Pith Number

pith:2JAYPBJ7

pith:2025:2JAYPBJ7VN344M5PM73CVTHKIF

not attested not anchored not stored refs pending

On the Local Langlands Functoriality Transfer From $\text{SO}(5)$ to $\text{GL}(4)$

David C. Luo

arxiv:2509.10880 v1 · 2025-09-13 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JAYPBJ7VN344M5PM73CVTHKIF}

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	2026-07-05T12:11:29.687550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d24187853fab77ce33af67f62accea41467efbd51a1e98c54269973960ecf9a8

Aliases

arxiv: 2509.10880 · arxiv_version: 2509.10880v1 · doi: 10.48550/arxiv.2509.10880 · pith_short_12: 2JAYPBJ7VN34 · pith_short_16: 2JAYPBJ7VN344M5P · pith_short_8: 2JAYPBJ7

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/2JAYPBJ7VN344M5PM73CVTHKIF \
  | 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: d24187853fab77ce33af67f62accea41467efbd51a1e98c54269973960ecf9a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b64a64056189db74c9e04723a4e9850b0b3f2f1d42044fe9c65dc4e17b89dd62",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-09-13T16:21:55Z",
    "title_canon_sha256": "931759528366f0df851a9218d5423f555fe6a6e916c15fc253452488440ba883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10880",
    "kind": "arxiv",
    "version": 1
  }
}