Pith Number

pith:O4UWCDIT

pith:2001:O4UWCDITEMMT5HOY6IC2ETDYRY

not attested not anchored not stored refs pending

Stability of the cohomology rings of Hilbert schemes of points on surfaces

Wei-ping Li, Weiqiang Wang, Zhenbo Qin

arxiv:math/0107139 v2 · 2001-07-19 · 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{O4UWCDITEMMT5HOY6IC2ETDYRY}

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	2026-07-04T14:35:26.377940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7729610d1323193e9dd8f205a24c788e3e04cae5fe145e8b11db680757c8e45b

Aliases

arxiv: math/0107139 · arxiv_version: math/0107139v2 · doi: 10.48550/arxiv.math/0107139 · pith_short_12: O4UWCDITEMMT · pith_short_16: O4UWCDITEMMT5HOY · pith_short_8: O4UWCDIT

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/O4UWCDITEMMT5HOY6IC2ETDYRY \
  | 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: 7729610d1323193e9dd8f205a24c788e3e04cae5fe145e8b11db680757c8e45b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b548fc7b46095b74d2a663fdcb724da78ee119ffa7270a0093caf22643ddd7a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-07-19T19:03:05Z",
    "title_canon_sha256": "4a4ceced8e440b0fa14bff79dccd5a251aa9c3eacac3e8d10f97d487ca2f6324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107139",
    "kind": "arxiv",
    "version": 2
  }
}