Pith Number

pith:2WHDBFP4

pith:2012:2WHDBFP4FI7ON4Q74FE3EBOVE4

not attested not anchored not stored refs pending

Choking horns in Lipschitz Geometry of Complex Algebraic Varieties

Alexandre Fernandes, Donal O'Shea, Lev Birbrair, Vincent Grandjean

arxiv:1206.3105 v1 · 2012-06-14 · math.MG · 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{2WHDBFP4FI7ON4Q74FE3EBOVE4}

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	2026-05-18T03:53:32.693588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d58e3095fc2a3ee6f21fe149b205d5273038309fe50e8a1d01ec17ccc606ed81

Aliases

arxiv: 1206.3105 · arxiv_version: 1206.3105v1 · doi: 10.48550/arxiv.1206.3105 · pith_short_12: 2WHDBFP4FI7O · pith_short_16: 2WHDBFP4FI7ON4Q7 · pith_short_8: 2WHDBFP4

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/2WHDBFP4FI7ON4Q74FE3EBOVE4 \
  | 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: d58e3095fc2a3ee6f21fe149b205d5273038309fe50e8a1d01ec17ccc606ed81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785d52f80cf5b6d11e8c09998dfc235228c1c12d276a5c8a7499465a336c80ff",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-06-14T13:42:29Z",
    "title_canon_sha256": "b6f5e0b15cde19634d8ab4fe2cce8bb2846140917814c0b44bd4de0c6db3fe91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3105",
    "kind": "arxiv",
    "version": 1
  }
}