Pith Number

pith:6OLXIWBW

pith:2015:6OLXIWBWZEGF7FQHTNLAN7YZNS

not attested not anchored not stored refs pending

Resolution of singularities of the cotangent sheaf of a singular variety

Andre Belotto da Silva, Edward Bierstone, Pierre D. Milman, Vincent Grandjean

arxiv:1504.07280 v2 · 2015-04-27 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OLXIWBWZEGF7FQHTNLAN7YZNS}

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	2026-05-18T01:27:39.354741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f397745836c90c5f96079b5606ff196cb31e95cd8f4cbaa78a368010fd458f34

Aliases

arxiv: 1504.07280 · arxiv_version: 1504.07280v2 · doi: 10.48550/arxiv.1504.07280 · pith_short_12: 6OLXIWBWZEGF · pith_short_16: 6OLXIWBWZEGF7FQH · pith_short_8: 6OLXIWBW

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/6OLXIWBWZEGF7FQHTNLAN7YZNS \
  | 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: f397745836c90c5f96079b5606ff196cb31e95cd8f4cbaa78a368010fd458f34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79a764c21ce0af51eae25fc5e3d3b3d6d5de1d5e46b12f7ed1ca3871ddaf913",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-27T21:13:06Z",
    "title_canon_sha256": "4efc35b0b9b23f79be24d0d291f18d1b6ee8a3b500968f71686e9df7539b9988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07280",
    "kind": "arxiv",
    "version": 2
  }
}