Pith Number

pith:KZ4KA5GU

pith:2023:KZ4KA5GUGSZ5ACDE3QQ6NFRAQU

not attested not anchored not stored refs pending

The Second Dirichlet Eigenvalue is Simple on Every Non-equilateral Triangle, Part II: Nearly Equilateral Triangles

Ryoki Endo, Xuefeng Liu

arxiv:2305.14063 v6 · 2023-05-23 · 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{KZ4KA5GUGSZ5ACDE3QQ6NFRAQU}

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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.

Cited by

1 paper in Pith

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues

Receipt and verification

First computed	2026-07-05T11:39:01.037718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5678a074d434b3d00864dc21e69620852df48668137ee049a3f77f8e3c6c8c07

Aliases

arxiv: 2305.14063 · arxiv_version: 2305.14063v6 · doi: 10.48550/arxiv.2305.14063 · pith_short_12: KZ4KA5GUGSZ5 · pith_short_16: KZ4KA5GUGSZ5ACDE · pith_short_8: KZ4KA5GU

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/KZ4KA5GUGSZ5ACDE3QQ6NFRAQU \
  | 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: 5678a074d434b3d00864dc21e69620852df48668137ee049a3f77f8e3c6c8c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0b7b732109b192b999044426df54be39792f8c748ebdf4249c5477d9d418cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2023-05-23T13:42:22Z",
    "title_canon_sha256": "5eb95b7af191b71feb76644196586a8a3dce8871feb6cb94b1f6586c8d8536a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.14063",
    "kind": "arxiv",
    "version": 6
  }
}