Pith Number

pith:3I2Z3Q25

pith:2013:3I2Z3Q25RYJK7SLRK7JKIRU3K3

not attested not anchored not stored refs pending

Estimates of transition densities and their derivatives for jump L\'evy processes

Kamil Kaleta, Pawe{\l} Sztonyk

arxiv:1307.1302 v3 · 2013-07-04 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I2Z3Q25RYJK7SLRK7JKIRU3K3}

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	2026-05-18T01:59:39.034093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da359dc35d8e12afc97157d2a4469b56f0c2c56d6a89bf63b7696948e19f82eb

Aliases

arxiv: 1307.1302 · arxiv_version: 1307.1302v3 · doi: 10.48550/arxiv.1307.1302 · pith_short_12: 3I2Z3Q25RYJK · pith_short_16: 3I2Z3Q25RYJK7SLR · pith_short_8: 3I2Z3Q25

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/3I2Z3Q25RYJK7SLRK7JKIRU3K3 \
  | 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: da359dc35d8e12afc97157d2a4469b56f0c2c56d6a89bf63b7696948e19f82eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8875cc7d317c0658166d2a0e5e47a5830e6bb5b65a3640238e31edd0c4526c7e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-04T12:31:59Z",
    "title_canon_sha256": "94f0b6154e5f10988e137b9d969c3fdcadba1f38d8757e1a0397937599c27016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1302",
    "kind": "arxiv",
    "version": 3
  }
}