Pith Number

pith:JXQLBY7F

pith:2012:JXQLBY7F44ER6ZMAXID2XG7ZDS

not attested not anchored not stored refs pending

Probabilistic discrepancy bound for Monte Carlo point sets

Christoph Aistleitner, Markus Hofer

arxiv:1211.1058 v1 · 2012-11-05 · math.NA · 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{JXQLBY7F44ER6ZMAXID2XG7ZDS}

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	2026-05-18T03:41:28.654407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de0b0e3e5e7091f6580ba07ab9bf91ca28003f87c59946db3d7f258e41720cf

Aliases

arxiv: 1211.1058 · arxiv_version: 1211.1058v1 · doi: 10.48550/arxiv.1211.1058 · pith_short_12: JXQLBY7F44ER · pith_short_16: JXQLBY7F44ER6ZMA · pith_short_8: JXQLBY7F

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/JXQLBY7F44ER6ZMAXID2XG7ZDS \
  | 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: 4de0b0e3e5e7091f6580ba07ab9bf91ca28003f87c59946db3d7f258e41720cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a59c74ffecf5d723bfb9eac136bcb975d6c9e13714d22c34cb727e35fe736b7d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-11-05T22:25:04Z",
    "title_canon_sha256": "d83a7890759feb55586820c5cf8516336a4a2a4166ec0b6b8509d4dc5cc9cdee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1058",
    "kind": "arxiv",
    "version": 1
  }
}