Pith Number

pith:QAI72CEV

pith:2002:QAI72CEVUKZVYL6J6GQ72C7KDN

not attested not anchored not stored refs pending

Ideals of the cohomology rings of Hilbert schemes and their applications

Wei-ping Li, Weiqiang Wang, Zhenbo Qin

arxiv:math/0208070 v2 · 2002-08-09 · 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{QAI72CEVUKZVYL6J6GQ72C7KDN}

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	2026-07-04T14:36:22.227539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8011fd0895a2b35c2fc9f1a1fd0bea1b60437647b6868376a9237bf3cb98b0e7

Aliases

arxiv: math/0208070 · arxiv_version: math/0208070v2 · doi: 10.48550/arxiv.math/0208070 · pith_short_12: QAI72CEVUKZV · pith_short_16: QAI72CEVUKZVYL6J · pith_short_8: QAI72CEV

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/QAI72CEVUKZVYL6J6GQ72C7KDN \
  | 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: 8011fd0895a2b35c2fc9f1a1fd0bea1b60437647b6868376a9237bf3cb98b0e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e006cd4c450462412427486040507825199df3e1ecfd6b1bbf86d03a9ddc9667",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-08-09T02:42:23Z",
    "title_canon_sha256": "a730b9f63dcd017eb351a12693a48c0a7803965d0dcaca3b7d4f4dc6d8ba6bff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208070",
    "kind": "arxiv",
    "version": 2
  }
}