Pith Number

pith:IQN6LOJV

pith:2013:IQN6LOJVGGELKMUBNXE2MMSFY4

not attested not anchored not stored refs pending

Geography of Gorenstein stable log surfaces

S\"onke Rollenske, Wenfei Liu

arxiv:1307.1999 v2 · 2013-07-08 · 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{IQN6LOJVGGELKMUBNXE2MMSFY4}

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	2026-05-18T02:58:43.163144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

441be5b9353188b532816dc9a63245c72ae3ee6daebc4ccb3ee804a4f61ab257

Aliases

arxiv: 1307.1999 · arxiv_version: 1307.1999v2 · doi: 10.48550/arxiv.1307.1999 · pith_short_12: IQN6LOJVGGEL · pith_short_16: IQN6LOJVGGELKMUB · pith_short_8: IQN6LOJV

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/IQN6LOJVGGELKMUBNXE2MMSFY4 \
  | 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: 441be5b9353188b532816dc9a63245c72ae3ee6daebc4ccb3ee804a4f61ab257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60a0b3f7cca4385917eb7671a189295c186f005c801b6c9b8fa18ad6ffaef54e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-08T09:25:31Z",
    "title_canon_sha256": "1c8dfeb63a25ed7e9ce6f6d4f918dc2c9d9aae4a9d2049c9619052e154eb82fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1999",
    "kind": "arxiv",
    "version": 2
  }
}