Pith Number

pith:YNYF3N7Y

pith:2013:YNYF3N7YXPHDNDVPCGMION3I5R

not attested not anchored not stored refs pending

A simpler normal number construction for simple Luroth series

Joseph Vandehey

arxiv:1311.4784 v1 · 2013-11-19 · 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{YNYF3N7YXPHDNDVPCGMION3I5R}

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	2026-05-18T03:06:43.498973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3705db7f8bbce368eaf1198873768ec44d1f2c4a4de3e9b48aff57864c092f2

Aliases

arxiv: 1311.4784 · arxiv_version: 1311.4784v1 · doi: 10.48550/arxiv.1311.4784 · pith_short_12: YNYF3N7YXPHD · pith_short_16: YNYF3N7YXPHDNDVP · pith_short_8: YNYF3N7Y

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/YNYF3N7YXPHDNDVPCGMION3I5R \
  | 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: c3705db7f8bbce368eaf1198873768ec44d1f2c4a4de3e9b48aff57864c092f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbcf73269a01ac64d22c091901207da4903ed77ea645b3f707735ce15a862db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-19T15:48:32Z",
    "title_canon_sha256": "690d4a9ca11b95a9db0decf4517354006a1eec6808d27a1926c9c92577a51bde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4784",
    "kind": "arxiv",
    "version": 1
  }
}