Pith Number

pith:YOGSBLNL

pith:2011:YOGSBLNLD2E7WHCSPYFPFTV63P

not attested not anchored not stored refs pending

A bound below for the convex hull of the spectrum of a matrix

Eliahu Levy

arxiv:1102.5027 v1 · 2011-02-24 · 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{YOGSBLNLD2E7WHCSPYFPFTV63P}

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	2026-05-18T04:27:57.549921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38d20adab1e89fb1c527e0af2cebedbdf1b5d7ca47516ddc029c8559b4d25f9

Aliases

arxiv: 1102.5027 · arxiv_version: 1102.5027v1 · doi: 10.48550/arxiv.1102.5027 · pith_short_12: YOGSBLNLD2E7 · pith_short_16: YOGSBLNLD2E7WHCS · pith_short_8: YOGSBLNL

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/YOGSBLNLD2E7WHCSPYFPFTV63P \
  | 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: c38d20adab1e89fb1c527e0af2cebedbdf1b5d7ca47516ddc029c8559b4d25f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd4831966a4c054e424f421b2bf6de1d41d46ea3d976914ba2130bd60a53b05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-02-24T16:19:11Z",
    "title_canon_sha256": "bee44f94f74449c750e51a4197d9bd0d8ea560d1c2b2b25f01e4984d435a7ce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5027",
    "kind": "arxiv",
    "version": 1
  }
}