Pith Number

pith:KHKWRO73

pith:2009:KHKWRO732RKC7Q5ERAAUTGXOOM

not attested not anchored not stored refs pending

The Cox ring of an algebraic variety with torus action

Hendrik S\"u{\ss}, Juergen Hausen

arxiv:0903.4789 v4 · 2009-03-27 · 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{KHKWRO732RKC7Q5ERAAUTGXOOM}

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	2026-05-18T02:24:56.197802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d568bbfbd4542fc3a48801499aee732d1b08fb57154941a77822710d501f95

Aliases

arxiv: 0903.4789 · arxiv_version: 0903.4789v4 · doi: 10.48550/arxiv.0903.4789 · pith_short_12: KHKWRO732RKC · pith_short_16: KHKWRO732RKC7Q5E · pith_short_8: KHKWRO73

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/KHKWRO732RKC7Q5ERAAUTGXOOM \
  | 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: 51d568bbfbd4542fc3a48801499aee732d1b08fb57154941a77822710d501f95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5794eb1f069d6902265b61f2c901d78fe77a90984e404579dd481bd13bb4738d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-27T14:08:50Z",
    "title_canon_sha256": "ca2e6617e87c936960aed07fccecca4f8e302a8b68181233329ffab7e2449d81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4789",
    "kind": "arxiv",
    "version": 4
  }
}