Pith Number

pith:B5H7ICHW

pith:2026:B5H7ICHWFUFXQ5DIJOBVDRNH5W

not attested not anchored not stored refs pending

Mean values and variances of the digits of $1/p$

Kurt Girstmair

arxiv:2606.29930 v1 · 2026-06-29 · 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{B5H7ICHWFUFXQ5DIJOBVDRNH5W}

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	2026-06-30T02:17:41.434686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f4ff408f62d0b7874684b8351c5a7eda77c86d95745f26a7b90d41c112173a0

Aliases

arxiv: 2606.29930 · arxiv_version: 2606.29930v1 · doi: 10.48550/arxiv.2606.29930 · pith_short_12: B5H7ICHWFUFX · pith_short_16: B5H7ICHWFUFXQ5DI · pith_short_8: B5H7ICHW

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/B5H7ICHWFUFXQ5DIJOBVDRNH5W \
  | 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: 0f4ff408f62d0b7874684b8351c5a7eda77c86d95745f26a7b90d41c112173a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efc8931a27eb7ecd3484837faa6630c723bdd122a4b68c7fbd9393536837a763",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-29T08:05:49Z",
    "title_canon_sha256": "405c9cdfa60cd1faeb7f6b675e281acd1e380d2060c705fe022be6b4dc8bb855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29930",
    "kind": "arxiv",
    "version": 1
  }
}