Pith Number

pith:IJ5TFYCN

pith:2011:IJ5TFYCNFAGNDXA3XUAWPFTMBC

not attested not anchored not stored refs pending

Nash problem for surfaces

Javier Fernandez de Bobadilla, Maria Pe Pereira

arxiv:1102.2212 v4 · 2011-02-10 · 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{IJ5TFYCNFAGNDXA3XUAWPFTMBC}

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	2026-05-18T04:28:09.235452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

427b32e04d280cd1dc1bbd0167966c0882dcc85e8b306f6b94b44bc487bcf5c8

Aliases

arxiv: 1102.2212 · arxiv_version: 1102.2212v4 · doi: 10.48550/arxiv.1102.2212 · pith_short_12: IJ5TFYCNFAGN · pith_short_16: IJ5TFYCNFAGNDXA3 · pith_short_8: IJ5TFYCN

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/IJ5TFYCNFAGNDXA3XUAWPFTMBC \
  | 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: 427b32e04d280cd1dc1bbd0167966c0882dcc85e8b306f6b94b44bc487bcf5c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b61626b1ee67f1c22ac349703ade1befae6024da287dae7369dd279e4dd1564",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-10T20:05:10Z",
    "title_canon_sha256": "3215533787670483c5037b553ee539803f9c33a43f85f506ea47e40e1aff0589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2212",
    "kind": "arxiv",
    "version": 4
  }
}