Pith Number

pith:CFJJWJWN

pith:2010:CFJJWJWNNTS5SKBLVULXYKXEUF

not attested not anchored not stored refs pending

Dynamical Weyl groups and equivariant cohomology of transversal slices in affine Grassmannians

Alexander Braverman, Michael Finkelberg

arxiv:1010.2135 v2 · 2010-10-11 · math.RT · 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{CFJJWJWNNTS5SKBLVULXYKXEUF}

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	2026-05-18T04:07:52.706894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11529b26cd6ce5d9282bad177c2ae4a14ca5a67146526cb02b5809b3c33d0e6b

Aliases

arxiv: 1010.2135 · arxiv_version: 1010.2135v2 · doi: 10.48550/arxiv.1010.2135 · pith_short_12: CFJJWJWNNTS5 · pith_short_16: CFJJWJWNNTS5SKBL · pith_short_8: CFJJWJWN

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/CFJJWJWNNTS5SKBLVULXYKXEUF \
  | 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: 11529b26cd6ce5d9282bad177c2ae4a14ca5a67146526cb02b5809b3c33d0e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84d101083ed0a5d9ec851c6518cecdf749276da9c246811176e828d5865a6706",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-10-11T15:26:41Z",
    "title_canon_sha256": "c8c0d1de5bf6c919e1465639425ac05044196e6d03fb44a48e8331f26c233f92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2135",
    "kind": "arxiv",
    "version": 2
  }
}