Pith Number

pith:ULEBDN4J

pith:2009:ULEBDN4JL565I5UPI7AI636UZZ

not attested not anchored not stored refs pending

Toric ideals for high Veronese subrings of toric algebras

Takafumi Shibuta

arxiv:0906.5129 v3 · 2009-06-29 · math.AC · 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{ULEBDN4JL565I5UPI7AI636UZZ}

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	2026-05-18T04:35:15.003312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2c811b7895f7dd4768f47c08f6fd4ce40927fb23667d9e999ab1b32710f4e62

Aliases

arxiv: 0906.5129 · arxiv_version: 0906.5129v3 · doi: 10.48550/arxiv.0906.5129 · pith_short_12: ULEBDN4JL565 · pith_short_16: ULEBDN4JL565I5UP · pith_short_8: ULEBDN4J

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/ULEBDN4JL565I5UPI7AI636UZZ \
  | 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: a2c811b7895f7dd4768f47c08f6fd4ce40927fb23667d9e999ab1b32710f4e62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd4734d42579156c4530f10de9b0401d519917c68817ba415e015467cdadfee3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-06-29T13:42:17Z",
    "title_canon_sha256": "23c061928ec0f729b1db08ca313c4b9b0d244f001636ccff78469bbf8102a549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5129",
    "kind": "arxiv",
    "version": 3
  }
}