Pith Number

pith:54DYVARC

pith:2012:54DYVARCXQKSGA22PUNUGKGBW7

not attested not anchored not stored refs pending

The power of pyramid decomposition in Normaliz

Bogdan Ichim, Christof S\"oger, Winfried Bruns

arxiv:1206.1916 v4 · 2012-06-09 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54DYVARCXQKSGA22PUNUGKGBW7}

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	2026-05-18T01:34:40.243817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef078a8222bc1523035a7d1b4328c1b7d8c6c31a274ccf508ad697f01267b8d9

Aliases

arxiv: 1206.1916 · arxiv_version: 1206.1916v4 · doi: 10.48550/arxiv.1206.1916 · pith_short_12: 54DYVARCXQKS · pith_short_16: 54DYVARCXQKSGA22 · pith_short_8: 54DYVARC

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/54DYVARCXQKSGA22PUNUGKGBW7 \
  | 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: ef078a8222bc1523035a7d1b4328c1b7d8c6c31a274ccf508ad697f01267b8d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b672a5fa0113eb527cb788f818d17923256f745c39db36f1f0f204708337b34",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-09T08:33:37Z",
    "title_canon_sha256": "379d2b50726206d0621fe1f08ce5ecb14e494baa5c0886f79d625505a5c56a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1916",
    "kind": "arxiv",
    "version": 4
  }
}