Pith Number

pith:JWFV3BC5

pith:2014:JWFV3BC5BJHNOJ7AYSYJNGRC3E

not attested not anchored not stored refs pending

The system of sets of lengths in Krull monoids under set addition

Alfred Geroldinger (IM), Wolfgang Schmid (LAGA)

arxiv:1407.1967 v3 · 2014-07-08 · 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{JWFV3BC5BJHNOJ7AYSYJNGRC3E}

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	2026-05-18T02:03:52.798373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8b5d845d0a4ed727e0c4b0969a22d9124af870721a3f3149459c0e9b98bf93

Aliases

arxiv: 1407.1967 · arxiv_version: 1407.1967v3 · doi: 10.48550/arxiv.1407.1967 · pith_short_12: JWFV3BC5BJHN · pith_short_16: JWFV3BC5BJHNOJ7A · pith_short_8: JWFV3BC5

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/JWFV3BC5BJHNOJ7AYSYJNGRC3E \
  | 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: 4d8b5d845d0a4ed727e0c4b0969a22d9124af870721a3f3149459c0e9b98bf93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34f7e860e0665c929197b78678e0d2e7aa1d573386e479eed89b7b319d483030",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-07-08T06:30:05Z",
    "title_canon_sha256": "7e33197c55d87fc06f0da9a8ee54f5629c76d0e14372a7c57852ec4cd1e8bc17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1967",
    "kind": "arxiv",
    "version": 3
  }
}