Pith Number

pith:ZGCLRBF5

pith:2012:ZGCLRBF5HNKOBEU6TA74KXIYRH

not attested not anchored not stored refs pending

Wild quotient surface singularities whose dual graphs are not star-shaped

Hiroyuki Ito, Stefan Schroeer

arxiv:1209.3605 v2 · 2012-09-17 · 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{ZGCLRBF5HNKOBEU6TA74KXIYRH}

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	2026-05-18T02:42:46.789626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c984b884bd3b54e0929e983fc55d1889d1bb33db767a066db8f8f4a545cb2d06

Aliases

arxiv: 1209.3605 · arxiv_version: 1209.3605v2 · doi: 10.48550/arxiv.1209.3605 · pith_short_12: ZGCLRBF5HNKO · pith_short_16: ZGCLRBF5HNKOBEU6 · pith_short_8: ZGCLRBF5

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/ZGCLRBF5HNKOBEU6TA74KXIYRH \
  | 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: c984b884bd3b54e0929e983fc55d1889d1bb33db767a066db8f8f4a545cb2d06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3669baf993cdc2a30f6f0209f89a26e3458f3513d841e64682b95d906d82fa6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-17T09:31:03Z",
    "title_canon_sha256": "81786ce9a570b30b2e4a2974649351ac99d19dbe9f58ae19445144ab91217df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3605",
    "kind": "arxiv",
    "version": 2
  }
}