Pith Number

pith:VWZRZZ2T

pith:2011:VWZRZZ2TS3IZS4XSVWYKAEISRC

not attested not anchored not stored refs pending

A note on exceptional unimodal singularities and K3 surfaces

Kazushi Ueda, Makiko Mase, Masanori Kobayashi

arxiv:1107.2169 v2 · 2011-07-12 · 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{VWZRZZ2TS3IZS4XSVWYKAEISRC}

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	2026-05-18T04:00:52.201146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb31ce75396d19972f2adb0a01112889942dc6615f6a2fa2a709c35884a5252

Aliases

arxiv: 1107.2169 · arxiv_version: 1107.2169v2 · doi: 10.48550/arxiv.1107.2169 · pith_short_12: VWZRZZ2TS3IZ · pith_short_16: VWZRZZ2TS3IZS4XS · pith_short_8: VWZRZZ2T

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/VWZRZZ2TS3IZS4XSVWYKAEISRC \
  | 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: adb31ce75396d19972f2adb0a01112889942dc6615f6a2fa2a709c35884a5252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27cee5f85291609b3d7d681a9e484e8b421b905cdec16c4d697c7e030cb593a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-12T00:17:18Z",
    "title_canon_sha256": "d8ed15047278d98aef7c23535c15314fb0045ec6d926365fb24c6aa2e873932d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2169",
    "kind": "arxiv",
    "version": 2
  }
}