Pith Number

pith:WVQBWCK5

pith:2017:WVQBWCK52O3WIUJFN3DED7HJL5

not attested not anchored not stored refs pending

On the number of representations of $n=a+b$ with $ab$ a multiple of a polygonal number

Hao Zhong, Tianxin Cai

arxiv:1709.06334 v1 · 2017-09-19 · 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{WVQBWCK52O3WIUJFN3DED7HJL5}

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	2026-05-18T00:34:53.493471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5601b095dd3b76451256ec641fce95f49c1228cbd62dd2b85bc4492da5b7c4a

Aliases

arxiv: 1709.06334 · arxiv_version: 1709.06334v1 · doi: 10.48550/arxiv.1709.06334 · pith_short_12: WVQBWCK52O3W · pith_short_16: WVQBWCK52O3WIUJF · pith_short_8: WVQBWCK5

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/WVQBWCK52O3WIUJFN3DED7HJL5 \
  | 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: b5601b095dd3b76451256ec641fce95f49c1228cbd62dd2b85bc4492da5b7c4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab0da33857cd3317a26cf04979ac51337f8361328418d4f91d08c293d9dba69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-19T10:33:59Z",
    "title_canon_sha256": "c4d13c057b6d34cd8d868f774bea69c6b1651f6bee51153f7725d55c5c79f207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06334",
    "kind": "arxiv",
    "version": 1
  }
}