Pith Number

pith:YOAYFZKT

pith:2016:YOAYFZKTLMJWPE36UVKE2PF3S2

not attested not anchored not stored refs pending

The Hurwitz continued fraction expansion as applied to real numbers

David Simmons

arxiv:1601.07838 v3 · 2016-01-28 · 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{YOAYFZKTLMJWPE36UVKE2PF3S2}

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	2026-05-18T00:25:27.311932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38182e5535b1367937ea5544d3cbb9680e779ae21a163be2294709fabc97c5d

Aliases

arxiv: 1601.07838 · arxiv_version: 1601.07838v3 · doi: 10.48550/arxiv.1601.07838 · pith_short_12: YOAYFZKTLMJW · pith_short_16: YOAYFZKTLMJWPE36 · pith_short_8: YOAYFZKT

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/YOAYFZKTLMJWPE36UVKE2PF3S2 \
  | 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: c38182e5535b1367937ea5544d3cbb9680e779ae21a163be2294709fabc97c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a73e03095a95b55ac14b2cbaa59c5ddbca01ac0290cf2bb4af3d08bf254c66fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-28T17:14:39Z",
    "title_canon_sha256": "5b833d3a75ac272a2343e34fe81282314b890323f7cd758a2a5aa81dcfeccdeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07838",
    "kind": "arxiv",
    "version": 3
  }
}