Pith Number

pith:BXYX7M4Q

pith:2015:BXYX7M4QOAE2L2E4D4LWUGMB2B

not attested not anchored not stored refs pending

Convex Hulls of L\'evy Processes

Florian Wespi, Ilya Molchanov

arxiv:1512.07015 v2 · 2015-12-22 · 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{BXYX7M4QOAE2L2E4D4LWUGMB2B}

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	2026-05-18T01:03:59.736902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df17fb3907009a5e89c1f176a1981d07af4ee58061b2a3f57f3032513e4391a

Aliases

arxiv: 1512.07015 · arxiv_version: 1512.07015v2 · doi: 10.48550/arxiv.1512.07015 · pith_short_12: BXYX7M4QOAE2 · pith_short_16: BXYX7M4QOAE2L2E4 · pith_short_8: BXYX7M4Q

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/BXYX7M4QOAE2L2E4D4LWUGMB2B \
  | 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: 0df17fb3907009a5e89c1f176a1981d07af4ee58061b2a3f57f3032513e4391a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cfed3c1e6747cdaa711e224566ac1a54962cb28b2bbe2ca7c14d6e23284d8a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-22T10:17:15Z",
    "title_canon_sha256": "9ac12acb542acd5c246f0784a594d00a2307fe9939e2bf2dc392115239e429cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07015",
    "kind": "arxiv",
    "version": 2
  }
}