Pith Number

pith:XFOMEUQE

pith:2018:XFOMEUQET7U3YGQQS3SGGTFE46

not attested not anchored not stored refs pending

Inside factorial monoids and the cale monoid of a single Diophantine equation

David Llena, Pedro A. Garc\'ia-S\'anchez, Ulrich Krause

arxiv:1807.11885 v1 · 2018-07-31 · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFOMEUQET7U3YGQQS3SGGTFE46}

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	2026-05-18T00:09:20.855308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95cc252049fe9bc1a1096e4634ca4e7b9a9a0497bf8e9e19399db42ea529218

Aliases

arxiv: 1807.11885 · arxiv_version: 1807.11885v1 · doi: 10.48550/arxiv.1807.11885 · pith_short_12: XFOMEUQET7U3 · pith_short_16: XFOMEUQET7U3YGQQ · pith_short_8: XFOMEUQE

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/XFOMEUQET7U3YGQQS3SGGTFE46 \
  | 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: b95cc252049fe9bc1a1096e4634ca4e7b9a9a0497bf8e9e19399db42ea529218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aceabc934d986ced3891432045ee56fee86a7173f63164100b548a56afa1e4f4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-07-31T15:56:40Z",
    "title_canon_sha256": "38df0ce96714c2ff642c509babcd709abf37551a737c92c45cdceafc0c8460f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11885",
    "kind": "arxiv",
    "version": 1
  }
}