Pith Number

pith:OLCQBY5I

pith:2010:OLCQBY5IHSP66XYNIQCRDBOWQP

not attested not anchored not stored refs pending

A Direct Proof of the Bichteler--Dellacherie Theorem and Connections to Arbitrage

Bezirgen Veliyev, Mathias Beiglb\"ock, Walter Schachermayer

arxiv:1004.5559 v1 · 2010-04-30 · math.PR · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLCQBY5IHSP66XYNIQCRDBOWQP}

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	2026-05-18T02:24:09.799357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72c500e3a83c9fef5f0d44051185d683f5f554e853298da143c7a1704bfbc1d4

Aliases

arxiv: 1004.5559 · arxiv_version: 1004.5559v1 · doi: 10.48550/arxiv.1004.5559 · pith_short_12: OLCQBY5IHSP6 · pith_short_16: OLCQBY5IHSP66XYN · pith_short_8: OLCQBY5I

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/OLCQBY5IHSP66XYNIQCRDBOWQP \
  | 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: 72c500e3a83c9fef5f0d44051185d683f5f554e853298da143c7a1704bfbc1d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e1be2ef2f4739d0467c49ea2818a1875c24f48651a6e01a8ecd02549c2495d",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-30T15:32:54Z",
    "title_canon_sha256": "4df80f392cfd18ea78288bfef8f6bd1f2f14d6474af7c946b5bb73c96fad784e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5559",
    "kind": "arxiv",
    "version": 1
  }
}