Pith Number

pith:GBS5NUKK

pith:2026:GBS5NUKK2LMB5L6O6Z3RYX7U4R

not attested not anchored not stored refs pending

Pleijel's theorem for a class of degenerate elliptic operators

Bernard Helffer, Rupert L. Frank

arxiv:2606.04951 v1 · 2026-06-03 · math.AP · 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{GBS5NUKK2LMB5L6O6Z3RYX7U4R}

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	2026-06-04T01:09:57.656558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3065d6d14ad2d81eafcef6771c5ff4e44457f43b87215c8691d0ad30657fadec

Aliases

arxiv: 2606.04951 · arxiv_version: 2606.04951v1 · doi: 10.48550/arxiv.2606.04951 · pith_short_12: GBS5NUKK2LMB · pith_short_16: GBS5NUKK2LMB5L6O · pith_short_8: GBS5NUKK

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/GBS5NUKK2LMB5L6O6Z3RYX7U4R \
  | 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: 3065d6d14ad2d81eafcef6771c5ff4e44457f43b87215c8691d0ad30657fadec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ef0edc9cd319273df442157f2cb21621453ad43cdb073c75857a622c8a5f971",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-03T14:39:25Z",
    "title_canon_sha256": "607f2a6ef8298fc212da3db8a96ec285375b286b99be46a4894d39e7449ea1dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04951",
    "kind": "arxiv",
    "version": 1
  }
}