Pith Number

pith:DQQJICXN

pith:2015:DQQJICXNWMB3LOT3UQN7KGDKH7

not attested not anchored not stored refs pending

The Frobenius problem for Generalized Thabit numerical semigroups

Kyunghwan Song

arxiv:1510.04801 v3 · 2015-10-16 · 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{DQQJICXNWMB3LOT3UQN7KGDKH7}

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	2026-05-18T01:15:52.284599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c20940aedb303b5ba7ba41bf5186a3fe215f86cc8a728b511c5ddca7d15c1ff

Aliases

arxiv: 1510.04801 · arxiv_version: 1510.04801v3 · doi: 10.48550/arxiv.1510.04801 · pith_short_12: DQQJICXNWMB3 · pith_short_16: DQQJICXNWMB3LOT3 · pith_short_8: DQQJICXN

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/DQQJICXNWMB3LOT3UQN7KGDKH7 \
  | 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: 1c20940aedb303b5ba7ba41bf5186a3fe215f86cc8a728b511c5ddca7d15c1ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2616cc134fe4fd9c08776dee483d9b033a91e7bd33475105dd03d924f54cef8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-16T07:20:33Z",
    "title_canon_sha256": "fcfe65220cc8953c23b95dd115ed2ba92f35feb761362379f1291e009740f839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04801",
    "kind": "arxiv",
    "version": 3
  }
}