Pith Number

pith:PPZGNTWZ

pith:2014:PPZGNTWZI6XDFLZCJL7Q2DDGGI

not attested not anchored not stored refs pending

A rigorous version of R. P. Brent's model for the binary Euclidean algorithm

Ian D. Morris

arxiv:1409.0729 v1 · 2014-09-02 · math.DS · 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{PPZGNTWZI6XDFLZCJL7Q2DDGGI}

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	2026-05-18T02:43:46.245201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf266ced947ae32af224aff0d0c66322d5e88e8e2d574516ac666ab2463dfad

Aliases

arxiv: 1409.0729 · arxiv_version: 1409.0729v1 · doi: 10.48550/arxiv.1409.0729 · pith_short_12: PPZGNTWZI6XD · pith_short_16: PPZGNTWZI6XDFLZC · pith_short_8: PPZGNTWZ

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/PPZGNTWZI6XDFLZCJL7Q2DDGGI \
  | 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: 7bf266ced947ae32af224aff0d0c66322d5e88e8e2d574516ac666ab2463dfad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f151d2cd9b4c3a32ef575d0dde72f538d5064d8927bb1f943d4c5d620938a08c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-02T14:38:22Z",
    "title_canon_sha256": "b5efe03d1a2e14290b63e6c2483c201dba8a63a61313bb603a9367eaa16145bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0729",
    "kind": "arxiv",
    "version": 1
  }
}