Pith Number

pith:RJUJJNZA

pith:2011:RJUJJNZAA2XG66VW3YKMLYRE5Y

not attested not anchored not stored refs pending

Bifurcating extremal domains for the first eigenvalue of the Laplacian

Felix Schlenk, Pieralberto Sicbaldi

arxiv:1101.3988 v1 · 2011-01-20 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJUJJNZAA2XG66VW3YKMLYRE5Y}

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	2026-05-18T04:31:20.698256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a6894b72006ae6f7ab6de14c5e224ee2743271781468a66096fec8f19423419

Aliases

arxiv: 1101.3988 · arxiv_version: 1101.3988v1 · doi: 10.48550/arxiv.1101.3988 · pith_short_12: RJUJJNZAA2XG · pith_short_16: RJUJJNZAA2XG66VW · pith_short_8: RJUJJNZA

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/RJUJJNZAA2XG66VW3YKMLYRE5Y \
  | 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: 8a6894b72006ae6f7ab6de14c5e224ee2743271781468a66096fec8f19423419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e3bc0da6e94a098551dbca5fad5ff19e975c825bf8545354ef57460d95a1ad1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-20T18:31:50Z",
    "title_canon_sha256": "d3ac9f9d2425a29f5256a4dd3d2fac939f58f34c2cbd31805e16feb78836c719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3988",
    "kind": "arxiv",
    "version": 1
  }
}