Pith Number

pith:ZUYCHLL3

pith:2000:ZUYCHLL3ZYCNOJORXLHDMYHKSE

not attested not anchored not stored refs pending

Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces

Wei-ping Li, Weiqiang Wang, Zhenbo Qin

arxiv:math/0009132 v3 · 2000-09-13 · 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{ZUYCHLL3ZYCNOJORXLHDMYHKSE}

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	2026-07-04T14:34:42.019402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd3023ad7bce04d725d1bace3660ea910b9d99c6b5647835a2e1e54e718b711a

Aliases

arxiv: math/0009132 · arxiv_version: math/0009132v3 · doi: 10.48550/arxiv.math/0009132 · pith_short_12: ZUYCHLL3ZYCN · pith_short_16: ZUYCHLL3ZYCNOJOR · pith_short_8: ZUYCHLL3

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/ZUYCHLL3ZYCNOJORXLHDMYHKSE \
  | 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: cd3023ad7bce04d725d1bace3660ea910b9d99c6b5647835a2e1e54e718b711a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a299a2808c5cb4aeaa51cc30bbf15cff5a137a58abd36310b59e4a7a5780399",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-09-13T18:01:55Z",
    "title_canon_sha256": "862aac1ebeef33acaa207a18912fa2ee835def4b9bf378a74ca6b21f6bd7b551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009132",
    "kind": "arxiv",
    "version": 3
  }
}