Pith Number

pith:B76CMY4W

pith:2011:B76CMY4WUKG7XNMCOQAGQOCRMY

not attested not anchored not stored refs pending

A geometric construction of Coxeter-Dynkin diagrams of bimodal singularities

David Ploog, Wolfgang Ebeling

arxiv:1102.5024 v2 · 2011-02-24 · 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{B76CMY4WUKG7XNMCOQAGQOCRMY}

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	2026-05-18T03:26:23.374946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ffc266396a28dfbb5827400683851662d863e791596ecb932f85b2bec93f098

Aliases

arxiv: 1102.5024 · arxiv_version: 1102.5024v2 · doi: 10.48550/arxiv.1102.5024 · pith_short_12: B76CMY4WUKG7 · pith_short_16: B76CMY4WUKG7XNMC · pith_short_8: B76CMY4W

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/B76CMY4WUKG7XNMCOQAGQOCRMY \
  | 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: 0ffc266396a28dfbb5827400683851662d863e791596ecb932f85b2bec93f098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39a718e654008ffa0fd159bc0690fee6b5ffc361f26ae13e6a76f04cd221d609",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-24T16:05:13Z",
    "title_canon_sha256": "1c76ef23a6faddc9dd1254983cc97bdd31ed8ce0730fac91ec05d35b967089be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5024",
    "kind": "arxiv",
    "version": 2
  }
}