Pith Number

pith:2KMVN4VY

pith:2025:2KMVN4VYPTHPSSHC5UM73QLUST

not attested not anchored not stored refs pending

The Atiyah-Schmid formula for reductive groups

Jun Yang

arxiv:2503.13929 v2 · 2025-03-18 · math.RT · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KMVN4VYPTHPSSHC5UM73QLUST}

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	2026-07-05T10:47:01.431893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d29956f2b87ccef948e2ed19fdc17494f56e59110d03663ae2c3f92344598ed1

Aliases

arxiv: 2503.13929 · arxiv_version: 2503.13929v2 · doi: 10.48550/arxiv.2503.13929 · pith_short_12: 2KMVN4VYPTHP · pith_short_16: 2KMVN4VYPTHPSSHC · pith_short_8: 2KMVN4VY

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/2KMVN4VYPTHPSSHC5UM73QLUST \
  | 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: d29956f2b87ccef948e2ed19fdc17494f56e59110d03663ae2c3f92344598ed1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d1d72c16e1781cc2c03ac20c60391d7d5457f47339c53e95993a4c9ed619191",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-03-18T05:50:56Z",
    "title_canon_sha256": "defa390536f57ce1196cf0ea88295675923d1a474e6ed8b5b5b28a62e02976af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.13929",
    "kind": "arxiv",
    "version": 2
  }
}