Pith Number

pith:WQG7NDN5

pith:2013:WQG7NDN5XW676ZFUBVJZF5CM4G

not attested not anchored not stored refs pending

Parameterized Norm and Parameterized Fixed-Point Theorem by Using Fuzzy Soft Set Theory

Abdul Razak Salleh, Adem Kilicman, Azadeh Zahedi Khameneh

arxiv:1309.4921 v1 · 2013-09-19 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQG7NDN5XW676ZFUBVJZF5CM4G}

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	2026-05-18T03:12:56.901428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b40df68dbdbdbdff64b40d5392f44ce1a5201bf240f542e21744294c140ecb8b

Aliases

arxiv: 1309.4921 · arxiv_version: 1309.4921v1 · doi: 10.48550/arxiv.1309.4921 · pith_short_12: WQG7NDN5XW67 · pith_short_16: WQG7NDN5XW676ZFU · pith_short_8: WQG7NDN5

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/WQG7NDN5XW676ZFUBVJZF5CM4G \
  | 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: b40df68dbdbdbdff64b40d5392f44ce1a5201bf240f542e21744294c140ecb8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e14a80d1edb3863a67e43323ec162bd7ca1092e7c0e76c15035395aea0e446",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-19T10:37:59Z",
    "title_canon_sha256": "e2e3d58729e14e5fdff561203ee26dd176329919f98d5c82f3dab271e6eb82a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4921",
    "kind": "arxiv",
    "version": 1
  }
}