Pith Number

pith:NXVTZA5I

pith:2021:NXVTZA5IN5HBHH3JB46E6HUDHS

not attested not anchored not stored refs pending

Squares with three digits

Anne Zahn, Michael Gei{\ss}er, Sascha Kurz, Theresa K\"orner

arxiv:2112.00444 v2 · 2021-12-01 · 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{NXVTZA5IN5HBHH3JB46E6HUDHS}

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	2026-07-05T03:47:02.663744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6deb3c83a86f4e139f690f3c4f1e833cad47ab98612a8171b86f58b655f806cb

Aliases

arxiv: 2112.00444 · arxiv_version: 2112.00444v2 · doi: 10.48550/arxiv.2112.00444 · pith_short_12: NXVTZA5IN5HB · pith_short_16: NXVTZA5IN5HBHH3J · pith_short_8: NXVTZA5I

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/NXVTZA5IN5HBHH3JB46E6HUDHS \
  | 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: 6deb3c83a86f4e139f690f3c4f1e833cad47ab98612a8171b86f58b655f806cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e63e711dbc87a4c729caf84c15a14ed2b84cba7faf471feee377233aecd43158",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-01T12:10:48Z",
    "title_canon_sha256": "bd1512e44e84ce853d9d45dab129d882cedd6d2ed5e7bd4371a0ef462f5bc9b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00444",
    "kind": "arxiv",
    "version": 2
  }
}