Pith Number

pith:JURT3Z2M

pith:2013:JURT3Z2MSB4ESNGSE7WHKK25MO

not attested not anchored not stored refs pending

Desingularization preserving stable simple normal crossings

Edward Bierstone, Franklin Vera Pacheco

arxiv:1311.7156 v1 · 2013-11-27 · 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{JURT3Z2MSB4ESNGSE7WHKK25MO}

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	2026-05-18T03:05:57.104117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d233de74c90784934d227ec752b5d63994f33242998ee3ac7e55fce7e7bbc91

Aliases

arxiv: 1311.7156 · arxiv_version: 1311.7156v1 · doi: 10.48550/arxiv.1311.7156 · pith_short_12: JURT3Z2MSB4E · pith_short_16: JURT3Z2MSB4ESNGS · pith_short_8: JURT3Z2M

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/JURT3Z2MSB4ESNGSE7WHKK25MO \
  | 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: 4d233de74c90784934d227ec752b5d63994f33242998ee3ac7e55fce7e7bbc91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edd6c8f48699d317318df48bf6f4cfa3bfaf758c9e575f2ce66342b8fb731898",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-27T21:10:14Z",
    "title_canon_sha256": "1f60ed4909c200c5d63c342e30e1a767b7ab7ab15e0892361f8477da943debd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7156",
    "kind": "arxiv",
    "version": 1
  }
}