Pith Number

pith:Q7HLSSQZ

pith:2012:Q7HLSSQZ2O5XX3MC2CBUJLP432

not attested not anchored not stored refs pending

A Simple Proof of the Bichteler-Dellacherie Theorem

Mathias Beiglboeck, Pietro Siorpaes

arxiv:1201.1996 v5 · 2012-01-10 · 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{Q7HLSSQZ2O5XX3MC2CBUJLP432}

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	2026-05-18T02:53:05.003391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87ceb94a19d3bb7bed82d08344adfcdea1624af1f784de8295f2ea35a33bac66

Aliases

arxiv: 1201.1996 · arxiv_version: 1201.1996v5 · doi: 10.48550/arxiv.1201.1996 · pith_short_12: Q7HLSSQZ2O5X · pith_short_16: Q7HLSSQZ2O5XX3MC · pith_short_8: Q7HLSSQZ

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/Q7HLSSQZ2O5XX3MC2CBUJLP432 \
  | 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: 87ceb94a19d3bb7bed82d08344adfcdea1624af1f784de8295f2ea35a33bac66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6825dbe2a07593875c8f3e6aa04c139a878823d505c9a119e6e3764b7f382251",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-10T09:46:04Z",
    "title_canon_sha256": "ab169ca5390489c0f1d367158489b75ec4ffa2c5b565c6650db12cbbf36c0311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1996",
    "kind": "arxiv",
    "version": 5
  }
}