Pith Number

pith:NBUEK7PF

pith:2019:NBUEK7PFJ22PQGF6VZFNZWZHQX

not attested not anchored not stored refs pending

On pseudo-Frobenius elements of submonoids of $\mathbb{N}^d$

A. Vigneron-Tenorio, I. Ojeda, J.C. Rosales, J.I. Garc\'ia-Garc\'ia

arxiv:1903.11028 v1 · 2019-03-26 · 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{NBUEK7PFJ22PQGF6VZFNZWZHQX}

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	2026-05-17T23:50:16.932207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6868457de54eb4f818beae4adcdb2785ee0807ac0c71617687f10103b7fcfa8e

Aliases

arxiv: 1903.11028 · arxiv_version: 1903.11028v1 · doi: 10.48550/arxiv.1903.11028 · pith_short_12: NBUEK7PFJ22P · pith_short_16: NBUEK7PFJ22PQGF6 · pith_short_8: NBUEK7PF

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/NBUEK7PFJ22PQGF6VZFNZWZHQX \
  | 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: 6868457de54eb4f818beae4adcdb2785ee0807ac0c71617687f10103b7fcfa8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ace693111caec95c9dcf69cb09a144db69f8e08f9e59919ad76cbfda32be4c2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-03-26T17:20:28Z",
    "title_canon_sha256": "c5f6c913e0e603549c8c3ecbe011deb18e0d1e8eca396acb8381a11d3c66c09e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11028",
    "kind": "arxiv",
    "version": 1
  }
}