Pith Number

pith:BBIJV2B3

pith:2016:BBIJV2B3H6TDZLED2W3N4GHW6U

not attested not anchored not stored refs pending

Interval Valued Bipolar Fuzzy Weighted Neutrosophic Sets and Their Application

Florentin Smaradache, Irfan Deli, Mumtaz Ali, Yusuf \c{S}uba\c{s}

arxiv:1601.01266 v2 · 2016-01-04 · 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{BBIJV2B3H6TDZLED2W3N4GHW6U}

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	2026-05-18T01:21:15.465292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08509ae83b3fa63cac83d5b6de18f6f52abab6f2578735197690a1d4858540ef

Aliases

arxiv: 1601.01266 · arxiv_version: 1601.01266v2 · doi: 10.48550/arxiv.1601.01266 · pith_short_12: BBIJV2B3H6TD · pith_short_16: BBIJV2B3H6TDZLED · pith_short_8: BBIJV2B3

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/BBIJV2B3H6TDZLED2W3N4GHW6U \
  | 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: 08509ae83b3fa63cac83d5b6de18f6f52abab6f2578735197690a1d4858540ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435ebf729444687f94d5fb84bbbcb9d8fb421ccabd9145bf1f9cee82e9b1361c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-01-04T19:59:56Z",
    "title_canon_sha256": "4146320269df4d4e68fd9d49ec65416187fff90f07d76d1556d90cee1105c0f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01266",
    "kind": "arxiv",
    "version": 2
  }
}