Pith Number

pith:5HYLCAKP

pith:2012:5HYLCAKPZZAJFLXQ37ALI4VG5L

not attested not anchored not stored refs pending

Natural Product Xn on matrices

Florentin Smarandache, W. B. Vasantha Kandasamy

arxiv:1202.4358 v1 · 2012-02-20 · 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{5HYLCAKPZZAJFLXQ37ALI4VG5L}

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	2026-05-18T04:01:51.660216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f0b1014fce4092aef0dfc0b472a6eadf91813f1c98d9c73cd472946a292a79

Aliases

arxiv: 1202.4358 · arxiv_version: 1202.4358v1 · doi: 10.48550/arxiv.1202.4358 · pith_short_12: 5HYLCAKPZZAJ · pith_short_16: 5HYLCAKPZZAJFLXQ · pith_short_8: 5HYLCAKP

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/5HYLCAKPZZAJFLXQ37ALI4VG5L \
  | 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: e9f0b1014fce4092aef0dfc0b472a6eadf91813f1c98d9c73cd472946a292a79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a2d23653b1041d6790e62960f5d98050307e2e558ae076b6f34a380803cb19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2012-02-20T15:30:43Z",
    "title_canon_sha256": "df34976ae6f6d72e99a0509dca4df7d4df34b4f6d16f95df5f5d6d190f19cebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4358",
    "kind": "arxiv",
    "version": 1
  }
}