Pith Number

pith:T3KGGHAN

pith:2016:T3KGGHANJTT3FYBSTJ3E5BAOSB

not attested not anchored not stored refs pending

On the uniqueness of $L$-fuzzy sets in the representation of families of sets

Peng He, Xue-Ping Wang

arxiv:1610.03532 v4 · 2016-10-10 · math.LO · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3KGGHANJTT3FYBSTJ3E5BAOSB}

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	2026-05-17T23:57:03.465489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed4631c0d4ce7b2e0329a764e840e904f521106f004ceb3e479ce6373dd34fc

Aliases

arxiv: 1610.03532 · arxiv_version: 1610.03532v4 · doi: 10.48550/arxiv.1610.03532 · pith_short_12: T3KGGHANJTT3 · pith_short_16: T3KGGHANJTT3FYBS · pith_short_8: T3KGGHAN

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/T3KGGHANJTT3FYBSTJ3E5BAOSB \
  | 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: 9ed4631c0d4ce7b2e0329a764e840e904f521106f004ceb3e479ce6373dd34fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82ad53a07d7d3da8e1319ca36414c74236e7d4e7d794170a740a08c507ccca1a",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-10-10T11:49:00Z",
    "title_canon_sha256": "cc6d8b87c0cbddfdb4553f4c744c25fa750126a26b12a8d93d20dc21682216a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03532",
    "kind": "arxiv",
    "version": 4
  }
}