Pith Number

pith:77G22HIV

pith:2017:77G22HIV7KUQDWDKHMX22G2MDA

not attested not anchored not stored refs pending

Bounds on the number of ideals in finite commutative nilpotent $\mathbb{F}_p$-algebras

Cornelius Greither, Lindsay N. Childs

arxiv:1706.02518 v1 · 2017-06-08 · 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{77G22HIV7KUQDWDKHMX22G2MDA}

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	2026-05-18T00:42:45.236589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffcdad1d15faa901d86a3b2fad1b4c18176d99af3916ce177418ae8bf44dbc42

Aliases

arxiv: 1706.02518 · arxiv_version: 1706.02518v1 · doi: 10.48550/arxiv.1706.02518 · pith_short_12: 77G22HIV7KUQ · pith_short_16: 77G22HIV7KUQDWDK · pith_short_8: 77G22HIV

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/77G22HIV7KUQDWDKHMX22G2MDA \
  | 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: ffcdad1d15faa901d86a3b2fad1b4c18176d99af3916ce177418ae8bf44dbc42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825f92379dc08491e452ec1836815be481aa2dd48753d30663fb489c9df8ab42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-06-08T11:22:46Z",
    "title_canon_sha256": "dbab66dea7aa9bec21c1a73b9d959598c2a194998e23e66089a1cb65bb481ec6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02518",
    "kind": "arxiv",
    "version": 1
  }
}