Pith Number

pith:ZL2HO744

pith:2019:ZL2HO744MWBOX2P3AX5YADCGV2

not attested not anchored not stored refs pending

Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results

Bruno Colbois, Luigi Provenzano

arxiv:1907.02252 v1 · 2019-07-04 · 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{ZL2HO744MWBOX2P3AX5YADCGV2}

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	2026-05-17T23:41:29.221345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf4777f9c6582ebe9fb05fb800c46aeb3369a6366d7c7180b2ade206236c794

Aliases

arxiv: 1907.02252 · arxiv_version: 1907.02252v1 · doi: 10.48550/arxiv.1907.02252 · pith_short_12: ZL2HO744MWBO · pith_short_16: ZL2HO744MWBOX2P3 · pith_short_8: ZL2HO744

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/ZL2HO744MWBOX2P3AX5YADCGV2 \
  | 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: caf4777f9c6582ebe9fb05fb800c46aeb3369a6366d7c7180b2ade206236c794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f155f9ff6a5ed6f8139fee098299ae3cb4bb0da4cb414ac6c937a0598fb44e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-07-04T07:10:14Z",
    "title_canon_sha256": "acf3af9bc65ab714807fba3b61309a3b9e519dbf18f23a7e2850f9f640ecf0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02252",
    "kind": "arxiv",
    "version": 1
  }
}