Pith Number

pith:LLAUQWZT

pith:2008:LLAUQWZT7JDK7MM5HHDXLVPB3T

not attested not anchored not stored refs pending

Complements and signed digit representations: Analysis of a multi-exponentiation-algorithm of Wu, Lou, Lai and Chang

Clemens Heuberger, Helmut Prodinger

arxiv:0804.0733 v1 · 2008-04-04 · math.CO · 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{LLAUQWZT7JDK7MM5HHDXLVPB3T}

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	2026-05-18T04:14:36.565273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac1485b33fa46afb19d39c775d5e1dcdb90a0e2c5ccdb5d89bee13d218a7dd6

Aliases

arxiv: 0804.0733 · arxiv_version: 0804.0733v1 · doi: 10.48550/arxiv.0804.0733 · pith_short_12: LLAUQWZT7JDK · pith_short_16: LLAUQWZT7JDK7MM5 · pith_short_8: LLAUQWZT

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/LLAUQWZT7JDK7MM5HHDXLVPB3T \
  | 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: 5ac1485b33fa46afb19d39c775d5e1dcdb90a0e2c5ccdb5d89bee13d218a7dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d5be7e99b692da82db69cca68db711d4dce5088216bec15529a416ee4928be",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-04-04T13:37:01Z",
    "title_canon_sha256": "60ca8f3d616241e6db5fc5c7506625d6640dd822ddb1c24af879f742f179de6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0733",
    "kind": "arxiv",
    "version": 1
  }
}