Pith Number

pith:LWKPAU5M

pith:2010:LWKPAU5MOSWYVQX76FUPULCFRJ

not attested not anchored not stored refs pending

Mahler measure and the WZ algorithm

Jes\'us Guillera, Mathew Rogers

arxiv:1006.1654 v2 · 2010-06-08 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWKPAU5MOSWYVQX76FUPULCFRJ}

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	2026-05-18T03:26:21.043636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d94f053ac74ad8ac2fff168fa2c458a4c6d6998a670b096621ee42d957be9fb

Aliases

arxiv: 1006.1654 · arxiv_version: 1006.1654v2 · doi: 10.48550/arxiv.1006.1654 · pith_short_12: LWKPAU5MOSWY · pith_short_16: LWKPAU5MOSWYVQX7 · pith_short_8: LWKPAU5M

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/LWKPAU5MOSWYVQX76FUPULCFRJ \
  | 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: 5d94f053ac74ad8ac2fff168fa2c458a4c6d6998a670b096621ee42d957be9fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ffd3b6091778f38e106737e1cbe609ce0a3e20e7f6a6f52c7cdcf86bb44c6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-08T20:02:38Z",
    "title_canon_sha256": "740f3d27a519a22ac5c80ec8384e66fe92e277337b8c9b4df7f41fdddb72b47f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1654",
    "kind": "arxiv",
    "version": 2
  }
}