Pith Number

pith:2CXCJNZE

pith:2017:2CXCJNZEZIQG3D2IWHNB4SQXMQ

not attested not anchored not stored refs pending

Redefinition of the concept of fuzzy set based on vague partition from the perspective of axiomatization

Xiaodong Pan, Yang Xu

arxiv:1701.08665 v1 · 2017-01-27 · 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{2CXCJNZEZIQG3D2IWHNB4SQXMQ}

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	2026-05-18T00:51:29.822074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0ae24b724ca206d8f48b1da1e4a1764314a79924787105060aace6918c5464f

Aliases

arxiv: 1701.08665 · arxiv_version: 1701.08665v1 · doi: 10.48550/arxiv.1701.08665 · pith_short_12: 2CXCJNZEZIQG · pith_short_16: 2CXCJNZEZIQG3D2I · pith_short_8: 2CXCJNZE

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/2CXCJNZEZIQG3D2IWHNB4SQXMQ \
  | 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: d0ae24b724ca206d8f48b1da1e4a1764314a79924787105060aace6918c5464f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a5dac6d7bf4f409a6ed3c5465aad287de23563fcd7d628c80e1cc0b30f8e8a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2017-01-27T11:27:45Z",
    "title_canon_sha256": "b8e325e15b62e9f7cf26c36986e4acad908b93e574684623fcecb6fec25c2f1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08665",
    "kind": "arxiv",
    "version": 1
  }
}