Pith Number

pith:F6LXQPI4

pith:2009:F6LXQPI4SZRTHWAQ2MBWYPLBLD

not attested not anchored not stored refs pending

Vertex Operators and Moduli Spaces of Sheaves

Erik Carlsson

arxiv:0906.1825 v1 · 2009-06-09 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6LXQPI4SZRTHWAQ2MBWYPLBLD}

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.

Cited by

1 paper in Pith

Equivariant Chern character operators and Okounkov's conjecture

Receipt and verification

First computed	2026-07-04T15:43:30.492296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f97783d1c966333d810d3036c3d6158de88f12f30c087f56a10b3b9bf945cd4

Aliases

arxiv: 0906.1825 · arxiv_version: 0906.1825v1 · doi: 10.48550/arxiv.0906.1825 · pith_short_12: F6LXQPI4SZRT · pith_short_16: F6LXQPI4SZRTHWAQ · pith_short_8: F6LXQPI4

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/F6LXQPI4SZRTHWAQ2MBWYPLBLD \
  | 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: 2f97783d1c966333d810d3036c3d6158de88f12f30c087f56a10b3b9bf945cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8b3c35c9f797db0d6530731d2cb0f5fdab4b33ad46c22fdaa166e7470bee60d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-09T21:39:26Z",
    "title_canon_sha256": "2d6b6c175e25c4ee835e1e1ed31dfa48827f6f271fa08309042513eec24b86e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1825",
    "kind": "arxiv",
    "version": 1
  }
}