Pith Number

pith:2TPUIHEM

pith:2012:2TPUIHEM63KA32SKD2XIR6MGJO

not attested not anchored not stored refs pending

Log-uniruled affine varieties without cylinder-like open subsets

Adrien Dubouloz (IMB), Takashi Kishimoto

arxiv:1212.0521 v1 · 2012-12-03 · 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{2TPUIHEM63KA32SKD2XIR6MGJO}

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	2026-05-18T03:39:17.281140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4df441c8cf6d40dea4a1eae88f9864ba5bb5a424da0a8990518764f5bda9ba6

Aliases

arxiv: 1212.0521 · arxiv_version: 1212.0521v1 · doi: 10.48550/arxiv.1212.0521 · pith_short_12: 2TPUIHEM63KA · pith_short_16: 2TPUIHEM63KA32SK · pith_short_8: 2TPUIHEM

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/2TPUIHEM63KA32SKD2XIR6MGJO \
  | 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: d4df441c8cf6d40dea4a1eae88f9864ba5bb5a424da0a8990518764f5bda9ba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036c66dde39a9b22d5a1167a72136e9bbbd9d4cf347894af082714554a170031",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-03T20:22:22Z",
    "title_canon_sha256": "90b1d3cc1f651e56a6f6fd5001d6ccb9e6ea67846191bf1dc279e5aeba260654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0521",
    "kind": "arxiv",
    "version": 1
  }
}