Pith Number

pith:CQWZSGPI

pith:2010:CQWZSGPIRRDDLJFODAVDTDDBSL

not attested not anchored not stored refs pending

A Brian\c{c}on-Skoda type result for a non-reduced analytic space

Jacob Sznajdman

arxiv:1001.0322 v3 · 2010-01-02 · math.CV · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQWZSGPIRRDDLJFODAVDTDDBSL}

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	2026-05-18T02:26:32.136020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

142d9919e88c4635a4ae182a398c6192fbf9eff516f04055110146851f222273

Aliases

arxiv: 1001.0322 · arxiv_version: 1001.0322v3 · doi: 10.48550/arxiv.1001.0322 · pith_short_12: CQWZSGPIRRDD · pith_short_16: CQWZSGPIRRDDLJFO · pith_short_8: CQWZSGPI

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/CQWZSGPIRRDDLJFODAVDTDDBSL \
  | 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: 142d9919e88c4635a4ae182a398c6192fbf9eff516f04055110146851f222273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "264dbe9c7a2c34170f760b8c667e5e50c353f36a7de54974b3f5649acf35cc8a",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-01-02T18:00:38Z",
    "title_canon_sha256": "635f561ed7633c990e6efb717e37b7ec2ff5034c995ac49eadccae3db94e7c46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0322",
    "kind": "arxiv",
    "version": 3
  }
}