Pith Number

pith:PBJONNHC

pith:2011:PBJONNHCNHAO4D5OOVWU4C27TU

not attested not anchored not stored refs pending

Singular conformally invariant trilinear forms and covariant differential operators on the sphere

Jean-Louis Clerc

arxiv:1102.1861 v1 · 2011-02-09 · 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{PBJONNHCNHAO4D5OOVWU4C27TU}

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	2026-05-18T00:32:24.262085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7852e6b4e269c0ee0fae756d4e0b5f9d06ee126322237486c1f49ebe0af30e5e

Aliases

arxiv: 1102.1861 · arxiv_version: 1102.1861v1 · doi: 10.48550/arxiv.1102.1861 · pith_short_12: PBJONNHCNHAO · pith_short_16: PBJONNHCNHAO4D5O · pith_short_8: PBJONNHC

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/PBJONNHCNHAO4D5OOVWU4C27TU \
  | 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: 7852e6b4e269c0ee0fae756d4e0b5f9d06ee126322237486c1f49ebe0af30e5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77192d30b4154dba5709395d7cee828387ab353710fd542538604a64e89bd870",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-02-09T13:43:39Z",
    "title_canon_sha256": "8af6f7847e4d48d56fb20a2c14af579b83188edad522387cd9106df1a860de01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1861",
    "kind": "arxiv",
    "version": 1
  }
}