Pith Number

pith:OZZKCHRE

pith:2014:OZZKCHRE2XDBCIPYGPFWJ6SSY3

not attested not anchored not stored refs pending

Noncommutative (crepant) desingularizations and the global spectrum of commutative rings

Colin Ingalls, Eleonore Faber, Hailong Dao

arxiv:1401.3000 v3 · 2014-01-13 · math.AC · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZZKCHRE2XDBCIPYGPFWJ6SSY3}

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	2026-05-18T02:32:14.234064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7672a11e24d5c61121f833cb64fa52c6c7456dfd44776ae88499e3b340808e42

Aliases

arxiv: 1401.3000 · arxiv_version: 1401.3000v3 · doi: 10.48550/arxiv.1401.3000 · pith_short_12: OZZKCHRE2XDB · pith_short_16: OZZKCHRE2XDBCIPY · pith_short_8: OZZKCHRE

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/OZZKCHRE2XDBCIPYGPFWJ6SSY3 \
  | 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: 7672a11e24d5c61121f833cb64fa52c6c7456dfd44776ae88499e3b340808e42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "885f3ab3f1f2616c71afecc6b82790ed8d435b806c39588b7212e8a57ca63393",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-01-13T21:00:19Z",
    "title_canon_sha256": "6405c4dcc0a3101f32dbc1b1dfe5e936e2e706d72eeb1ccd28672655ba62b7b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3000",
    "kind": "arxiv",
    "version": 3
  }
}