Pith Number

pith:NBNADBOC

pith:2016:NBNADBOCOI6LX537J2B5ABVI3C

not attested not anchored not stored refs pending

A computable bound of the essential spectral radius of finite range Metropolis--Hastings kernels

James Ledoux (IRMAR), Lo\"ic Herv\'e (IRMAR)

arxiv:1611.07809 v1 · 2016-11-23 · 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{NBNADBOCOI6LX537J2B5ABVI3C}

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	2026-05-18T00:56:59.762188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

685a0185c2723cbbf77f4e83d006a8d8b35e1a3224a50972c72d4ed185c27997

Aliases

arxiv: 1611.07809 · arxiv_version: 1611.07809v1 · doi: 10.48550/arxiv.1611.07809 · pith_short_12: NBNADBOCOI6L · pith_short_16: NBNADBOCOI6LX537 · pith_short_8: NBNADBOC

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/NBNADBOCOI6LX537J2B5ABVI3C \
  | 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: 685a0185c2723cbbf77f4e83d006a8d8b35e1a3224a50972c72d4ed185c27997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8733672004ab02e85f3b3119232dd4a200d16b2a0b758b9e24d1236e6c268812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-23T14:22:34Z",
    "title_canon_sha256": "25b0b9e649aee58f77d7e2771166b402bfd6f89f14cec5d644b056f809723a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07809",
    "kind": "arxiv",
    "version": 1
  }
}