Pith Number

pith:QCGIBKZ4

pith:2009:QCGIBKZ4ZWDWOD3PHGOIL6Z7MC

not attested not anchored not stored refs pending

Unitary equivalences for reductive p-adic groups

Dan Barbasch, Dan Ciubotaru

arxiv:0909.5241 v3 · 2009-09-28 · 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{QCGIBKZ4ZWDWOD3PHGOIL6Z7MC}

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	2026-05-18T04:24:45.393020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

808c80ab3ccd87670f6f399c85fb3f60bdbc5a225e5f6514f9e1d8e9627ae0bb

Aliases

arxiv: 0909.5241 · arxiv_version: 0909.5241v3 · doi: 10.48550/arxiv.0909.5241 · pith_short_12: QCGIBKZ4ZWDW · pith_short_16: QCGIBKZ4ZWDWOD3P · pith_short_8: QCGIBKZ4

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/QCGIBKZ4ZWDWOD3PHGOIL6Z7MC \
  | 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: 808c80ab3ccd87670f6f399c85fb3f60bdbc5a225e5f6514f9e1d8e9627ae0bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad17960c3379c0bc2d9d2fbc1942d2dd94061017a4c3cb81f88f80350cc5f556",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-09-28T23:59:50Z",
    "title_canon_sha256": "4d87dccaa2097ebc5fc25cfb51f3d13a14aa788819517f8292612f9c778b1270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5241",
    "kind": "arxiv",
    "version": 3
  }
}