Pith Number

pith:4LK7JE5B

pith:2017:4LK7JE5B7MOYW2TRX37P2YKNOX

not attested not anchored not stored refs pending

A comparative study of ideals in fuzzy orders

Dexue Zhang, Gao Zhang, Hongliang Lai

arxiv:1704.05172 v3 · 2017-04-18 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LK7JE5B7MOYW2TRX37P2YKNOX}

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	2026-05-18T00:14:16.522301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d5f493a1fb1d8b6a71befefd614d75e1c26e36b3d3032aaae4b2964efe17dc

Aliases

arxiv: 1704.05172 · arxiv_version: 1704.05172v3 · doi: 10.48550/arxiv.1704.05172 · pith_short_12: 4LK7JE5B7MOY · pith_short_16: 4LK7JE5B7MOYW2TR · pith_short_8: 4LK7JE5B

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/4LK7JE5B7MOYW2TRX37P2YKNOX \
  | 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: e2d5f493a1fb1d8b6a71befefd614d75e1c26e36b3d3032aaae4b2964efe17dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f298e023673402ed3978f413897a244c3f751fce496f7cdb6d51a37ae99b6aff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2017-04-18T02:09:38Z",
    "title_canon_sha256": "bd3d9f2dec1473826f5496f789f3ce7220f82f4249c760ead655876393f85919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05172",
    "kind": "arxiv",
    "version": 3
  }
}