Pith Number

pith:Y6MTPFY4

pith:2011:Y6MTPFY4WBSPUOELQG7SDV5YZW

not attested not anchored not stored refs pending

On the uniform convergence of random series in Skorohod space and representations of c\`{a}dl\`{a}g infinitely divisible processes

Andreas Basse-O'Connor, Jan Rosi\'nski

arxiv:1111.1682 v3 · 2011-11-07 · 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{Y6MTPFY4WBSPUOELQG7SDV5YZW}

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	2026-05-18T03:04:24.416788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c79937971cb064fa388b81bf21d7b8cd83bf42ab053218f3c26a39a6c01dee16

Aliases

arxiv: 1111.1682 · arxiv_version: 1111.1682v3 · doi: 10.48550/arxiv.1111.1682 · pith_short_12: Y6MTPFY4WBSP · pith_short_16: Y6MTPFY4WBSPUOEL · pith_short_8: Y6MTPFY4

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/Y6MTPFY4WBSPUOELQG7SDV5YZW \
  | 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: c79937971cb064fa388b81bf21d7b8cd83bf42ab053218f3c26a39a6c01dee16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93eded9f0559b1246f50fb8f21cadee363ee2ba74c9c636de65e091618f7231b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-07T19:13:40Z",
    "title_canon_sha256": "18cc3c137e3e44ab640447ab74e6e2dfccc7cf8f49ee7135d7274a1332eef3d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1682",
    "kind": "arxiv",
    "version": 3
  }
}