Pith Number

pith:SMQ4QJXE

pith:2013:SMQ4QJXEVPB2GKZOY75JTGAHAG

not attested not anchored not stored refs pending

Remarks on the Fundamental Lemma for stable twisted Endoscopy of Classical Groups

Joachim Ballmann, Rainer Weissauer, Uwe Weselmann

arxiv:1302.0034 v1 · 2013-01-31 · 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{SMQ4QJXEVPB2GKZOY75JTGAHAG}

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	2026-05-18T03:34:47.687103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9321c826e4abc3a32b2ec7fa999807019db8fcc8ffe9934e199d9f6ffce6c55b

Aliases

arxiv: 1302.0034 · arxiv_version: 1302.0034v1 · doi: 10.48550/arxiv.1302.0034 · pith_short_12: SMQ4QJXEVPB2 · pith_short_16: SMQ4QJXEVPB2GKZO · pith_short_8: SMQ4QJXE

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/SMQ4QJXEVPB2GKZOY75JTGAHAG \
  | 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: 9321c826e4abc3a32b2ec7fa999807019db8fcc8ffe9934e199d9f6ffce6c55b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caffef617887ded34dd2903f7266895f32188d68127f2d75a23bbb864ee7d503",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-31T23:03:57Z",
    "title_canon_sha256": "a99b62b1a15b8a5877184e3120abb595e03129f43a2becbf3e02ca7f57b26ad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0034",
    "kind": "arxiv",
    "version": 1
  }
}