Pith Number

pith:SO3P4H2X

pith:2012:SO3P4H2X7TAZNH5DYNGP6MNQNY

not attested not anchored not stored refs pending

Spectrally negative Levy processes perturbed by functionals of their running supremum

Andreas E. Kyprianou, Curdin Ott

arxiv:1204.1676 v1 · 2012-04-07 · 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{SO3P4H2X7TAZNH5DYNGP6MNQNY}

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	2026-05-18T03:58:23.459911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b6fe1f57fcc1969fa3c34cff31b06e101c9fd264704f82ede028ed0181c3e7

Aliases

arxiv: 1204.1676 · arxiv_version: 1204.1676v1 · doi: 10.48550/arxiv.1204.1676 · pith_short_12: SO3P4H2X7TAZ · pith_short_16: SO3P4H2X7TAZNH5D · pith_short_8: SO3P4H2X

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/SO3P4H2X7TAZNH5DYNGP6MNQNY \
  | 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: 93b6fe1f57fcc1969fa3c34cff31b06e101c9fd264704f82ede028ed0181c3e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b0dcf788e15f801e700546b46d880d21a4a8e92ceab50da8bcab5d87c7c67f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-07T20:16:42Z",
    "title_canon_sha256": "ee2731a80749b8b636365a57dfb53b020145f7685038f46ff6aa77b191d43798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1676",
    "kind": "arxiv",
    "version": 1
  }
}