Pith Number

pith:JWK3N52J

pith:2016:JWK3N52J2AVIX2FNUKGLKU4T3R

not attested not anchored not stored refs pending

The First Eigenvalue for the Bi-Beltrami-Laplacian on Minimal Isoparametric Hypersurfaces of $\mathbb{S}^{n+1}(1)$

Lingzhong Zeng

arxiv:1612.01255 v1 · 2016-12-05 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWK3N52J2AVIX2FNUKGLKU4T3R}

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	2026-05-18T00:55:53.038088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d95b6f749d02a8be8ada28cb55393dc6e7d259cabb50db6f2f2932aa616febd

Aliases

arxiv: 1612.01255 · arxiv_version: 1612.01255v1 · doi: 10.48550/arxiv.1612.01255 · pith_short_12: JWK3N52J2AVI · pith_short_16: JWK3N52J2AVIX2FN · pith_short_8: JWK3N52J

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/JWK3N52J2AVIX2FNUKGLKU4T3R \
  | 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: 4d95b6f749d02a8be8ada28cb55393dc6e7d259cabb50db6f2f2932aa616febd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efbdc5038292038e29b628c0c5d08a2e7d7e7108b96f113794772fb34341e6ee",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-05T06:06:08Z",
    "title_canon_sha256": "8d5cca86855bfb870af0f4780a4fb149462dcbe36f4059de88dba3e7890ca32d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01255",
    "kind": "arxiv",
    "version": 1
  }
}