Pith Number

pith:246ZZI6A

pith:2013:246ZZI6ANJDKGNPPHMPSMHUUZV

not attested not anchored not stored refs pending

Krull dimension and Monomial Orders

Gregor Kemper, Ngo Viet Trung

arxiv:1303.3937 v2 · 2013-03-16 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{246ZZI6ANJDKGNPPHMPSMHUUZV}

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	2026-05-18T03:11:21.667296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d73d9ca3c06a46a335ef3b1f261e94cd6295016b8a4add84e83f712339966f98

Aliases

arxiv: 1303.3937 · arxiv_version: 1303.3937v2 · doi: 10.48550/arxiv.1303.3937 · pith_short_12: 246ZZI6ANJDK · pith_short_16: 246ZZI6ANJDKGNPP · pith_short_8: 246ZZI6A

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/246ZZI6ANJDKGNPPHMPSMHUUZV \
  | 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: d73d9ca3c06a46a335ef3b1f261e94cd6295016b8a4add84e83f712339966f98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecccc4b3273d7ad6602ed99cd944b9474e015633a8c6106957711bdd7e403abc",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-03-16T01:43:25Z",
    "title_canon_sha256": "6bb133a06c845368833646d48d4f489ba377dbd1bea312ac350d1649c3954d3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3937",
    "kind": "arxiv",
    "version": 2
  }
}