Pith Number

pith:QP6AD7WA

pith:2017:QP6AD7WAROANVNZ76NO6TBQAHG

not attested not anchored not stored refs pending

Hidden constructions in abstract algebra. Krull Dimension of distributive lattices and commutative rings

Henri Lombardi, Thierry Coquand

arxiv:1801.00097 v1 · 2017-12-30 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QP6AD7WAROANVNZ76NO6TBQAHG}

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	2026-05-18T00:26:59.455698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83fc01fec08b80dab73ff35de986003987a0c5a813352455eaa2a466835c7832

Aliases

arxiv: 1801.00097 · arxiv_version: 1801.00097v1 · doi: 10.48550/arxiv.1801.00097 · pith_short_12: QP6AD7WAROAN · pith_short_16: QP6AD7WAROANVNZ7 · pith_short_8: QP6AD7WA

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/QP6AD7WAROANVNZ76NO6TBQAHG \
  | 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: 83fc01fec08b80dab73ff35de986003987a0c5a813352455eaa2a466835c7832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65d6984db5207ef0cdceb2786dba98f84fed35483db9bb4bf536fb5aacf8362b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-12-30T07:59:55Z",
    "title_canon_sha256": "8a491b2ca35eb99cbc5472a70d1c13bd548eed6078fa88fa2db38c99cd0d71bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00097",
    "kind": "arxiv",
    "version": 1
  }
}