Pith Number

pith:VITBK5HW

pith:2010:VITBK5HWBUC7GOQTZHAXTIDDUR

not attested not anchored not stored refs pending

Interval Groupoids

Florentin Smarandache, Moon Kumar Chetry, W. B. Vasantha Kandasamy

arxiv:1009.1288 v1 · 2010-09-05 · 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{VITBK5HWBUC7GOQTZHAXTIDDUR}

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	2026-05-18T04:41:15.781113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa261574f60d05f33a13c9c179a063a452ac078c10d57370400ac71198b762e3

Aliases

arxiv: 1009.1288 · arxiv_version: 1009.1288v1 · doi: 10.48550/arxiv.1009.1288 · pith_short_12: VITBK5HWBUC7 · pith_short_16: VITBK5HWBUC7GOQT · pith_short_8: VITBK5HW

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/VITBK5HWBUC7GOQTZHAXTIDDUR \
  | 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: aa261574f60d05f33a13c9c179a063a452ac078c10d57370400ac71198b762e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fde4956daca3fb4bc9df241fcb0a1e64c722f2ea1ec83b45e6ef698d6ef72a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2010-09-05T15:34:18Z",
    "title_canon_sha256": "a41077f7e9ee81aeac56ec9337bda280277dd1404c913b84b3fb870139a487dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1288",
    "kind": "arxiv",
    "version": 1
  }
}