Pith Number

pith:GCGPQWT6

pith:2016:GCGPQWT6C34W7SGGKH3QF2MLE3

not attested not anchored not stored refs pending

Conditions that the quotient of $L$-fuzzy up-sets forms a complete lattice

Peng He, Xue-Ping Wang

arxiv:1610.09305 v1 · 2016-10-25 · 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{GCGPQWT6C34W7SGGKH3QF2MLE3}

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	2026-05-18T01:00:52.197780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308cf85a7e16f96fc8c651f702e98b26e1985883b120d755bf181b6c448f4823

Aliases

arxiv: 1610.09305 · arxiv_version: 1610.09305v1 · doi: 10.48550/arxiv.1610.09305 · pith_short_12: GCGPQWT6C34W · pith_short_16: GCGPQWT6C34W7SGG · pith_short_8: GCGPQWT6

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/GCGPQWT6C34W7SGGKH3QF2MLE3 \
  | 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: 308cf85a7e16f96fc8c651f702e98b26e1985883b120d755bf181b6c448f4823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd1d29a1e9dcb60e4054bc61783cc3e6ef9cc1bec3a4d9dd401d44eb201f670",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-10-25T01:00:39Z",
    "title_canon_sha256": "5bffa3128c980b6ed5e67e6e48dacef5b8c7737ac2cd0824e5fa415300a4ca60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09305",
    "kind": "arxiv",
    "version": 1
  }
}