Pith Number

pith:PTNSRKO7

pith:2011:PTNSRKO7GSYA23NI52UVW663IJ

not attested not anchored not stored refs pending

Role of operator semirings in characterizing $\Gamma$-semirings in terms of fuzzy subsets

Sarbani Goswami, Sujit Kumar Sardar, Y. B. Jun

arxiv:1101.4807 v1 · 2011-01-25 · 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{PTNSRKO7GSYA23NI52UVW663IJ}

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	2026-05-18T04:05:47.077419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cdb28a9df34b00d6da8eea95b7bdb42574f2621c4e9fe08a29a18cd1deee75f

Aliases

arxiv: 1101.4807 · arxiv_version: 1101.4807v1 · doi: 10.48550/arxiv.1101.4807 · pith_short_12: PTNSRKO7GSYA · pith_short_16: PTNSRKO7GSYA23NI · pith_short_8: PTNSRKO7

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/PTNSRKO7GSYA23NI52UVW663IJ \
  | 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: 7cdb28a9df34b00d6da8eea95b7bdb42574f2621c4e9fe08a29a18cd1deee75f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9621fdda967578ccce6dc8f078b5aa05a2c59fc77107d20d0b6d923ed088771c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2011-01-25T13:23:08Z",
    "title_canon_sha256": "8f2dacb6a9b936b0b4719e5548f0e62aa4c6b381dfb8b2ceac983c5c541a330f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4807",
    "kind": "arxiv",
    "version": 1
  }
}