Pith Number

pith:TCDMD5ZG

pith:2011:TCDMD5ZGZPRC3MMJ6M7G5KHEWE

not attested not anchored not stored refs pending

On the limit distribution of Frobenius numbers

Andreas Str\"ombergsson

arxiv:1104.0108 v1 · 2011-04-01 · 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{TCDMD5ZGZPRC3MMJ6M7G5KHEWE}

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	2026-05-18T04:25:12.405593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9886c1f726cbe22db189f33e6ea8e4b11ca1fbfcccf40bceb5b5a0dd4f72eadd

Aliases

arxiv: 1104.0108 · arxiv_version: 1104.0108v1 · doi: 10.48550/arxiv.1104.0108 · pith_short_12: TCDMD5ZGZPRC · pith_short_16: TCDMD5ZGZPRC3MMJ · pith_short_8: TCDMD5ZG

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/TCDMD5ZGZPRC3MMJ6M7G5KHEWE \
  | 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: 9886c1f726cbe22db189f33e6ea8e4b11ca1fbfcccf40bceb5b5a0dd4f72eadd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7bf8a34c0d450f352b9ab1c6b11a61f1f3f625cf37c4fe41f28e68e603151f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-01T08:29:53Z",
    "title_canon_sha256": "feaa2b19c6e6e20f4056bfc7b34fa5356c9e8cd31eb64355620877c322335df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0108",
    "kind": "arxiv",
    "version": 1
  }
}