Pith Number

pith:GRWPNX6F

pith:2010:GRWPNX6FOK2PJM5VL5KB47O56E

not attested not anchored not stored refs pending

A note on the existence of transition probability densities for L\'evy processes

R.L. Schilling, V. Knopova

arxiv:1003.1419 v3 · 2010-03-06 · 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{GRWPNX6FOK2PJM5VL5KB47O56E}

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	2026-05-18T02:46:15.336112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346cf6dfc572b4f4b3b55f541e7dddf1160b2f7556ad07a27670d0b19f3d3eb0

Aliases

arxiv: 1003.1419 · arxiv_version: 1003.1419v3 · doi: 10.48550/arxiv.1003.1419 · pith_short_12: GRWPNX6FOK2P · pith_short_16: GRWPNX6FOK2PJM5V · pith_short_8: GRWPNX6F

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/GRWPNX6FOK2PJM5VL5KB47O56E \
  | 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: 346cf6dfc572b4f4b3b55f541e7dddf1160b2f7556ad07a27670d0b19f3d3eb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eedb4197c02c01b52d647260b2b1bfba4ba5ff654ba9709b3892721359e9a61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-06T20:02:28Z",
    "title_canon_sha256": "0881e7addbeea72c8faa73bf452e979f726cbe97bfd06e0346e8b9f954353752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1419",
    "kind": "arxiv",
    "version": 3
  }
}