Pith Number

pith:WL7AX23C

pith:2017:WL7AX23CW5P3TN5SIRFVE5KDJG

not attested not anchored not stored refs pending

On arithmetical numerical monoids with some generators omitted

Brandon Van Over, Christopher O'Neill, Sung Hyup Lee

arxiv:1712.06741 v1 · 2017-12-19 · 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{WL7AX23CW5P3TN5SIRFVE5KDJG}

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	2026-05-18T00:27:40.554146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2fe0beb62b75fb9b7b2444b527543499b23c51dec3c88432c9a90a7bfec632a

Aliases

arxiv: 1712.06741 · arxiv_version: 1712.06741v1 · doi: 10.48550/arxiv.1712.06741 · pith_short_12: WL7AX23CW5P3 · pith_short_16: WL7AX23CW5P3TN5S · pith_short_8: WL7AX23C

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/WL7AX23CW5P3TN5SIRFVE5KDJG \
  | 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: b2fe0beb62b75fb9b7b2444b527543499b23c51dec3c88432c9a90a7bfec632a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "023b962517977e86b6a50aa6112acbc573268b12889dd04acb68e17560173a23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-12-19T01:29:30Z",
    "title_canon_sha256": "65cb304e6c2a1363a44a7a35d7f8cf5240a4204dc34dcb84b95b5994bceb1703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06741",
    "kind": "arxiv",
    "version": 1
  }
}