Pith Number

pith:WH4EM5ME

pith:2026:WH4EM5MEKL5UIGXQPSNGF42VB5

not attested not anchored not stored refs pending

On the variance of the digits of $1/p$

Kurt Girstmair

arxiv:2601.08416 v3 · 2026-01-13 · 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{WH4EM5MEKL5UIGXQPSNGF42VB5}

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	2026-05-21T01:05:14.700788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1f846758452fb441af07c9a62f3550f43b15c0e805fb1e973e50724dee3b6a7

Aliases

arxiv: 2601.08416 · arxiv_version: 2601.08416v3 · doi: 10.48550/arxiv.2601.08416 · pith_short_12: WH4EM5MEKL5U · pith_short_16: WH4EM5MEKL5UIGXQ · pith_short_8: WH4EM5ME

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/WH4EM5MEKL5UIGXQPSNGF42VB5 \
  | 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: b1f846758452fb441af07c9a62f3550f43b15c0e805fb1e973e50724dee3b6a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0aff584eae4138ff13bd7d30bc4dd812553b6ccf310dc7a52400e6e8673ca9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-01-13T10:35:00Z",
    "title_canon_sha256": "dfa115c7fc5bcddc1232743d349afc5bcfdcaedbd7d55bd353d0e00df89f447d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.08416",
    "kind": "arxiv",
    "version": 3
  }
}