Pith Number

pith:E4LKFCZC

pith:2015:E4LKFCZC4G2OTKTMLOB6FYT6JU

not attested not anchored not stored refs pending

Isoperimetric inequality for the third eigenvalue of the Laplace-Beltrami operator on $\mathbb S^2$

Nikolai Nadirashvili, Yannick Sire

arxiv:1506.07017 v5 · 2015-06-23 · 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{E4LKFCZC4G2OTKTMLOB6FYT6JU}

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	2026-05-18T01:08:29.082923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2716a28b22e1b4e9aa6c5b83e2e27e4d1a33e137a2e9074ec9e4a0b18f4f02ee

Aliases

arxiv: 1506.07017 · arxiv_version: 1506.07017v5 · doi: 10.48550/arxiv.1506.07017 · pith_short_12: E4LKFCZC4G2O · pith_short_16: E4LKFCZC4G2OTKTM · pith_short_8: E4LKFCZC

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/E4LKFCZC4G2OTKTMLOB6FYT6JU \
  | 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: 2716a28b22e1b4e9aa6c5b83e2e27e4d1a33e137a2e9074ec9e4a0b18f4f02ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e029b2a8bb076cf2f212e4ea3768030551d62312eedeb0b13b0166788ad2e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-23T14:11:13Z",
    "title_canon_sha256": "3a1666274f2a3c0d79b587fc10ed89483e75158fef4c20b1daab0a7fa46e1bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07017",
    "kind": "arxiv",
    "version": 5
  }
}