Pith Number

pith:QOJN4NNF

pith:2016:QOJN4NNFCKWDNZRL2LXWS6VJUJ

not attested not anchored not stored refs pending

Minimising Dirichlet eigenvalues on cuboids of unit measure

Katie Gittins, Michiel van den Berg

arxiv:1607.02087 v1 · 2016-07-07 · 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{QOJN4NNFCKWDNZRL2LXWS6VJUJ}

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	2026-05-18T00:48:17.502882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8392de35a512ac36e62bd2ef697aa9a2490df6e92b76d3be076c372f3fdae769

Aliases

arxiv: 1607.02087 · arxiv_version: 1607.02087v1 · doi: 10.48550/arxiv.1607.02087 · pith_short_12: QOJN4NNFCKWD · pith_short_16: QOJN4NNFCKWDNZRL · pith_short_8: QOJN4NNF

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/QOJN4NNFCKWDNZRL2LXWS6VJUJ \
  | 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: 8392de35a512ac36e62bd2ef697aa9a2490df6e92b76d3be076c372f3fdae769

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac770ce653198ed73d26e55273a92d743511f3f7c35192af13a35904fb94a89c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-07-07T17:20:41Z",
    "title_canon_sha256": "9989a8711bd223d587f433d183bacbb92192a16735c95f943bdf8a92996fc9f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02087",
    "kind": "arxiv",
    "version": 1
  }
}