Pith Number

pith:ZTYC5YOK

pith:2015:ZTYC5YOKKKVPMWH7IYTERKWUNT

not attested not anchored not stored refs pending

On the Sum of the Square of a Prime and a Square-Free Number

Adrian Dudek, Dave Platt

arxiv:1505.03677 v2 · 2015-04-14 · 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{ZTYC5YOKKKVPMWH7IYTERKWUNT}

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	2026-05-17T23:53:13.850923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf02ee1ca52aaf658ff462648aad46cd858780cccb3c57403538454850b9594

Aliases

arxiv: 1505.03677 · arxiv_version: 1505.03677v2 · doi: 10.48550/arxiv.1505.03677 · pith_short_12: ZTYC5YOKKKVP · pith_short_16: ZTYC5YOKKKVPMWH7 · pith_short_8: ZTYC5YOK

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/ZTYC5YOKKKVPMWH7IYTERKWUNT \
  | 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: ccf02ee1ca52aaf658ff462648aad46cd858780cccb3c57403538454850b9594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035baffa6dc9390844072e3c403946f1ae2023241ef64f9bfed5a8016f434a07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-14T03:01:15Z",
    "title_canon_sha256": "6bd25501677451995084f0c5201b833315941913aec66b35f9442a15c51289ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03677",
    "kind": "arxiv",
    "version": 2
  }
}