Pith Number

pith:CJ7HDGWJ

pith:2016:CJ7HDGWJYH5OXU5OWNYDRNHGJR

not attested not anchored not stored refs pending

The first positive eigenvalue of the sub-laplacian on cr spheres

Ahmad El Soufi (LMPT), Amine Aribi (LMPT)

arxiv:1604.06453 v1 · 2016-04-21 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJ7HDGWJYH5OXU5OWNYDRNHGJR}

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	2026-05-18T01:16:28.989129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

127e719ac9c1faebd3aeb37038b4e64c5c759a4aabc795c5ea2f07b5871058a8

Aliases

arxiv: 1604.06453 · arxiv_version: 1604.06453v1 · doi: 10.48550/arxiv.1604.06453 · pith_short_12: CJ7HDGWJYH5O · pith_short_16: CJ7HDGWJYH5OXU5O · pith_short_8: CJ7HDGWJ

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/CJ7HDGWJYH5OXU5OWNYDRNHGJR \
  | 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: 127e719ac9c1faebd3aeb37038b4e64c5c759a4aabc795c5ea2f07b5871058a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "436022910197eff743a1c33440b18668d94b311798a1b6426c63e2fd1903c545",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-21T14:51:15Z",
    "title_canon_sha256": "49742a450691012f0751699d146737209b381080c588cdb8e0a0f1d45da6a045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06453",
    "kind": "arxiv",
    "version": 1
  }
}