Pith Number

pith:WYKKBEEQ

pith:2018:WYKKBEEQRHEZPB2FYOEX5XPUHD

not attested not anchored not stored refs pending

On an effective variation of Kronecker's approximation theorem avoiding algebraic sets

Lenny Fukshansky, Nikolay Moshchevitin

arxiv:1801.10179 v1 · 2018-01-30 · 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{WYKKBEEQRHEZPB2FYOEX5XPUHD}

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	2026-05-18T00:24:41.528717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b614a0909089c9978745c3897eddf438cc75268201ad9ef0315c169f1cbb1bc9

Aliases

arxiv: 1801.10179 · arxiv_version: 1801.10179v1 · doi: 10.48550/arxiv.1801.10179 · pith_short_12: WYKKBEEQRHEZ · pith_short_16: WYKKBEEQRHEZPB2F · pith_short_8: WYKKBEEQ

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/WYKKBEEQRHEZPB2FYOEX5XPUHD \
  | 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: b614a0909089c9978745c3897eddf438cc75268201ad9ef0315c169f1cbb1bc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba8fb9a3feb2235107c95c9e5bf2e4a86a131534401b08514788f1f75afcee6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-30T19:06:00Z",
    "title_canon_sha256": "d48dfba5abb711132901234df003323fdb14b77033d06a46678715b691fa050f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10179",
    "kind": "arxiv",
    "version": 1
  }
}