Pith Number

pith:QMYU2H7L

pith:2010:QMYU2H7L4TSTMEQ76BMK7PGW6L

not attested not anchored not stored refs pending

A Generalization of a Levitin and Parnovski Universal Inequality for Eigenvalues

Makhoul Ola (LMPT), Said Ilias (LMPT)

arxiv:1012.0704 v1 · 2010-12-03 · 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{QMYU2H7L4TSTMEQ76BMK7PGW6L}

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	2026-05-18T04:34:09.561295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83314d1febe4e536121ff058afbcd6f2f981de55968800f0dbdf019c582913a1

Aliases

arxiv: 1012.0704 · arxiv_version: 1012.0704v1 · doi: 10.48550/arxiv.1012.0704 · pith_short_12: QMYU2H7L4TST · pith_short_16: QMYU2H7L4TSTMEQ7 · pith_short_8: QMYU2H7L

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/QMYU2H7L4TSTMEQ76BMK7PGW6L \
  | 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: 83314d1febe4e536121ff058afbcd6f2f981de55968800f0dbdf019c582913a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a40c022b754ee2f600680a28fec2473d98d51deb769052318f5ec3090e1153d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-12-03T11:23:50Z",
    "title_canon_sha256": "0c7d1355308b5d9d8fd858390efd2a60970fd1f87a6c78307b772fbe2a50cdeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0704",
    "kind": "arxiv",
    "version": 1
  }
}