Pith Number

pith:VKZOWXZV

pith:2009:VKZOWXZVTAFNFOSLJZFSRMZTKT

not attested not anchored not stored refs pending

A Macaulay 2 interface for Normaliz

Gesa Kaempf, Winfried Bruns

arxiv:0908.1308 v2 · 2009-08-10 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKZOWXZVTAFNFOSLJZFSRMZTKT}

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	2026-05-18T04:42:14.681067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aab2eb5f35980ad2ba4b4e4b28b33354e3c72f12a022cac02041c6bebf717ab5

Aliases

arxiv: 0908.1308 · arxiv_version: 0908.1308v2 · doi: 10.48550/arxiv.0908.1308 · pith_short_12: VKZOWXZVTAFN · pith_short_16: VKZOWXZVTAFNFOSL · pith_short_8: VKZOWXZV

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/VKZOWXZVTAFNFOSLJZFSRMZTKT \
  | 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: aab2eb5f35980ad2ba4b4e4b28b33354e3c72f12a022cac02041c6bebf717ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26ef9de817a30a497562f34f717cdcafaf366267e58ad829ae6d1be48187945b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-08-10T12:17:28Z",
    "title_canon_sha256": "f1d7f363b43e94dadd4ee81ffd32a719831ed5118fc0be78f10312b16d798eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1308",
    "kind": "arxiv",
    "version": 2
  }
}