Pith Number

pith:QRHHE5FU

pith:2017:QRHHE5FUL6FPXVKXIJXIDON2A7

not attested not anchored not stored refs pending

The Frobenius problem for four numerical semigroups

Kyunghwan Song

arxiv:1706.09246 v3 · 2017-06-28 · 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{QRHHE5FUL6FPXVKXIJXIDON2A7}

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	2026-05-18T00:36:49.254462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

844e7274b45f8afbd557426e81b9ba07d9a9653d6f162ae61cce69120b2971b6

Aliases

arxiv: 1706.09246 · arxiv_version: 1706.09246v3 · doi: 10.48550/arxiv.1706.09246 · pith_short_12: QRHHE5FUL6FP · pith_short_16: QRHHE5FUL6FPXVKX · pith_short_8: QRHHE5FU

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/QRHHE5FUL6FPXVKXIJXIDON2A7 \
  | 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: 844e7274b45f8afbd557426e81b9ba07d9a9653d6f162ae61cce69120b2971b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6225fa9a4db9763c72bdad53b663abd3d4458d3a378b224a96cb83a5404aab51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-28T12:30:21Z",
    "title_canon_sha256": "8a8d7c16e2b252c803d5b87052b9b2b2f3cd7bb42a832ada0070048a98925822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09246",
    "kind": "arxiv",
    "version": 3
  }
}