Pith Number

pith:ZL5UQRSB

pith:2013:ZL5UQRSBC7RI6MJZKT7EU6TU2B

not attested not anchored not stored refs pending

Bipolar Fuzzy Soft sets and its applications in decision making problem

Kifayat Ullah, Muhammad aslam, Saleem Abdullah

arxiv:1303.6932 v1 · 2013-03-23 · cs.AI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZL5UQRSBC7RI6MJZKT7EU6TU2B}

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	2026-05-18T02:56:58.490250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cafb48464117e28f313954fe4a7a74d07d74c9b1b41a5ffb3d876136b3613b3f

Aliases

arxiv: 1303.6932 · arxiv_version: 1303.6932v1 · doi: 10.48550/arxiv.1303.6932 · pith_short_12: ZL5UQRSBC7RI · pith_short_16: ZL5UQRSBC7RI6MJZ · pith_short_8: ZL5UQRSB

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/ZL5UQRSBC7RI6MJZKT7EU6TU2B \
  | 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: cafb48464117e28f313954fe4a7a74d07d74c9b1b41a5ffb3d876136b3613b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8481ba7be56db6cab0d632689c1cac90023d5012e7f23c0f7f091e1d3a4041d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2013-03-23T19:26:43Z",
    "title_canon_sha256": "f675da3be8ed9a20e6ec2b92df70ffdaa75b30f0343bf2be5cba6329c598b3e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6932",
    "kind": "arxiv",
    "version": 1
  }
}