Pith Number

pith:VECODC6Q

pith:2010:VECODC6QWU7DLJEPTG5CZMWEL5

not attested not anchored not stored refs pending

Pursuing the double affine Grassmannian III: Convolution with affine Zastava

Alexander Braverman, Michael Finkelberg

arxiv:1010.3499 v2 · 2010-10-18 · 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{VECODC6QWU7DLJEPTG5CZMWEL5}

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	2026-05-18T03:42:21.656210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a904e18bd0b53e35a48f99ba2cb2c45f7c57dbc13d708ab78635a6b1007d38e8

Aliases

arxiv: 1010.3499 · arxiv_version: 1010.3499v2 · doi: 10.48550/arxiv.1010.3499 · pith_short_12: VECODC6QWU7D · pith_short_16: VECODC6QWU7DLJEP · pith_short_8: VECODC6Q

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/VECODC6QWU7DLJEPTG5CZMWEL5 \
  | 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: a904e18bd0b53e35a48f99ba2cb2c45f7c57dbc13d708ab78635a6b1007d38e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999553edf638fd5392ad43b5bff69c7281e8f8b0068df88d61969583cf123fd1",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-18T06:56:26Z",
    "title_canon_sha256": "2cb615cc70ce8133ce47f445c3fb74b9f19b90b8eaa1e6fc429000a9cb358c97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3499",
    "kind": "arxiv",
    "version": 2
  }
}