Pith Number

pith:S7UTMHXB

pith:2010:S7UTMHXBGT5VQTVZSZ4TVOS2GH

not attested not anchored not stored refs pending

Unbounded discrepancy in Frobenius numbers

James Stankewicz, Jeffrey Shallit

arxiv:1003.0021 v2 · 2010-02-26 · 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{S7UTMHXBGT5VQTVZSZ4TVOS2GH}

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	2026-05-18T04:41:16.270901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e9361ee134fb584eb996793aba5a31c5b6faa294424c559fa7a43d8726e3b8

Aliases

arxiv: 1003.0021 · arxiv_version: 1003.0021v2 · doi: 10.48550/arxiv.1003.0021 · pith_short_12: S7UTMHXBGT5V · pith_short_16: S7UTMHXBGT5VQTVZ · pith_short_8: S7UTMHXB

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/S7UTMHXBGT5VQTVZSZ4TVOS2GH \
  | 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: 97e9361ee134fb584eb996793aba5a31c5b6faa294424c559fa7a43d8726e3b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9896697a45319c7f0b4d735667e7a8c2e96401ef446616e2c269300f9c752204",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-02-26T21:49:04Z",
    "title_canon_sha256": "70bb5101b542a0bcf09200f0371220412111e0bc52238a3267465df12977d691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0021",
    "kind": "arxiv",
    "version": 2
  }
}