Pith Number

pith:6WXPGYJA

pith:2013:6WXPGYJAHZJUNT33WP6VNFP5VV

not attested not anchored not stored refs pending

Some remarks on MCMC estimation of spectra of integral operators

Rados{\l}aw Adamczak, Witold Bednorz

arxiv:1311.7566 v3 · 2013-11-29 · 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{6WXPGYJAHZJUNT33WP6VNFP5VV}

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	2026-05-18T01:32:43.901330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5aef361203e5346cf7bb3fd5695fdad60b1576ff57197231346a365f416f230

Aliases

arxiv: 1311.7566 · arxiv_version: 1311.7566v3 · doi: 10.48550/arxiv.1311.7566 · pith_short_12: 6WXPGYJAHZJU · pith_short_16: 6WXPGYJAHZJUNT33 · pith_short_8: 6WXPGYJA

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/6WXPGYJAHZJUNT33WP6VNFP5VV \
  | 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: f5aef361203e5346cf7bb3fd5695fdad60b1576ff57197231346a365f416f230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "732e0bd132780374cd9570e4af94321fc11c6e5d6b6f5e7767a21d840fe1c8bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-29T13:58:48Z",
    "title_canon_sha256": "5d343bebf1335e223d0f48bdf4f3f241dceabc2a6790ddb843dbd9a43761eb8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7566",
    "kind": "arxiv",
    "version": 3
  }
}