Pith Number

pith:CP3LNEU6

pith:2010:CP3LNEU6IIH3CF5X66HSTAFZ3I

not attested not anchored not stored refs pending

Geometrical Versions of improved Berezin-Li-Yau Inequalities

Ari Laptev, Leander Geisinger, Timo Weidl

arxiv:1010.2683 v1 · 2010-10-13 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CP3LNEU6IIH3CF5X66HSTAFZ3I}

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	2026-05-18T04:01:23.348044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f6b6929e420fb117b7f78f2980b9da039ba2f4d121a9611e85c597d025f3f7

Aliases

arxiv: 1010.2683 · arxiv_version: 1010.2683v1 · doi: 10.48550/arxiv.1010.2683 · pith_short_12: CP3LNEU6IIH3 · pith_short_16: CP3LNEU6IIH3CF5X · pith_short_8: CP3LNEU6

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/CP3LNEU6IIH3CF5X66HSTAFZ3I \
  | 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: 13f6b6929e420fb117b7f78f2980b9da039ba2f4d121a9611e85c597d025f3f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea1da3d45cfd3388ea2e0bf958d7d4a76e1e514193f60807b6dfdba83490d59",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-10-13T15:20:23Z",
    "title_canon_sha256": "0971c0f80799a2cfe513b5ec2bafae4929fb32631b156d1737d2e0e999d48840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2683",
    "kind": "arxiv",
    "version": 1
  }
}