Pith Number

pith:LTZSXSMD

pith:2019:LTZSXSMDPK76NOXHRAHELX2T5W

not attested not anchored not stored refs pending

Fermat's polygonal number theorem for repeated generalized polygonal numbers

Ben Kane, Dayoon Park, Hiu Chun So, Manav Batavia, Muratzhan Kyranbay, Piyush Varyani, Sagnik Saha, Soumyarup Banerjee

arxiv:1908.02102 v4 · 2019-08-06 · 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{LTZSXSMDPK76NOXHRAHELX2T5W}

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	2026-07-05T01:01:20.420877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf32bc9837abfe6bae7880e45df53ed9ea4c8b89ee36e828b53d5fb15c81778

Aliases

arxiv: 1908.02102 · arxiv_version: 1908.02102v4 · doi: 10.48550/arxiv.1908.02102 · pith_short_12: LTZSXSMDPK76 · pith_short_16: LTZSXSMDPK76NOXH · pith_short_8: LTZSXSMD

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/LTZSXSMDPK76NOXHRAHELX2T5W \
  | 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: 5cf32bc9837abfe6bae7880e45df53ed9ea4c8b89ee36e828b53d5fb15c81778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31e122341daee5fbb29d147e9ca8856ea55e48d53f483891aca7b690d394de8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-06T12:17:33Z",
    "title_canon_sha256": "73b41058ee67acaeae831e0d22f3b0bf2dd8b34588caaa136dc7f15a0d4d3885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02102",
    "kind": "arxiv",
    "version": 4
  }
}