Pith Number

pith:5PR33TTZ

pith:2015:5PR33TTZUIUGNVIYIEKMXKPXQC

not attested not anchored not stored refs pending

Non-trivial matrix actions preserve normality for continued fractions

Joseph Vandehey

arxiv:1504.05121 v1 · 2015-04-20 · 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{5PR33TTZUIUGNVIYIEKMXKPXQC}

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	2026-05-17T23:53:34.549521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe3bdce79a22866d5184114cba9f780a018fa95bb2df5bf02d352ba8f44f9b3

Aliases

arxiv: 1504.05121 · arxiv_version: 1504.05121v1 · doi: 10.48550/arxiv.1504.05121 · pith_short_12: 5PR33TTZUIUG · pith_short_16: 5PR33TTZUIUGNVIY · pith_short_8: 5PR33TTZ

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/5PR33TTZUIUGNVIYIEKMXKPXQC \
  | 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: ebe3bdce79a22866d5184114cba9f780a018fa95bb2df5bf02d352ba8f44f9b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e13c2439f6b36a6480ae1d232af242e94d9c1574116cf403120eaa11a92cfef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-20T16:56:40Z",
    "title_canon_sha256": "11ce2f2aa2d872faa8e3b7c464393e9f8f6fd015aad286cadbd18ed7f02e1b15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05121",
    "kind": "arxiv",
    "version": 1
  }
}