Pith Number

pith:S6Y2HLUS

pith:2011:S6Y2HLUSIG2L6CXEBYQG5OSYF5

not attested not anchored not stored refs pending

Resolutions of the Steinberg module for GL(n)

Avner Ash, Mark McConnell, Paul E. Gunnells

arxiv:1106.5034 v1 · 2011-06-24 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6Y2HLUSIG2L6CXEBYQG5OSYF5}

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	2026-05-18T04:19:22.572386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97b1a3ae9241b4bf0ae40e206eba582f796e1c7deccda2a8ba53857d4b8b6930

Aliases

arxiv: 1106.5034 · arxiv_version: 1106.5034v1 · doi: 10.48550/arxiv.1106.5034 · pith_short_12: S6Y2HLUSIG2L · pith_short_16: S6Y2HLUSIG2L6CXE · pith_short_8: S6Y2HLUS

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/S6Y2HLUSIG2L6CXEBYQG5OSYF5 \
  | 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: 97b1a3ae9241b4bf0ae40e206eba582f796e1c7deccda2a8ba53857d4b8b6930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70398b83f92141368987076be60b5079822db5480aa42711f9c060aaf74052ef",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-24T18:47:33Z",
    "title_canon_sha256": "076935e6cb20c553308bb4685240ad64c94a170596db8b691666c4db06a635f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5034",
    "kind": "arxiv",
    "version": 1
  }
}