Pith Number

pith:YNQM4VN7

pith:2012:YNQM4VN7UXZUZZNJOJASHHSFMJ

not attested not anchored not stored refs pending

Self-dual representations with vectors fixed under an Iwahori subgroup

Kumar Balasubramanian

arxiv:1209.2798 v2 · 2012-09-13 · 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{YNQM4VN7UXZUZZNJOJASHHSFMJ}

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	2026-05-18T03:44:59.860460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c360ce55bfa5f34ce5a97241239e45624ba83c88ddb56356e55ce919f0837d77

Aliases

arxiv: 1209.2798 · arxiv_version: 1209.2798v2 · doi: 10.48550/arxiv.1209.2798 · pith_short_12: YNQM4VN7UXZU · pith_short_16: YNQM4VN7UXZUZZNJ · pith_short_8: YNQM4VN7

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/YNQM4VN7UXZUZZNJOJASHHSFMJ \
  | 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: c360ce55bfa5f34ce5a97241239e45624ba83c88ddb56356e55ce919f0837d77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e36f3fc05fa6737bf761547c790d076058af0842dc297634762ff493ed288499",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-13T07:28:54Z",
    "title_canon_sha256": "8bb5b0cd0d4dbe8ab6709d33f1b0580709a3246c65835a88e0edea0c4e36efac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2798",
    "kind": "arxiv",
    "version": 2
  }
}