Pith Number

pith:2HVM2VMC

pith:2006:2HVM2VMC6ODBRYRNM3QZVFL4I4

not attested not anchored not stored refs pending

An action of a Lie algebra on the homology groups of moduli spaces of stable sheaves

Kota Yoshioka

arxiv:math/0605163 v1 · 2006-05-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HVM2VMC6ODBRYRNM3QZVFL4I4}

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	2026-07-04T14:55:02.580254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1eacd5582f38618e22d66e19a957c47397fe8cf3392859b1e2688badcebcc51

Aliases

arxiv: math/0605163 · arxiv_version: math/0605163v1 · doi: 10.48550/arxiv.math/0605163 · pith_short_12: 2HVM2VMC6ODB · pith_short_16: 2HVM2VMC6ODBRYRN · pith_short_8: 2HVM2VMC

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/2HVM2VMC6ODBRYRNM3QZVFL4I4 \
  | 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: d1eacd5582f38618e22d66e19a957c47397fe8cf3392859b1e2688badcebcc51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7c83fd82e8c5265fd050ccd051d3b74a598ada2bc3f0be82ce0b431607f460",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-05-06T09:53:50Z",
    "title_canon_sha256": "d86d9eff3d66b91b147e177ee9905e5bc374e8336d5f6c28af7a06d334ea833d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605163",
    "kind": "arxiv",
    "version": 1
  }
}