Pith Number

pith:NOBQFW4R

pith:2010:NOBQFW4RFMK3G7NOY5P5A2U7WO

not attested not anchored not stored refs pending

Nash problem for surface singularities is a topological problem

Javier Fernandez de Bobadilla

arxiv:1011.6335 v1 · 2010-11-29 · 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{NOBQFW4RFMK3G7NOY5P5A2U7WO}

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	2026-05-18T04:34:35.988972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b8302db912b15b37daec75fd06a9fb39b5f29ede0b92a1fe42dc6e5a10cc57c

Aliases

arxiv: 1011.6335 · arxiv_version: 1011.6335v1 · doi: 10.48550/arxiv.1011.6335 · pith_short_12: NOBQFW4RFMK3 · pith_short_16: NOBQFW4RFMK3G7NO · pith_short_8: NOBQFW4R

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/NOBQFW4RFMK3G7NOY5P5A2U7WO \
  | 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: 6b8302db912b15b37daec75fd06a9fb39b5f29ede0b92a1fe42dc6e5a10cc57c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09128a6a1aa30ba729f8efc10687a815790cdf100f81d84b26cfd226115ce323",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-29T19:14:46Z",
    "title_canon_sha256": "5734f37f5815711ec9afa1e2ae2f6a84175781b9190f7cb9abded786cd5de91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6335",
    "kind": "arxiv",
    "version": 1
  }
}