Pith Number

pith:ZUMP34OY

pith:2014:ZUMP34OYKY2WUORJZZG46OG5VB

not attested not anchored not stored refs pending

Pizzetti formulae for Stiefel manifolds and applications

Kevin Coulembier, Mario Kieburg

arxiv:1409.8207 v1 · 2014-09-29 · math-ph · math.MP · 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{ZUMP34OYKY2WUORJZZG46OG5VB}

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	2026-05-18T01:33:24.369411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd18fdf1d856356a3a29ce4dcf38dda87513f4b2f5be945f8efec5288668c71a

Aliases

arxiv: 1409.8207 · arxiv_version: 1409.8207v1 · doi: 10.48550/arxiv.1409.8207 · pith_short_12: ZUMP34OYKY2W · pith_short_16: ZUMP34OYKY2WUORJ · pith_short_8: ZUMP34OY

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/ZUMP34OYKY2WUORJZZG46OG5VB \
  | 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: cd18fdf1d856356a3a29ce4dcf38dda87513f4b2f5be945f8efec5288668c71a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d518058d28e0274a2e495e765a93fc7af3f75b85f7ae21a404631a506e58c01f",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-09-29T17:53:29Z",
    "title_canon_sha256": "337a1aaccd565d742ab67ef2f7763dc6cb2df54042105a4091528a9a7bba6a25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8207",
    "kind": "arxiv",
    "version": 1
  }
}