Pith Number

pith:L6KKDRBD

pith:2018:L6KKDRBD3R3H45CF5F2DEGEPCM

not attested not anchored not stored refs pending

Branching laws for the Steinberg representation: the rank 1 case

Paul Broussous

arxiv:1810.06910 v1 · 2018-10-16 · 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{L6KKDRBD3R3H45CF5F2DEGEPCM}

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	2026-05-18T00:03:11.123719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f94a1c423dc767e7445e97432188f130c252abf2778fb5d5c387fa3821147c0

Aliases

arxiv: 1810.06910 · arxiv_version: 1810.06910v1 · doi: 10.48550/arxiv.1810.06910 · pith_short_12: L6KKDRBD3R3H · pith_short_16: L6KKDRBD3R3H45CF · pith_short_8: L6KKDRBD

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/L6KKDRBD3R3H45CF5F2DEGEPCM \
  | 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: 5f94a1c423dc767e7445e97432188f130c252abf2778fb5d5c387fa3821147c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b14b7cf9f26947089f2f54eda252931357b02ebf1bdbcf42e438690c9a5ffa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-10-16T10:07:03Z",
    "title_canon_sha256": "177c549a30f20bb1bac844fb0c5316f8674111f8ee4670217304a4a7ef2359c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06910",
    "kind": "arxiv",
    "version": 1
  }
}