Pith Number

pith:QNLQHOSE

pith:2011:QNLQHOSESKK2QNKXWNWLL7AZ7S

not attested not anchored not stored refs pending

DSm Vector Spaces of Refined Labels

Florentin Smarandache, W. B. Vasantha Kandasamy

arxiv:1112.0549 v1 · 2011-12-02 · 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{QNLQHOSESKK2QNKXWNWLL7AZ7S}

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	2026-05-18T04:07:07.055582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

835703ba449295a83557b36cb5fc19fc8fd7ca5eb1fa599800fe6ec46c368c85

Aliases

arxiv: 1112.0549 · arxiv_version: 1112.0549v1 · doi: 10.48550/arxiv.1112.0549 · pith_short_12: QNLQHOSESKK2 · pith_short_16: QNLQHOSESKK2QNKX · pith_short_8: QNLQHOSE

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/QNLQHOSESKK2QNKXWNWLL7AZ7S \
  | 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: 835703ba449295a83557b36cb5fc19fc8fd7ca5eb1fa599800fe6ec46c368c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57897270fdf56c42e28864d7b0cf060d252f3202c821096d8c5bb1dd9622ff03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2011-12-02T19:57:19Z",
    "title_canon_sha256": "26d9880e20f54ea6ffb19e2ef722620a487ae9f1e9e40a8b79617800a924e089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0549",
    "kind": "arxiv",
    "version": 1
  }
}