Pith Number

pith:DGGMOEWU

pith:2017:DGGMOEWUD2T4G2BQ5HZHPBJOR7

not attested not anchored not stored refs pending

Representing numbers as the sum of squares and powers in the ring $\mathbb{Z}_n$

Rob Burns

arxiv:1708.03930 v2 · 2017-08-13 · 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{DGGMOEWUD2T4G2BQ5HZHPBJOR7}

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	2026-05-18T00:34:28.881626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

198cc712d41ea7c36830e9f277852e8fe74867c27bf6489ad14733cb3729823a

Aliases

arxiv: 1708.03930 · arxiv_version: 1708.03930v2 · doi: 10.48550/arxiv.1708.03930 · pith_short_12: DGGMOEWUD2T4 · pith_short_16: DGGMOEWUD2T4G2BQ · pith_short_8: DGGMOEWU

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/DGGMOEWUD2T4G2BQ5HZHPBJOR7 \
  | 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: 198cc712d41ea7c36830e9f277852e8fe74867c27bf6489ad14733cb3729823a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4869c1baa66c27cc2b9d4d89efcd3522f0ee4314248200725261d24508707c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-13T16:39:24Z",
    "title_canon_sha256": "eef20fc8d4bdf1c1b78e53a3bc6b7f01de1298ddf3525b074810da2911625e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03930",
    "kind": "arxiv",
    "version": 2
  }
}