Pith Number

pith:MRFP5DO2

pith:2016:MRFP5DO2B4KQFIT4KC3VHPZRC2

not attested not anchored not stored refs pending

Normality of different orders for Cantor series expansions

Bill Mance, Dylan Airey

arxiv:1607.07164 v1 · 2016-07-25 · 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{MRFP5DO2B4KQFIT4KC3VHPZRC2}

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	2026-05-18T00:33:23.306330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

644afe8dda0f1502a27c50b753bf3116b977f6ed5bacd9747efcfcfd3fd0aeae

Aliases

arxiv: 1607.07164 · arxiv_version: 1607.07164v1 · doi: 10.48550/arxiv.1607.07164 · pith_short_12: MRFP5DO2B4KQ · pith_short_16: MRFP5DO2B4KQFIT4 · pith_short_8: MRFP5DO2

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/MRFP5DO2B4KQFIT4KC3VHPZRC2 \
  | 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: 644afe8dda0f1502a27c50b753bf3116b977f6ed5bacd9747efcfcfd3fd0aeae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e05350078b7b42f8c771b2384da0df055c47a8f464cb42e81236d9535a2886",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-25T07:02:11Z",
    "title_canon_sha256": "1df07aa9682ea36df0cbbc7045958c4cc4577e14a6bf029e9224b92b82ef7cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07164",
    "kind": "arxiv",
    "version": 1
  }
}