Pith Number

pith:WW3WD5CT

pith:2014:WW3WD5CTOT4X2ZZZXBKAPQEJVN

not attested not anchored not stored refs pending

On the complexity of a putative counterexample to the $p$-adic Littlewood conjecture

Dmitry Badziahin, Dmitry Kleinbock, Manfred Einsiedler, Yann Bugeaud

arxiv:1405.5545 v2 · 2014-05-21 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW3WD5CTOT4X2ZZZXBKAPQEJVN}

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	2026-05-18T01:31:46.631126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b761f45374f97d6739b85407c089ab638606e40bd4658c02f30a541402fd94

Aliases

arxiv: 1405.5545 · arxiv_version: 1405.5545v2 · doi: 10.48550/arxiv.1405.5545 · pith_short_12: WW3WD5CTOT4X · pith_short_16: WW3WD5CTOT4X2ZZZ · pith_short_8: WW3WD5CT

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/WW3WD5CTOT4X2ZZZXBKAPQEJVN \
  | 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: b5b761f45374f97d6739b85407c089ab638606e40bd4658c02f30a541402fd94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f2e3593e22e520398575d43807545876afe36e4cd587cbe1b8101c5d5de0d34",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-21T20:16:13Z",
    "title_canon_sha256": "e2823eaed8cbaa9a4ede64c5addaba1d83daf1342294472ff127928a91120730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5545",
    "kind": "arxiv",
    "version": 2
  }
}