Pith Number

pith:3K3DNQSO

pith:2000:3K3DNQSOQ4AOY5APYWPIMQYNCM

not attested not anchored not stored refs pending

Generators for the cohomology ring of Hilbert schemes of points on surfaces

Wei-ping Li, Weiqiang Wang, Zhenbo Qin

arxiv:math/0009167 v2 · 2000-09-18 · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3K3DNQSOQ4AOY5APYWPIMQYNCM}

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	2026-07-04T14:34:42.367720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab636c24e8700ec740fc59e86430d133204af9d93b874809bf8fcb78326df6e

Aliases

arxiv: math/0009167 · arxiv_version: math/0009167v2 · doi: 10.48550/arxiv.math/0009167 · pith_short_12: 3K3DNQSOQ4AO · pith_short_16: 3K3DNQSOQ4AOY5AP · pith_short_8: 3K3DNQSO

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/3K3DNQSOQ4AOY5APYWPIMQYNCM \
  | 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: dab636c24e8700ec740fc59e86430d133204af9d93b874809bf8fcb78326df6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c65c93ffa61e985be36450ddc9fd0c9b5dbc8be909e7649bc3b8fdc5a4e6c936",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-09-18T14:53:37Z",
    "title_canon_sha256": "ad02d9b53348825fe8dad2c5db9236457ac78067ac5cbae713f685ff0a0c89d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009167",
    "kind": "arxiv",
    "version": 2
  }
}