Pith Number

pith:TCUUMVIG

pith:2017:TCUUMVIGXT7B22GVYFP2FZONFX

not attested not anchored not stored refs pending

Multivariate central limit theorems for Rademacher functionals with applications

Christoph Thaele, Kai Krokowski

arxiv:1701.07365 v1 · 2017-01-25 · 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{TCUUMVIGXT7B22GVYFP2FZONFX}

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	2026-05-18T00:31:23.908218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a9465506bcfe1d68d5c15fa2e5cd2dca1fd539b7aa3c2543da1672916ea433

Aliases

arxiv: 1701.07365 · arxiv_version: 1701.07365v1 · doi: 10.48550/arxiv.1701.07365 · pith_short_12: TCUUMVIGXT7B · pith_short_16: TCUUMVIGXT7B22GV · pith_short_8: TCUUMVIG

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/TCUUMVIGXT7B22GVYFP2FZONFX \
  | 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: 98a9465506bcfe1d68d5c15fa2e5cd2dca1fd539b7aa3c2543da1672916ea433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ca2f5f3bcaa3d872a706c542e631694b1306ebb50d1db7046bbbf47bbb5b1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-25T16:01:33Z",
    "title_canon_sha256": "bfae6c3a2e42ada669e3ce2ecca254562ab58ed60352a66d64348132b637a82a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07365",
    "kind": "arxiv",
    "version": 1
  }
}