Pith Number

pith:QBO456XW

pith:2016:QBO456XWRMP3ZFMSD73GBTZPF2

not attested not anchored not stored refs pending

On the number of Courant-sharp Dirichlet eigenvalues

Katie Gittins, Michiel van den Berg

arxiv:1602.08376 v3 · 2016-02-26 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBO456XWRMP3ZFMSD73GBTZPF2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:47:38.284588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

805dcefaf68b1fbc95921ff660cf2f2eb2f123dea4140d6a1b49b638b194c8f7

Aliases

arxiv: 1602.08376 · arxiv_version: 1602.08376v3 · doi: 10.48550/arxiv.1602.08376 · pith_short_12: QBO456XWRMP3 · pith_short_16: QBO456XWRMP3ZFMS · pith_short_8: QBO456XW

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/QBO456XWRMP3ZFMSD73GBTZPF2 \
  | 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: 805dcefaf68b1fbc95921ff660cf2f2eb2f123dea4140d6a1b49b638b194c8f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a56d442f14c7275d1c70a24a91b2641e04bad14b2a4fcf8662fa0aa0c11c037f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-02-26T15:58:58Z",
    "title_canon_sha256": "4c93554c41f152e3cd31429c30b3687260347683286c1a3046c5795c2fd45805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08376",
    "kind": "arxiv",
    "version": 3
  }
}