Pith Number

pith:UZCSC2NU

pith:2010:UZCSC2NUVS5UN4RJJBTO3Q24K3

not attested not anchored not stored refs pending

The Betti numbers of the moduli space of stable sheaves of rank 3 on P2

Jan Manschot

arxiv:1009.1775 v3 · 2010-09-09 · math-ph · hep-th · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZCSC2NUVS5UN4RJJBTO3Q24K3}

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	2026-05-18T04:12:54.954206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6452169b4acbb46f2294866edc35c56c2fd71e5cc3a79b8603354e7876fe7eb

Aliases

arxiv: 1009.1775 · arxiv_version: 1009.1775v3 · doi: 10.48550/arxiv.1009.1775 · pith_short_12: UZCSC2NUVS5U · pith_short_16: UZCSC2NUVS5UN4RJ · pith_short_8: UZCSC2NU

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/UZCSC2NUVS5UN4RJJBTO3Q24K3 \
  | 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: a6452169b4acbb46f2294866edc35c56c2fd71e5cc3a79b8603354e7876fe7eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d17981669cf85340cc3bb3551f96c48a26486c9bd65ca0134928fdaa0854a9",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-09T13:32:14Z",
    "title_canon_sha256": "166de77888a529c3f06820b457028a352fe9833b31b47bba44e57c130b20fe9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1775",
    "kind": "arxiv",
    "version": 3
  }
}