Pith Number

pith:VJN5GTFV

pith:2010:VJN5GTFVWFAPW2XLNPLGGE3HX4

not attested not anchored not stored refs pending

Dominance in the family of Sugeno-Weber t-norms

Manuel Kauers, Susanne Saminger-Platz, Veronika Pillwein

arxiv:1007.5442 v1 · 2010-07-30 · math.FA · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJN5GTFVWFAPW2XLNPLGGE3HX4}

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	2026-05-18T04:42:43.087703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5bd34cb5b140fb6aeb6bd6631367bf32fdccae9b5ef8c6644d87f9b7698623

Aliases

arxiv: 1007.5442 · arxiv_version: 1007.5442v1 · doi: 10.48550/arxiv.1007.5442 · pith_short_12: VJN5GTFVWFAP · pith_short_16: VJN5GTFVWFAPW2XL · pith_short_8: VJN5GTFV

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/VJN5GTFVWFAPW2XLNPLGGE3HX4 \
  | 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: aa5bd34cb5b140fb6aeb6bd6631367bf32fdccae9b5ef8c6644d87f9b7698623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3cb441e085c5284487c73910991a11f27a9394e173c36d197fd1fc72ea3d853",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-30T13:25:32Z",
    "title_canon_sha256": "f60b1ba3f418d6aadf4cb2481e051a9b01f8bd031e9c92c20f077d6b3190861b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5442",
    "kind": "arxiv",
    "version": 1
  }
}