Pith Number

pith:O4X2VRZH

pith:2014:O4X2VRZHE732GRFUSU77TSZ7LZ

not attested not anchored not stored refs pending

Borel-Weil-Bott Theorem via Equivariant McKean-Singer Formula

Seunghun Hong

arxiv:1412.3879 v1 · 2014-12-12 · 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{O4X2VRZHE732GRFUSU77TSZ7LZ}

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	2026-05-18T02:31:29.425553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772faac72727f7a344b4953ff9cb3f5e6f976ae9b2a8fa0f193267db119f477b

Aliases

arxiv: 1412.3879 · arxiv_version: 1412.3879v1 · doi: 10.48550/arxiv.1412.3879 · pith_short_12: O4X2VRZHE732 · pith_short_16: O4X2VRZHE732GRFU · pith_short_8: O4X2VRZH

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/O4X2VRZHE732GRFUSU77TSZ7LZ \
  | 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: 772faac72727f7a344b4953ff9cb3f5e6f976ae9b2a8fa0f193267db119f477b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22cc0fbfa44740f6d6e5b0aa4ce54b50f844949c93dbd863b136a8bb552b0cd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-12-12T03:43:38Z",
    "title_canon_sha256": "a37a06919a9c9b147da4f5e25c76a01762bbedea61ce9a18ddb02effb7a78817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3879",
    "kind": "arxiv",
    "version": 1
  }
}