Pith Number

pith:HUXKCOOK

pith:2026:HUXKCOOKKGYH2XP3TMQRH7TBVS

not attested not anchored not stored refs pending

The Euclidean algorithm, lotuses and singularities

Patrick Popescu-Pampu

arxiv:2606.05211 v1 · 2026-05-26 · math.HO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUXKCOOKKGYH2XP3TMQRH7TBVS}

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	2026-06-05T00:13:48.861615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d2ea139ca51b07d5dfb9b2113fe61aca5cdbd9d56286c6345dc3164aa1c944d

Aliases

arxiv: 2606.05211 · arxiv_version: 2606.05211v1 · doi: 10.48550/arxiv.2606.05211 · pith_short_12: HUXKCOOKKGYH · pith_short_16: HUXKCOOKKGYH2XP3 · pith_short_8: HUXKCOOK

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/HUXKCOOKKGYH2XP3TMQRH7TBVS \
  | 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: 3d2ea139ca51b07d5dfb9b2113fe61aca5cdbd9d56286c6345dc3164aa1c944d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7be96cd8ccf3f7218f1fac8b069c7eea60db645814bec6e08bc03fef690c7ed2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2026-05-26T16:29:09Z",
    "title_canon_sha256": "5e377d6b73def6c2e09110a8ba032a8b761d3b5ae8d41eddbb98cf8cf95a8e7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05211",
    "kind": "arxiv",
    "version": 1
  }
}