Pith Number

pith:L5TCHBCJ

pith:2017:L5TCHBCJNXVZQH2OUG7BUGEWTN

not attested not anchored not stored refs pending

Metrics on a closed surface of genus two which maximize the first eigenvalue of the Laplacian

Shin Nayatani, Toshihiro Shoda

arxiv:1704.06384 v4 · 2017-04-21 · math.DG · 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{L5TCHBCJNXVZQH2OUG7BUGEWTN}

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	2026-05-18T00:01:01.999445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f662384496deb981f4ea1be1a18969b65ed1dad8330245b56ac1ec9efc0a4b2

Aliases

arxiv: 1704.06384 · arxiv_version: 1704.06384v4 · doi: 10.48550/arxiv.1704.06384 · pith_short_12: L5TCHBCJNXVZ · pith_short_16: L5TCHBCJNXVZQH2O · pith_short_8: L5TCHBCJ

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/L5TCHBCJNXVZQH2OUG7BUGEWTN \
  | 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: 5f662384496deb981f4ea1be1a18969b65ed1dad8330245b56ac1ec9efc0a4b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "708334090db4042a5c27a788910aad647a6130463413b5835acf83f20d963a10",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-21T03:25:02Z",
    "title_canon_sha256": "9136e280418e8a9e23970faedffba99c493f8f08d69a1a6a1d9de8df09710580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06384",
    "kind": "arxiv",
    "version": 4
  }
}