Pith Number

pith:5XYLYLLK

pith:2019:5XYLYLLKMLMPYERRLIF7G6HTYY

not attested not anchored not stored refs pending

A reduction formula for Waring numbers through generalized Paley graphs

Denis E. Videla, Ricardo A. Podest\'a

arxiv:1911.12761 v4 · 2019-11-28 · 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{5XYLYLLKMLMPYERRLIF7G6HTYY}

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	2026-07-05T04:29:06.555980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edf0bc2d6a62d8fc12315a0bf378f3c610295e66da7fa94727f83d5563449cfe

Aliases

arxiv: 1911.12761 · arxiv_version: 1911.12761v4 · doi: 10.48550/arxiv.1911.12761 · pith_short_12: 5XYLYLLKMLMP · pith_short_16: 5XYLYLLKMLMPYERR · pith_short_8: 5XYLYLLK

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/5XYLYLLKMLMPYERRLIF7G6HTYY \
  | 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: edf0bc2d6a62d8fc12315a0bf378f3c610295e66da7fa94727f83d5563449cfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e46ef37c38021be08f35ff19aa23cf26349c6da8e829bd8a7d0f29b3349f04a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-11-28T15:59:11Z",
    "title_canon_sha256": "5b630d479460ff72d519e0688a8ff70ad199435f874b9e57181cc4e569953a2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12761",
    "kind": "arxiv",
    "version": 4
  }
}