Pith Number

pith:UBTFDKG5

pith:2009:UBTFDKG5YWENKNG2UYFWQYDNQV

not attested not anchored not stored refs pending

Formal groups arising from formal punctured ribbons

Alexander Zheglov, Denis Osipov, Herbert Kurke

arxiv:0901.1607 v4 · 2009-01-12 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBTFDKG5YWENKNG2UYFWQYDNQV}

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	2026-05-18T04:30:59.935503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a06651a8ddc588d534daa60b68606d85431f50e410eaaec4addcc9f2a68eae48

Aliases

arxiv: 0901.1607 · arxiv_version: 0901.1607v4 · doi: 10.48550/arxiv.0901.1607 · pith_short_12: UBTFDKG5YWEN · pith_short_16: UBTFDKG5YWENKNG2 · pith_short_8: UBTFDKG5

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/UBTFDKG5YWENKNG2UYFWQYDNQV \
  | 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: a06651a8ddc588d534daa60b68606d85431f50e410eaaec4addcc9f2a68eae48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4902682f21847623bdd5291c2a5ce7f28a63ee87f9f430f85b270bef6a7c2a65",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-01-12T16:30:21Z",
    "title_canon_sha256": "6f37f7a83f836ba2a705e5717c1c5452e75e37fa172fef61fed0123a2bd5c129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1607",
    "kind": "arxiv",
    "version": 4
  }
}