Pith Number

pith:B5RNR6GT

pith:2012:B5RNR6GTMNMOD2GGZ4UHF4HSWZ

not attested not anchored not stored refs pending

Some new similarity measures for hesitant fuzzy sets and their applications in multiple attribute decision making

Qingguo Li, Xiaoqiang Zhou

arxiv:1211.4125 v2 · 2012-11-17 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5RNR6GTMNMOD2GGZ4UHF4HSWZ}

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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	2026-05-18T03:37:52.285447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f62d8f8d36358e1e8c6cf2872f0f2b65953559ad0e775d36cf1d980ebe1c8a7

Aliases

arxiv: 1211.4125 · arxiv_version: 1211.4125v2 · doi: 10.48550/arxiv.1211.4125 · pith_short_12: B5RNR6GTMNMO · pith_short_16: B5RNR6GTMNMOD2GG · pith_short_8: B5RNR6GT

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/B5RNR6GTMNMOD2GGZ4UHF4HSWZ \
  | 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: 0f62d8f8d36358e1e8c6cf2872f0f2b65953559ad0e775d36cf1d980ebe1c8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ef4631d077f8e179e56d9c00eef490405c70479364d34d622572d56c941a4e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-11-17T14:13:32Z",
    "title_canon_sha256": "c4a2a3598b6bd5c9e45c875254dc14f73c1f1ce4678823030b4ed23f5565617c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4125",
    "kind": "arxiv",
    "version": 2
  }
}