Pith Number

pith:3HBYRJSM

pith:2010:3HBYRJSMGK7CBPQJWA3WLHQYIS

not attested not anchored not stored refs pending

An Extreme Family of Generalized Frobenius Numbers

Curtis Kifer, Matthias Beck

arxiv:1005.2692 v2 · 2010-05-15 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HBYRJSMGK7CBPQJWA3WLHQYIS}

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	2026-05-18T03:11:24.333525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c388a64c32be20be09b037659e18449311def25275c7a01431cb6b6b9991c2

Aliases

arxiv: 1005.2692 · arxiv_version: 1005.2692v2 · doi: 10.48550/arxiv.1005.2692 · pith_short_12: 3HBYRJSMGK7C · pith_short_16: 3HBYRJSMGK7CBPQJ · pith_short_8: 3HBYRJSM

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/3HBYRJSMGK7CBPQJWA3WLHQYIS \
  | 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: d9c388a64c32be20be09b037659e18449311def25275c7a01431cb6b6b9991c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5994c4bff01206709f4904bf33d8a792bb0234570bafd3c4893ed25df333718e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-15T18:19:51Z",
    "title_canon_sha256": "77645aaed9283a57a11c98a77331b275e2b75a39e2dda3973b880eddfae221fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2692",
    "kind": "arxiv",
    "version": 2
  }
}