Pith Number

pith:O5JYUBUA

pith:2025:O5JYUBUAPADTI7VQOFSVJZWFZU

not attested not anchored not stored refs pending

On homomorphisms from finite subgroups of $SU(2)$ to Langlands dual pairs of groups

Yuji Tachikawa, Yuki Kojima

arxiv:2505.01253 v1 · 2025-05-02 · math.RT · hep-th · 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{O5JYUBUAPADTI7VQOFSVJZWFZU}

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.

Cited by

1 paper in Pith

Cohomology of symmetric stacks

Receipt and verification

First computed	2026-07-05T10:57:48.237630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77538a06807807347eb0716554e6c5cd1fd2876e09762d528645ca7f1fc1b63a

Aliases

arxiv: 2505.01253 · arxiv_version: 2505.01253v1 · doi: 10.48550/arxiv.2505.01253 · pith_short_12: O5JYUBUAPADT · pith_short_16: O5JYUBUAPADTI7VQ · pith_short_8: O5JYUBUA

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/O5JYUBUAPADTI7VQOFSVJZWFZU \
  | 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: 77538a06807807347eb0716554e6c5cd1fd2876e09762d528645ca7f1fc1b63a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3afa23e13d577931fb34f7f1b21a81b40c8d1d0bd56f1ac6dc3c06c0b5027a1",
    "cross_cats_sorted": [
      "hep-th",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-05-02T13:20:11Z",
    "title_canon_sha256": "91fafe3ddb5e18b852383eb5b08f372a1a491b9f79a66fea849652c8bb99cb86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01253",
    "kind": "arxiv",
    "version": 1
  }
}