Pith Number

pith:AXD2IXF7

pith:2014:AXD2IXF74VX5HQR6K4MAWW3MNG

not attested not anchored not stored refs pending

On the joint normality of certain digit expansions

Joseph Vandehey

arxiv:1408.0435 v1 · 2014-08-02 · 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{AXD2IXF74VX5HQR6K4MAWW3MNG}

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	2026-05-18T02:45:57.095012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05c7a45cbfe56fd3c23e57180b5b6c698cdf3f7ef66e5e03e893896f7291b114

Aliases

arxiv: 1408.0435 · arxiv_version: 1408.0435v1 · doi: 10.48550/arxiv.1408.0435 · pith_short_12: AXD2IXF74VX5 · pith_short_16: AXD2IXF74VX5HQR6 · pith_short_8: AXD2IXF7

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/AXD2IXF74VX5HQR6K4MAWW3MNG \
  | 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: 05c7a45cbfe56fd3c23e57180b5b6c698cdf3f7ef66e5e03e893896f7291b114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "649c8fb444a88de4cb6305a542f099662123186d76a8f7b95196ee90e8432e50",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-02T23:22:41Z",
    "title_canon_sha256": "4030cedd1ca4640f7f11e32a48d822851ccbb9088e165511cea4dc838054cae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0435",
    "kind": "arxiv",
    "version": 1
  }
}