Pith Number

pith:DUFE2XDI

pith:2012:DUFE2XDI6QFOPP7PKC7C6Z5WH6

not attested not anchored not stored refs pending

Quasi self-dual exponential L\'evy processes

Michael Schmutz, Thorsten Rheinl\"ander

arxiv:1201.5132 v1 · 2012-01-24 · q-fin.RM · 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{DUFE2XDI6QFOPP7PKC7C6Z5WH6}

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	2026-05-18T04:03:55.522523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d0a4d5c68f40ae7bfef50be2f67b63f8623642843548c75a25aebe178896cd2

Aliases

arxiv: 1201.5132 · arxiv_version: 1201.5132v1 · doi: 10.48550/arxiv.1201.5132 · pith_short_12: DUFE2XDI6QFO · pith_short_16: DUFE2XDI6QFOPP7P · pith_short_8: DUFE2XDI

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/DUFE2XDI6QFOPP7PKC7C6Z5WH6 \
  | 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: 1d0a4d5c68f40ae7bfef50be2f67b63f8623642843548c75a25aebe178896cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fdf9f27fab2a681d176069dde9f6323e26547f6cfc46f57f19c9981b4715488",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2012-01-24T21:31:01Z",
    "title_canon_sha256": "4931845592459792a686ef0b932496dc68d5013be6453602f5abcf33671106c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5132",
    "kind": "arxiv",
    "version": 1
  }
}