Pith Number

pith:SZ2ATPHH

pith:2009:SZ2ATPHHAI4K6NFYNYA6LT4PXC

not attested not anchored not stored refs pending

Topological properties of punctual Hilbert schemes of symplectic 4-dimensional manifolds

Julien Grivaux

arxiv:0906.5277 v3 · 2009-06-29 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZ2ATPHHAI4K6NFYNYA6LT4PXC}

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	2026-05-18T00:33:28.142718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

967409bce70238af34b86e01e5cf8fb8915707c15ea2e7d38dede529f8081e1e

Aliases

arxiv: 0906.5277 · arxiv_version: 0906.5277v3 · doi: 10.48550/arxiv.0906.5277 · pith_short_12: SZ2ATPHHAI4K · pith_short_16: SZ2ATPHHAI4K6NFY · pith_short_8: SZ2ATPHH

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/SZ2ATPHHAI4K6NFYNYA6LT4PXC \
  | 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: 967409bce70238af34b86e01e5cf8fb8915707c15ea2e7d38dede529f8081e1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fb06af85a38caade11b0829531e504999f80222e394d2c2e4177f0599315b03",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-29T15:44:03Z",
    "title_canon_sha256": "ecafb5c604a79cdfb2a4ab751994e931831e85cc1c07f20f9ffa73f245253ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5277",
    "kind": "arxiv",
    "version": 3
  }
}