
    "version": 1
  }
}