Pith Number

pith:LSAROQ4M

pith:2013:LSAROQ4MQH5I5BJXS3VP5SSMDV

not attested not anchored not stored refs pending

Geography of irregular Gorenstein 3-folds

Tong Zhang

arxiv:1309.6302 v2 · 2013-09-24 · 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{LSAROQ4MQH5I5BJXS3VP5SSMDV}

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	2026-05-18T03:06:21.641833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c8117438c81fa8e853796eafeca4c1d403b3be2e2cf16d5337f64a95469bc01

Aliases

arxiv: 1309.6302 · arxiv_version: 1309.6302v2 · doi: 10.48550/arxiv.1309.6302 · pith_short_12: LSAROQ4MQH5I · pith_short_16: LSAROQ4MQH5I5BJX · pith_short_8: LSAROQ4M

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/LSAROQ4MQH5I5BJXS3VP5SSMDV \
  | 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: 5c8117438c81fa8e853796eafeca4c1d403b3be2e2cf16d5337f64a95469bc01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "720aa0edced34651908293ffe793fb55930173fbf3ac58d465cb32003ad55040",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-24T19:54:00Z",
    "title_canon_sha256": "08527ceb83f47220a87d9b29edb143beca803747ffba7f8b33cc48fd55a8ebe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6302",
    "kind": "arxiv",
    "version": 2
  }
}