Pith Number

pith:AUPHATRL

pith:2011:AUPHATRLWKXGKNEMJCM7FKBILV

not attested not anchored not stored refs pending

A unitary extension of virtual permutations

A. Nikeghbali, J. Najnudel, P. Bourgade

arxiv:1102.2633 v1 · 2011-02-13 · 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{AUPHATRLWKXGKNEMJCM7FKBILV}

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	2026-05-18T04:28:46.898692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051e704e2bb2ae65348c4899f2a8285d6f5a983070cba5ec7423a79a5a2f0c37

Aliases

arxiv: 1102.2633 · arxiv_version: 1102.2633v1 · doi: 10.48550/arxiv.1102.2633 · pith_short_12: AUPHATRLWKXG · pith_short_16: AUPHATRLWKXGKNEM · pith_short_8: AUPHATRL

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/AUPHATRLWKXGKNEMJCM7FKBILV \
  | 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: 051e704e2bb2ae65348c4899f2a8285d6f5a983070cba5ec7423a79a5a2f0c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "090ed51698c30964af322c719ebc51944796122393d66bea1834fae853e8335e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-13T19:59:31Z",
    "title_canon_sha256": "49612a48c767369c2fd374c9a809c885c1163da0b39088ebdb24e8c3ed4f9894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2633",
    "kind": "arxiv",
    "version": 1
  }
}