Pith Number

pith:6H3MVGEQ

pith:2016:6H3MVGEQ4ZLJHOPGYFVO4NYDSO

not attested not anchored not stored refs pending

The self-normalized Donsker theorem revisited

Peter Parczewski

arxiv:1609.09283 v3 · 2016-09-29 · 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{6H3MVGEQ4ZLJHOPGYFVO4NYDSO}

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	2026-05-18T00:31:51.859032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f6ca9890e65693b9e6c16aee370393b3efa0adf48c7eb087c6773092cec994

Aliases

arxiv: 1609.09283 · arxiv_version: 1609.09283v3 · doi: 10.48550/arxiv.1609.09283 · pith_short_12: 6H3MVGEQ4ZLJ · pith_short_16: 6H3MVGEQ4ZLJHOPG · pith_short_8: 6H3MVGEQ

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/6H3MVGEQ4ZLJHOPGYFVO4NYDSO \
  | 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: f1f6ca9890e65693b9e6c16aee370393b3efa0adf48c7eb087c6773092cec994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9366b67c5a10a41a12925d69e6effc0abe02b51a2bad9a0058cb57119d652c91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-29T10:08:55Z",
    "title_canon_sha256": "9579bdb834a49137415431d627846801434a4747c1136665d74df113ce6c8c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09283",
    "kind": "arxiv",
    "version": 3
  }
}