Pith Number

pith:K4O4XDHM

pith:2007:K4O4XDHMHSSPQBUV4UP4D5YLSG

not attested not anchored not stored refs pending

Perverse coherent sheaves and the geometry of special pieces in the unipotent variety

Daniel S. Sage, Pramod N. Achar

arxiv:0707.0088 v3 · 2007-07-01 · 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{K4O4XDHMHSSPQBUV4UP4D5YLSG}

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	2026-05-18T00:53:41.105882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571dcb8cec3ca4f80695e51fc1f70b919c437265f8e9d1f6777c5445eec67228

Aliases

arxiv: 0707.0088 · arxiv_version: 0707.0088v3 · doi: 10.48550/arxiv.0707.0088 · pith_short_12: K4O4XDHMHSSP · pith_short_16: K4O4XDHMHSSPQBUV · pith_short_8: K4O4XDHM

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/K4O4XDHMHSSPQBUV4UP4D5YLSG \
  | 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: 571dcb8cec3ca4f80695e51fc1f70b919c437265f8e9d1f6777c5445eec67228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4a47959abead97b5bb4cb649ba5434a196ed3f26bb65cc9eae0ad4fbd522811",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2007-07-01T03:11:26Z",
    "title_canon_sha256": "3103ce71c60330bce823662655e2fe583e725239670f2d421967b1cda6b30c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0088",
    "kind": "arxiv",
    "version": 3
  }
}