Pith Number

pith:QSD77JNI

pith:2025:QSD77JNIJEGNLJRREBGUZITGMH

not attested not anchored not stored refs pending

Endoscopy for representations of disconnected reductive groups over finite fields

Maarten Solleveld

arxiv:2507.16304 v1 · 2025-07-22 · 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{QSD77JNIJEGNLJRREBGUZITGMH}

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.

Cited by

1 paper in Pith

Finite Langlands correspondence

Receipt and verification

First computed	2026-07-05T11:41:07.336872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8487ffa5a8490cd5a631204d4ca26661ff81eaadb2080716cb896416d657e1d8

Aliases

arxiv: 2507.16304 · arxiv_version: 2507.16304v1 · doi: 10.48550/arxiv.2507.16304 · pith_short_12: QSD77JNIJEGN · pith_short_16: QSD77JNIJEGNLJRR · pith_short_8: QSD77JNI

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/QSD77JNIJEGNLJRREBGUZITGMH \
  | 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: 8487ffa5a8490cd5a631204d4ca26661ff81eaadb2080716cb896416d657e1d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6f27be61b2781401c385cf71c3a9bb270a91ce10526965e36363d0e86a84c0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-22T07:42:11Z",
    "title_canon_sha256": "811b6f27a1a9b9c72eeb22d34e732785a810b51aa22af71b07087809f987c05d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16304",
    "kind": "arxiv",
    "version": 1
  }
}