Pith Number

pith:WK2HE3NU

pith:2010:WK2HE3NUTUQ25W2U4SBH7V3K7P

not attested not anchored not stored refs pending

The classes of the quasihomogeneous Hilbert schemes of points on the plane

A. Buryak

arxiv:1011.4459 v2 · 2010-11-19 · math.AG · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WK2HE3NUTUQ25W2U4SBH7V3K7P}

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	2026-05-18T02:30:48.110583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b4726db49d21aedb54e4827fd76afbea4240079dfd84221f67e2df963471cb

Aliases

arxiv: 1011.4459 · arxiv_version: 1011.4459v2 · doi: 10.48550/arxiv.1011.4459 · pith_short_12: WK2HE3NUTUQ2 · pith_short_16: WK2HE3NUTUQ25W2U · pith_short_8: WK2HE3NU

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/WK2HE3NUTUQ25W2U4SBH7V3K7P \
  | 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: b2b4726db49d21aedb54e4827fd76afbea4240079dfd84221f67e2df963471cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca07a1e6f43b73f6c5c52a78c15ea544956e311f8eec7c0f8600c92794c55b7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-19T16:13:41Z",
    "title_canon_sha256": "ab7834145863b5f0c22b9220f527ccf70ea180a4c7e01179f4ca1b8d4d90f8ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4459",
    "kind": "arxiv",
    "version": 2
  }
}