Pith Number

pith:5VTBRL4S

pith:2017:5VTBRL4S5LOTSGUQAQV44ZX3X4

not attested not anchored not stored refs pending

Universal sums of generalized octagonal numbers

Byeong-Kweon Oh, Jangwon Ju

arxiv:1704.08826 v2 · 2017-04-28 · 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{5VTBRL4S5LOTSGUQAQV44ZX3X4}

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	2026-05-18T00:39:46.260292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6618af92eadd391a90042bce66fbbf042dd1e0da48879442ac70577a44b9c0

Aliases

arxiv: 1704.08826 · arxiv_version: 1704.08826v2 · doi: 10.48550/arxiv.1704.08826 · pith_short_12: 5VTBRL4S5LOT · pith_short_16: 5VTBRL4S5LOTSGUQ · pith_short_8: 5VTBRL4S

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/5VTBRL4S5LOTSGUQAQV44ZX3X4 \
  | 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: ed6618af92eadd391a90042bce66fbbf042dd1e0da48879442ac70577a44b9c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb57fe1f8845cb596fdcaea52cfc7386d89822b17373722eb985cddd0e1204ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-28T07:17:46Z",
    "title_canon_sha256": "98ae3c960809954a13b475d72fdfa8173eade13e5066b8d6ce4ebaec8b232797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08826",
    "kind": "arxiv",
    "version": 2
  }
}