Pith Number

pith:XGNROLNB

pith:2025:XGNROLNBRLWLITPILCZHMIKPAZ

not attested not anchored not stored refs pending

Branching rules for irreducible depth-zero supercuspidal representations of $\mathrm{SL}(2,F)$, when $F$ has residual characteristic $2$

Monica Nevins, Zander Karaganis

arxiv:2509.01843 v1 · 2025-09-01 · 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{XGNROLNBRLWLITPILCZHMIKPAZ}

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	2026-07-05T12:03:09.826908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b99b172da18aecb44de858b276214f06791fdc59e774215da02b57015ad09401

Aliases

arxiv: 2509.01843 · arxiv_version: 2509.01843v1 · doi: 10.48550/arxiv.2509.01843 · pith_short_12: XGNROLNBRLWL · pith_short_16: XGNROLNBRLWLITPI · pith_short_8: XGNROLNB

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/XGNROLNBRLWLITPILCZHMIKPAZ \
  | 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: b99b172da18aecb44de858b276214f06791fdc59e774215da02b57015ad09401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af3c56e8ee3881e152b493dfee6f8e69faed61a2c5fb9a986d63e514dca65bc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-09-01T23:53:24Z",
    "title_canon_sha256": "1daf0927fcbd83053f9fd468e5a2450c42d912691d31ccb1f5c7a01bffa41c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01843",
    "kind": "arxiv",
    "version": 1
  }
}