Pith Number

pith:BP6Y5X42

pith:2018:BP6Y5X42LDXQGV7EKCIVTDVIIH

not attested not anchored not stored refs pending

Bounds on the spectral radius of real-valued non-negative Kernels on measurable spaces

Heinz Koeppl, Mark Sinzger, Wasiur R. KhudaBukhsh

arxiv:1808.00258 v2 · 2018-08-01 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BP6Y5X42LDXQGV7EKCIVTDVIIH}

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	2026-05-18T00:06:37.197930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bfd8edf9a58ef0357e45091598ea841ec35424e11ef7871fea69ed26aad7b4e

Aliases

arxiv: 1808.00258 · arxiv_version: 1808.00258v2 · doi: 10.48550/arxiv.1808.00258 · pith_short_12: BP6Y5X42LDXQ · pith_short_16: BP6Y5X42LDXQGV7E · pith_short_8: BP6Y5X42

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/BP6Y5X42LDXQGV7EKCIVTDVIIH \
  | 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: 0bfd8edf9a58ef0357e45091598ea841ec35424e11ef7871fea69ed26aad7b4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21848af8e6a1b7d94ccfc55868cd92b9dc805e404591b4929a46d5edccae9bf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-01T10:49:16Z",
    "title_canon_sha256": "136749ee666b047c8263e094d0168e453bb1b8d9c32478f725bf84e6c36446d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00258",
    "kind": "arxiv",
    "version": 2
  }
}