Pith Number

pith:3Z7YLOTP

pith:2012:3Z7YLOTPVDMERN2WOOEDQEKAMI

not attested not anchored not stored refs pending

Desingularization by blowings-up avoiding simple normal crossings

Edward Bierstone, Franklin Vera Pacheco, Pierre D. Milman, Sergio Da Silva

arxiv:1206.5316 v1 · 2012-06-22 · 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{3Z7YLOTPVDMERN2WOOEDQEKAMI}

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	2026-05-18T03:52:40.422894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7f85ba6fa8d848b7567388381140620d3b96e41055a3e317e1dce3cd3aeedb

Aliases

arxiv: 1206.5316 · arxiv_version: 1206.5316v1 · doi: 10.48550/arxiv.1206.5316 · pith_short_12: 3Z7YLOTPVDME · pith_short_16: 3Z7YLOTPVDMERN2W · pith_short_8: 3Z7YLOTP

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/3Z7YLOTPVDMERN2WOOEDQEKAMI \
  | 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: de7f85ba6fa8d848b7567388381140620d3b96e41055a3e317e1dce3cd3aeedb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee633244032e453aa0e8001ba6232046022a206f48868622e4fc88de0f388b37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-22T20:27:57Z",
    "title_canon_sha256": "dd50bc4014616ebc1a9cd3c88e7e3c5e63123e9c6847de5669b852c3a2d9baae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5316",
    "kind": "arxiv",
    "version": 1
  }
}