Pith Number

pith:I6EBB2GC

pith:2007:I6EBB2GCPFIPCNX5YSUQSCCYU7

not attested not anchored not stored refs pending

Transformations of L\'evy Processes

Michael Sch\"urmann, Michael Skeide, Silvia Volkwardt

arxiv:0712.3504 v2 · 2007-12-20 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6EBB2GCPFIPCNX5YSUQSCCYU7}

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	2026-05-18T03:06:52.334081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

478810e8c27950f136fdc4a9090858a7e9dcbd18e12ac84b7c3a112dd4ad99c3

Aliases

arxiv: 0712.3504 · arxiv_version: 0712.3504v2 · doi: 10.48550/arxiv.0712.3504 · pith_short_12: I6EBB2GCPFIP · pith_short_16: I6EBB2GCPFIPCNX5 · pith_short_8: I6EBB2GC

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/I6EBB2GCPFIPCNX5YSUQSCCYU7 \
  | 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: 478810e8c27950f136fdc4a9090858a7e9dcbd18e12ac84b7c3a112dd4ad99c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f45ec185672ae95067e6f3adc1f61190a69b1862eaf2d9f4cb37b895418cdced",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-12-20T17:21:27Z",
    "title_canon_sha256": "8346ae26c6959dc4a5f00f7c12e240f17eaf6e778082d08d3e82fb60f001a6da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3504",
    "kind": "arxiv",
    "version": 2
  }
}