Pith Number

pith:O7XXFUVO

pith:2010:O7XXFUVOCJAQUAVV4QXVTQWTTU

not attested not anchored not stored refs pending

Sharp Garding inequality on compact Lie groups

Michael Ruzhansky, Ville Turunen

arxiv:1007.0588 v2 · 2010-07-04 · math.FA · math.AP · 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{O7XXFUVOCJAQUAVV4QXVTQWTTU}

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	2026-05-18T02:30:32.948054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77ef72d2ae12410a02b5e42f59c2d39d0509a3161c95c0fe81968f2eb2c5a762

Aliases

arxiv: 1007.0588 · arxiv_version: 1007.0588v2 · doi: 10.48550/arxiv.1007.0588 · pith_short_12: O7XXFUVOCJAQ · pith_short_16: O7XXFUVOCJAQUAVV · pith_short_8: O7XXFUVO

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/O7XXFUVOCJAQUAVV4QXVTQWTTU \
  | 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: 77ef72d2ae12410a02b5e42f59c2d39d0509a3161c95c0fe81968f2eb2c5a762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528473663ab1f9b314c4140395f944e8dad7c8d7792dfb65ef7c56a73a8f6e27",
    "cross_cats_sorted": [
      "math.AP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-04T21:31:45Z",
    "title_canon_sha256": "6e83c25ae0038b922c76a5ef4b974c77dd8d5d9b8852d36adef2b73c055134f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0588",
    "kind": "arxiv",
    "version": 2
  }
}