pith. sign in
Pith Number

pith:U2HLP73V

pith:2011:U2HLP73VLI5FQRSDLMTBBIC4HC
not attested not anchored not stored refs pending

Universality

A.B.J. Kuijlaars

arxiv:1103.5922 v2 · 2011-03-30 · math-ph · math.CV · math.MP · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{U2HLP73VLI5FQRSDLMTBBIC4HC}

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 2026-05-18T02:29:16.250374Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a68eb7ff755a3a5846435b2610a05c3889bdff9b3262bdfea9dd8872ffd4888d

Aliases

arxiv: 1103.5922 · arxiv_version: 1103.5922v2 · doi: 10.48550/arxiv.1103.5922 · pith_short_12: U2HLP73VLI5F · pith_short_16: U2HLP73VLI5FQRSD · pith_short_8: U2HLP73V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/U2HLP73VLI5FQRSDLMTBBIC4HC \
  | 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: a68eb7ff755a3a5846435b2610a05c3889bdff9b3262bdfea9dd8872ffd4888d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6a633655670ba449edd3ad84c0d995901eef0fb7252213e444385ea70790c2c9",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-30T13:31:14Z",
    "title_canon_sha256": "578f489809b72f150b58cd1dcfa82d1a033d549c5d8054f294d887e2cec5e70d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5922",
    "kind": "arxiv",
    "version": 2
  }
}