Pith Number

pith:BXC2ZAFL

pith:2006:BXC2ZAFLL7WOPYYXWWAD3ZG6Y6

not attested not anchored not stored refs pending

A motivated introduction to character sheaves and the orbit method for unipotent groups in positive characteristic

Mitya Boyarchenko, Vladimir Drinfeld

arxiv:math/0609769 v2 · 2006-09-27 · 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{BXC2ZAFLL7WOPYYXWWAD3ZG6Y6}

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	2026-05-18T04:34:54.520765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dc5ac80ab5fece7e317b5803de4dec7a58d73b9f3ef185afe7706e3df6286a8

Aliases

arxiv: math/0609769 · arxiv_version: math/0609769v2 · doi: 10.48550/arxiv.math/0609769 · pith_short_12: BXC2ZAFLL7WO · pith_short_16: BXC2ZAFLL7WOPYYX · pith_short_8: BXC2ZAFL

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/BXC2ZAFLL7WOPYYXWWAD3ZG6Y6 \
  | 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: 0dc5ac80ab5fece7e317b5803de4dec7a58d73b9f3ef185afe7706e3df6286a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54bcde2792ee06e3ca908c98c21f7089cb124c90744b739c7b8ca1aaa5e64a5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2006-09-27T19:34:37Z",
    "title_canon_sha256": "8646686d0fac87ebf4e2c046f7bba3116b94a20799bbba870481a3d8cd4c68a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609769",
    "kind": "arxiv",
    "version": 2
  }
}