Pith Number

pith:B25ZNTJL

pith:2000:B25ZNTJLFOLXS2IRFQC47ZH3UW

not attested not anchored not stored refs pending

Riemannian Manifolds With Uniformly Bounded Eigenfunctions

John Toth, Steve Zelditch

arxiv:math-ph/0002038 v2 · 2000-02-15 · math-ph · math.MP · 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{B25ZNTJLFOLXS2IRFQC47ZH3UW}

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	2026-05-18T03:35:54.904442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ebb96cd2b2b977969112c05cfe4fba5ace14feb2d41e2fb2f0d7a98f37c14bb

Aliases

arxiv: math-ph/0002038 · arxiv_version: math-ph/0002038v2 · doi: 10.48550/arxiv.math-ph/0002038 · pith_short_12: B25ZNTJLFOLX · pith_short_16: B25ZNTJLFOLXS2IR · pith_short_8: B25ZNTJL

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/B25ZNTJLFOLXS2IRFQC47ZH3UW \
  | 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: 0ebb96cd2b2b977969112c05cfe4fba5ace14feb2d41e2fb2f0d7a98f37c14bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a942a797346fb31b5dbbb76405a52dd1c33760bd92c9a45a17add6dd49a8c130",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-02-15T16:58:33Z",
    "title_canon_sha256": "19881791e9a2fc2a46442c37b10e50ee21f4f4abb3ba9257c1f74c7121cf8bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0002038",
    "kind": "arxiv",
    "version": 2
  }
}