Pith Number

pith:AAVDYZDB

pith:2011:AAVDYZDBZGUOAUIHAYXEGM3ICC

not attested not anchored not stored refs pending

On the Mahler measure of $1+X+1/X+Y+1/Y$

Mathew Rogers, Wadim Zudilin

arxiv:1102.1153 v3 · 2011-02-06 · 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{AAVDYZDBZGUOAUIHAYXEGM3ICC}

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	2026-05-18T02:52:32.763670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

002a3c6461c9a8e05107062e4333681086a112dca14b7083cf1d364fd09a464e

Aliases

arxiv: 1102.1153 · arxiv_version: 1102.1153v3 · doi: 10.48550/arxiv.1102.1153 · pith_short_12: AAVDYZDBZGUO · pith_short_16: AAVDYZDBZGUOAUIH · pith_short_8: AAVDYZDB

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/AAVDYZDBZGUOAUIHAYXEGM3ICC \
  | 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: 002a3c6461c9a8e05107062e4333681086a112dca14b7083cf1d364fd09a464e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f9a03d35f240ec45ecb4acf214c5cddbb430b2447357a6c9a51f7fecfe97d70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-06T14:09:01Z",
    "title_canon_sha256": "84014b0286430388e9d351e806d07d44964e0db878397c7e7a1f9daf407c769f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1153",
    "kind": "arxiv",
    "version": 3
  }
}