Pith Number

pith:4RF4HHWH

pith:2010:4RF4HHWH7ZTKOJC5KXFJHTNMBD

not attested not anchored not stored refs pending

Cox rings of rational complexity one T-varieties

Klaus Altmann, Lars Petersen

arxiv:1009.0478 v1 · 2010-09-02 · 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{4RF4HHWH7ZTKOJC5KXFJHTNMBD}

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	2026-05-18T03:43:05.465736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e44bc39ec7fe66a7245d55ca93cdac08c49ca9cfea156dfebf42e5def1e19d56

Aliases

arxiv: 1009.0478 · arxiv_version: 1009.0478v1 · doi: 10.48550/arxiv.1009.0478 · pith_short_12: 4RF4HHWH7ZTK · pith_short_16: 4RF4HHWH7ZTKOJC5 · pith_short_8: 4RF4HHWH

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/4RF4HHWH7ZTKOJC5KXFJHTNMBD \
  | 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: e44bc39ec7fe66a7245d55ca93cdac08c49ca9cfea156dfebf42e5def1e19d56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f35b26cec1f7303c1f5d8b0d79e9390592b073665c82575ee8a5a04b9f3f5b17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-02T17:07:16Z",
    "title_canon_sha256": "51fe16930b438d864662cc43a5b3223bea8eb6def5ada9d6fc62fb7f9ad2a1cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0478",
    "kind": "arxiv",
    "version": 1
  }
}