Pith Number

pith:I2PYRRQK

pith:2018:I2PYRRQKDJZUNAIMVECHXEJYD3

not attested not anchored not stored refs pending

Universal mixed sums of generalized $4$- and $8$-gonal numbers

Byeong-Kweon Oh, Jangwon Ju

arxiv:1809.03673 v1 · 2018-09-11 · 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{I2PYRRQKDJZUNAIMVECHXEJYD3}

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	2026-05-18T00:05:13.539286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

469f88c60a1a7346810ca9047b91381ee6c209f994295cb9af545dcaa2c85ab4

Aliases

arxiv: 1809.03673 · arxiv_version: 1809.03673v1 · doi: 10.48550/arxiv.1809.03673 · pith_short_12: I2PYRRQKDJZU · pith_short_16: I2PYRRQKDJZUNAIM · pith_short_8: I2PYRRQK

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/I2PYRRQKDJZUNAIMVECHXEJYD3 \
  | 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: 469f88c60a1a7346810ca9047b91381ee6c209f994295cb9af545dcaa2c85ab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2555845cad1703339340f1205a117ff6618723d2c46a4b322a26bbb76341501",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-11T04:17:20Z",
    "title_canon_sha256": "d6c6f0222d4f983f4e2c2894f1c193876da715665fecfbfb495e5f377e68efd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03673",
    "kind": "arxiv",
    "version": 1
  }
}