Pith Number

pith:4SDHQDTK

pith:2013:4SDHQDTKOIODGT2JN4PBJ4W5M3

not attested not anchored not stored refs pending

The sum of the squares of p positive integers which are consecutive terms of an arithmetic progression: Always a non-perfect square when p(a prime)=3 or p is congruent to 5 or 7 modulo 12

Konstantine Zelator

arxiv:1311.6484 v1 · 2013-11-21 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SDHQDTKOIODGT2JN4PBJ4W5M3}

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	2026-05-18T03:06:12.541366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e486780e6a721c334f496f1e14f2dd66cc320cab4207efb3a1690ab7d02e205c

Aliases

arxiv: 1311.6484 · arxiv_version: 1311.6484v1 · doi: 10.48550/arxiv.1311.6484 · pith_short_12: 4SDHQDTKOIOD · pith_short_16: 4SDHQDTKOIODGT2J · pith_short_8: 4SDHQDTK

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/4SDHQDTKOIODGT2JN4PBJ4W5M3 \
  | 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: e486780e6a721c334f496f1e14f2dd66cc320cab4207efb3a1690ab7d02e205c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "246534e42dc4ac0c60c4b81ff74cd3cd32631e5ec7536f034d03f8875cb5b442",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2013-11-21T21:05:21Z",
    "title_canon_sha256": "268a6582baa65673c20476ac550b6ced6abb5bf8afab063f590e4527e30d6c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6484",
    "kind": "arxiv",
    "version": 1
  }
}