Pith Number

pith:6PREWDT4

pith:2012:6PREWDT4FYSKJ3A6Q7IP4LQP36

not attested not anchored not stored refs pending

The majorizing measure approach to the sample boundedness

Witold Bednorz

arxiv:1211.3898 v1 · 2012-11-16 · 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{6PREWDT4FYSKJ3A6Q7IP4LQP36}

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	2026-05-18T03:40:37.666118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e24b0e7c2e24a4ec1e87d0fe2e0fdf90e9820a38391757080ed9174354a647

Aliases

arxiv: 1211.3898 · arxiv_version: 1211.3898v1 · doi: 10.48550/arxiv.1211.3898 · pith_short_12: 6PREWDT4FYSK · pith_short_16: 6PREWDT4FYSKJ3A6 · pith_short_8: 6PREWDT4

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/6PREWDT4FYSKJ3A6Q7IP4LQP36 \
  | 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: f3e24b0e7c2e24a4ec1e87d0fe2e0fdf90e9820a38391757080ed9174354a647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1151ef94e7d1f6edf9edfd8795c7bc8bc2434d0dccc2f1f7c1d1b33592d82084",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-16T14:20:51Z",
    "title_canon_sha256": "9082b38e3cbc056f25940f8a43e36ec37ef7ee211c4788a4dde78581aaae7cd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3898",
    "kind": "arxiv",
    "version": 1
  }
}