Pith Number

pith:HT5RWKI4

pith:2026:HT5RWKI4J2ZOTJK2625B3TFC44

not attested not anchored not stored refs pending

Perfect powers in sequences of polygonal numbers

Andrzej D\k{a}browski, G\"okhan Soydan, Paul M. Voutier, Salah Eddine Rihane

arxiv:2606.28227 v1 · 2026-06-26 · 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{HT5RWKI4J2ZOTJK2625B3TFC44}

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	2026-06-29T01:15:09.836225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfb1b291c4eb2e9a55af6ba1dcca2e725d423c26f276debe5d0294110d5259e

Aliases

arxiv: 2606.28227 · arxiv_version: 2606.28227v1 · doi: 10.48550/arxiv.2606.28227 · pith_short_12: HT5RWKI4J2ZO · pith_short_16: HT5RWKI4J2ZOTJK2 · pith_short_8: HT5RWKI4

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/HT5RWKI4J2ZOTJK2625B3TFC44 \
  | 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: 3cfb1b291c4eb2e9a55af6ba1dcca2e725d423c26f276debe5d0294110d5259e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d76f1e9014a41c78a096c209afefc5f86f291f5292a1b41150176a616120c531",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-26T16:17:48Z",
    "title_canon_sha256": "d37b2b291c88574e1c14df6ca37141481766b962e4b18885ae5aeed57a0b43e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28227",
    "kind": "arxiv",
    "version": 1
  }
}