Pith Number

pith:GTMT5WVY

pith:2012:GTMT5WVYVX77JBJKJKWIQJXGK2

not attested not anchored not stored refs pending

The Universal Kummer Threefold

Bernd Sturmfels, Gus Schrader, Qingchun Ren, Steven V Sam

arxiv:1208.1229 v3 · 2012-08-06 · 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{GTMT5WVYVX77JBJKJKWIQJXGK2}

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	2026-05-18T00:59:35.058187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d93edab8adfff4852a4aac8826e6569fca4125ef7d2e77012782ac1f78cee8

Aliases

arxiv: 1208.1229 · arxiv_version: 1208.1229v3 · doi: 10.48550/arxiv.1208.1229 · pith_short_12: GTMT5WVYVX77 · pith_short_16: GTMT5WVYVX77JBJK · pith_short_8: GTMT5WVY

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/GTMT5WVYVX77JBJKJKWIQJXGK2 \
  | 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: 34d93edab8adfff4852a4aac8826e6569fca4125ef7d2e77012782ac1f78cee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43e86a98b0a7c447a6e93e75a0060357046f70892b55380e882fc44137c89fc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-06T18:19:29Z",
    "title_canon_sha256": "6df8d9ee92d833e9d3b5917364501b9727e24a886038bf6e3c4c9464c92c3101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1229",
    "kind": "arxiv",
    "version": 3
  }
}