Pith Number

pith:G3DGPACE

pith:2012:G3DGPACEMH2OJIWJVJGO2O2CAD

not attested not anchored not stored refs pending

A Lie-algebraic approach to the local index theorem on compact homogeneous spaces

Seunghun Hong

arxiv:1210.5855 v4 · 2012-10-22 · math.FA · math.DG · 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{G3DGPACEMH2OJIWJVJGO2O2CAD}

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	2026-05-18T01:17:26.295570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36c667804461f4e4a2c9aa4ced3b4200f4b672410836ad006d243c44f64217b1

Aliases

arxiv: 1210.5855 · arxiv_version: 1210.5855v4 · doi: 10.48550/arxiv.1210.5855 · pith_short_12: G3DGPACEMH2O · pith_short_16: G3DGPACEMH2OJIWJ · pith_short_8: G3DGPACE

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/G3DGPACEMH2OJIWJVJGO2O2CAD \
  | 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: 36c667804461f4e4a2c9aa4ced3b4200f4b672410836ad006d243c44f64217b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47a7360171d4be72ce13c1859f11fd086b1dca1eb11c02adcf39a98676227a98",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-22T10:03:22Z",
    "title_canon_sha256": "8ac003c79cc088090ee55f6e0499b3fc83d670024cb62fa7ff79e59ff21b6b3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5855",
    "kind": "arxiv",
    "version": 4
  }
}