Pith Number

pith:QBQKSWYT

pith:2010:QBQKSWYTITEXPPM6FVSLVJOABU

not attested not anchored not stored refs pending

Emerton's Jacquet functors for non-Borel parabolic subgroups

David Loeffler, Richard Hill

arxiv:1005.4437 v1 · 2010-05-24 · math.NT · 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{QBQKSWYTITEXPPM6FVSLVJOABU}

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	2026-05-18T04:14:38.215802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8060a95b1344c977bd9e2d64baa5c00d3254cd983a0e60a05f94e7cb22118acd

Aliases

arxiv: 1005.4437 · arxiv_version: 1005.4437v1 · doi: 10.48550/arxiv.1005.4437 · pith_short_12: QBQKSWYTITEX · pith_short_16: QBQKSWYTITEXPPM6 · pith_short_8: QBQKSWYT

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/QBQKSWYTITEXPPM6FVSLVJOABU \
  | 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: 8060a95b1344c977bd9e2d64baa5c00d3254cd983a0e60a05f94e7cb22118acd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc0099de596fa3872f1d6421b1415abc5b37915f04ec9ae850ac12a13e9b1383",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-24T21:27:44Z",
    "title_canon_sha256": "b95cbe351efe89f7788746b0f1d7727b9cabde4dde6750992e26df01117e8cab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4437",
    "kind": "arxiv",
    "version": 1
  }
}