Pith Number

pith:WSA5TOPO

pith:2012:WSA5TOPOQJLQ6DCDJVJMQWCIQE

not attested not anchored not stored refs pending

Spectrum of hypersurfaces with small extrinsic radius or large $\lambda_1$ in euclidean spaces

Erwann Aubry (JAD), Jean-Francois Grosjean (IECN)

arxiv:1210.5690 v1 · 2012-10-21 · 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{WSA5TOPOQJLQ6DCDJVJMQWCIQE}

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	2026-05-18T03:42:43.306795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b481d9b9ee82570f0c434d52c85848810ebff89d6635c8916a42475749723c68

Aliases

arxiv: 1210.5690 · arxiv_version: 1210.5690v1 · doi: 10.48550/arxiv.1210.5690 · pith_short_12: WSA5TOPOQJLQ · pith_short_16: WSA5TOPOQJLQ6DCD · pith_short_8: WSA5TOPO

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/WSA5TOPOQJLQ6DCDJVJMQWCIQE \
  | 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: b481d9b9ee82570f0c434d52c85848810ebff89d6635c8916a42475749723c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f91dbbfd34df8dfb6b8b7933a7559fa57985b934784e9a70ec7be481c918b2a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-21T06:17:41Z",
    "title_canon_sha256": "c40331af2b567cffea500f31103989794e628bb07d5ad0eaf0f075531d45f2cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5690",
    "kind": "arxiv",
    "version": 1
  }
}