Pith Number

pith:BUTKCK73

pith:2013:BUTKCK73KGTFQETZATZ66A5H4U

not attested not anchored not stored refs pending

Asymptotic properties of Brownian motion delayed by inverse subordinators

Marcin Magdziarz, Rene L. Schilling

arxiv:1311.6043 v1 · 2013-11-23 · 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{BUTKCK73KGTFQETZATZ66A5H4U}

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	2026-05-18T03:06:20.723410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d26a12bfb51a658127904f3ef03a7e50f77ea96473b16cdaac106bc32bce7c4

Aliases

arxiv: 1311.6043 · arxiv_version: 1311.6043v1 · doi: 10.48550/arxiv.1311.6043 · pith_short_12: BUTKCK73KGTF · pith_short_16: BUTKCK73KGTFQETZ · pith_short_8: BUTKCK73

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/BUTKCK73KGTFQETZATZ66A5H4U \
  | 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: 0d26a12bfb51a658127904f3ef03a7e50f77ea96473b16cdaac106bc32bce7c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f434da51afd984568eb3ef2b64f2507a455be6e9621f596cb2f89e0b25037e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-23T19:59:24Z",
    "title_canon_sha256": "b18e9bffff903f56fb9266bec0990920759cc85b37ddf24bafdc959ac0bdec45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6043",
    "kind": "arxiv",
    "version": 1
  }
}