Pith Number

pith:PEI2ENIJ

pith:2012:PEI2ENIJ4M5CPAFP7SYPCHK6QG

not attested not anchored not stored refs pending

The sum of the r'th roots of first n natural numbers and new formula for factorial

Snehal Shekatkar

arxiv:1204.0877 v2 · 2012-04-04 · 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{PEI2ENIJ4M5CPAFP7SYPCHK6QG}

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	2026-05-18T03:33:50.070679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7911a23509e33a2780affcb0f11d5e81a0c86b662270c11f1e05a3b748eac10f

Aliases

arxiv: 1204.0877 · arxiv_version: 1204.0877v2 · doi: 10.48550/arxiv.1204.0877 · pith_short_12: PEI2ENIJ4M5C · pith_short_16: PEI2ENIJ4M5CPAFP · pith_short_8: PEI2ENIJ

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/PEI2ENIJ4M5CPAFP7SYPCHK6QG \
  | 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: 7911a23509e33a2780affcb0f11d5e81a0c86b662270c11f1e05a3b748eac10f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "585027a06e1e5ae594428fcd775a69e82e92324ecef47789074b8c0df0723732",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-04T07:06:17Z",
    "title_canon_sha256": "1f60a99f8a97f2c87787ac48626c06fb7b84180227edcb9a2bad8ce8c1059e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0877",
    "kind": "arxiv",
    "version": 2
  }
}