Pith Number

pith:HSJGNWS3

pith:2010:HSJGNWS3EK7GIP5BBIFUAMXQL6

not attested not anchored not stored refs pending

The Jordan-H\"older series of the locally analytic Steinberg representation

Benjamin Schraen, Sascha Orlik

arxiv:1008.4910 v2 · 2010-08-29 · math.RT · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSJGNWS3EK7GIP5BBIFUAMXQL6}

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	2026-05-18T02:53:15.954915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c9266da5b22be643fa10a0b4032f05fa798132b96de3a1c4df560ac30eb60d6

Aliases

arxiv: 1008.4910 · arxiv_version: 1008.4910v2 · doi: 10.48550/arxiv.1008.4910 · pith_short_12: HSJGNWS3EK7G · pith_short_16: HSJGNWS3EK7GIP5B · pith_short_8: HSJGNWS3

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/HSJGNWS3EK7GIP5BBIFUAMXQL6 \
  | 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: 3c9266da5b22be643fa10a0b4032f05fa798132b96de3a1c4df560ac30eb60d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7065b5d6fd76883cceceb68257a5543fad906db1bbcb49fc55ef9fc09523b31",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-08-29T09:19:42Z",
    "title_canon_sha256": "360bbd22a03de045a1cf0ea0c8afcbdb8219b6593706db3c03fbba0dcb6e5028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4910",
    "kind": "arxiv",
    "version": 2
  }
}