Pith Number

pith:45YKKSTH

pith:2014:45YKKSTH3ZDMAWIG5CEGJFSFLF

not attested not anchored not stored refs pending

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

Adrian Dudek

arxiv:1410.7459 v1 · 2014-10-27 · 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{45YKKSTH3ZDMAWIG5CEGJFSFLF}

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	2026-05-18T02:39:17.105903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e770a54a67de46c05906e888649645597b86ec1f7b1b9d09a48613d26f5f49fa

Aliases

arxiv: 1410.7459 · arxiv_version: 1410.7459v1 · doi: 10.48550/arxiv.1410.7459 · pith_short_12: 45YKKSTH3ZDM · pith_short_16: 45YKKSTH3ZDMAWIG · pith_short_8: 45YKKSTH

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/45YKKSTH3ZDMAWIG5CEGJFSFLF \
  | 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: e770a54a67de46c05906e888649645597b86ec1f7b1b9d09a48613d26f5f49fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013146160a657e0bf5bfb9a7632b5c2f342c5a074dd254a4e4e010625362448e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-27T23:23:50Z",
    "title_canon_sha256": "626cb9633d0d54b9fdeb604242946a595126355a54fb2a5b7194d5941e8d19a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7459",
    "kind": "arxiv",
    "version": 1
  }
}