Pith Number

pith:HRBGLK23

pith:2011:HRBGLK23DTZ36U653RLJHNA3MI

not attested not anchored not stored refs pending

Explicit error bounds for Markov chain Monte Carlo

Daniel Rudolf

arxiv:1108.3201 v2 · 2011-08-16 · math.PR · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRBGLK23DTZ36U653RLJHNA3MI}

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.

Cited by

1 paper in Pith

On the Induced Norms of Matrices and Grothendieck problems

Receipt and verification

First computed	2026-06-03T23:06:59.733501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c4265ab5b1cf3bf53dddc5693b41b621835d949a3bbce54c37fdb020abc84eb

Aliases

arxiv: 1108.3201 · arxiv_version: 1108.3201v2 · doi: 10.48550/arxiv.1108.3201 · pith_short_12: HRBGLK23DTZ3 · pith_short_16: HRBGLK23DTZ36U65 · pith_short_8: HRBGLK23

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/HRBGLK23DTZ36U653RLJHNA3MI \
  | 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: 3c4265ab5b1cf3bf53dddc5693b41b621835d949a3bbce54c37fdb020abc84eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d17e5f8fad77664b48cf1fec669da48fcab286af1b5ae93995c7b9f091b71d13",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-16T10:30:31Z",
    "title_canon_sha256": "e276a1ec5a2d7a95b8dbf08a15b9bff1c648a0dccdf4a0bb1e04cae4e17bd4e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3201",
    "kind": "arxiv",
    "version": 2
  }
}