pith. sign in
Pith Number

pith:WCQGHIRF

pith:2013:WCQGHIRFO6BRK2BQONGDBY2JVI
not attested not anchored not stored refs pending

Tree-based Arithmetic and Compressed Representations of Giant Numbers

Paul Tarau

arxiv:1301.0114 v1 · 2013-01-01 · cs.PL · cs.DM · cs.DS · cs.MS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WCQGHIRFO6BRK2BQONGDBY2JVI}

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 2026-05-18T03:37:28.203496Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b0a063a2257783156830734c30e349aa175221e1f860bef5b699d8de3c47bcc1

Aliases

arxiv: 1301.0114 · arxiv_version: 1301.0114v1 · doi: 10.48550/arxiv.1301.0114 · pith_short_12: WCQGHIRFO6BR · pith_short_16: WCQGHIRFO6BRK2BQ · pith_short_8: WCQGHIRF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WCQGHIRFO6BRK2BQONGDBY2JVI \
  | 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: b0a063a2257783156830734c30e349aa175221e1f860bef5b699d8de3c47bcc1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3a0e9c8cd3c5e01d187e15f29fa67732f24c57b2b9898cc54ed65940b5a81ea6",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2013-01-01T18:29:39Z",
    "title_canon_sha256": "831ea0a9db283963a3e2133c419e25a048bc9f98b43d1a234453e5ff02f0ab30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0114",
    "kind": "arxiv",
    "version": 1
  }
}