Pith Number

pith:V5VLK3ST

pith:2023:V5VLK3STIHNEUFCSSFWMZEVLDV

not attested not anchored not stored refs pending

Extremal metrics for the eigenvalues of the Laplacian on manifolds with boundary

Eduardo Longa

arxiv:2305.05897 v2 · 2023-05-10 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5VLK3STIHNEUFCSSFWMZEVLDV}

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	2026-07-05T08:15:35.989771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af6ab56e5341da4a1452916ccc92ab1d7fe15bdb0549a1de48611f5e10837378

Aliases

arxiv: 2305.05897 · arxiv_version: 2305.05897v2 · doi: 10.48550/arxiv.2305.05897 · pith_short_12: V5VLK3STIHNE · pith_short_16: V5VLK3STIHNEUFCS · pith_short_8: V5VLK3ST

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/V5VLK3STIHNEUFCSSFWMZEVLDV \
  | 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: af6ab56e5341da4a1452916ccc92ab1d7fe15bdb0549a1de48611f5e10837378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd856abc77553593db847823d60a41d8b25a5641110a3d4dc7e9caf5ebea68b1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-05-10T04:59:33Z",
    "title_canon_sha256": "0c2f63ecc2661278b68283b122c5f8a7fe224f7f4c552a438c1aaf4a06d9d25d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.05897",
    "kind": "arxiv",
    "version": 2
  }
}