Pith Number

pith:XTV42AQP

pith:2019:XTV42AQPGWEINQP372UE7ZGPBV

not attested not anchored not stored refs pending

Sequences of bounds for the spectral radius of a positive operator

Roman Drnov\v{s}ek

arxiv:1904.01835 v1 · 2019-04-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTV42AQPGWEINQP372UE7ZGPBV}

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	2026-05-17T23:49:29.529642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcebcd020f358886c1fbfea84fe4cf0d632b49cf6283696a9369b5eca6ca1d88

Aliases

arxiv: 1904.01835 · arxiv_version: 1904.01835v1 · doi: 10.48550/arxiv.1904.01835 · pith_short_12: XTV42AQPGWEI · pith_short_16: XTV42AQPGWEINQP3 · pith_short_8: XTV42AQP

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/XTV42AQPGWEINQP372UE7ZGPBV \
  | 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: bcebcd020f358886c1fbfea84fe4cf0d632b49cf6283696a9369b5eca6ca1d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb599cbe8463072da18a6a386e627bf44e6e9759ca166934a33bc89cdfbcdb76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-03T08:21:01Z",
    "title_canon_sha256": "348778f22af6684a9a1eac783af1cf4cc00aa5c9aa53ea65c2ed389d8c23c742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01835",
    "kind": "arxiv",
    "version": 1
  }
}