Pith Number

pith:NHWPNVLG

pith:2012:NHWPNVLG32LUR5MQDL3GMLXWAS

not attested not anchored not stored refs pending

On the Cs\'aki-Vincze transformation

Hatem Hajri

arxiv:1209.0189 v2 · 2012-09-02 · 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{NHWPNVLG32LUR5MQDL3GMLXWAS}

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	2026-05-18T03:45:31.312841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ecf6d566de9748f5901af6662ef604ac1f0ac4effba59ea107b1177af0a462

Aliases

arxiv: 1209.0189 · arxiv_version: 1209.0189v2 · doi: 10.48550/arxiv.1209.0189 · pith_short_12: NHWPNVLG32LU · pith_short_16: NHWPNVLG32LUR5MQ · pith_short_8: NHWPNVLG

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/NHWPNVLG32LUR5MQDL3GMLXWAS \
  | 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: 69ecf6d566de9748f5901af6662ef604ac1f0ac4effba59ea107b1177af0a462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd593dade4cd30652e7c8280a1fd94f23f804a4f577eb9db69a1c0c615d93c86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-02T16:45:59Z",
    "title_canon_sha256": "dbc773f20d8cebe17dd1169981e17f970552ca323db420cdffe738e7cbd1bc81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0189",
    "kind": "arxiv",
    "version": 2
  }
}