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Pith Number

pith:RSJOEIDC

pith:2013:RSJOEIDCV3RRUXVVL4SZDMGZOD
not attested not anchored not stored refs pending

On exponential functionals of Levy processes

Alexander Lindner, Anita Behme

arxiv:1301.3272 v2 · 2013-01-15 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RSJOEIDCV3RRUXVVL4SZDMGZOD}

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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 2026-05-18T03:19:45.786712Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8c92e22062aee31a5eb55f2591b0d970ced7ebdd8207527f66c84f8d5ec0fe8c

Aliases

arxiv: 1301.3272 · arxiv_version: 1301.3272v2 · doi: 10.48550/arxiv.1301.3272 · pith_short_12: RSJOEIDCV3RR · pith_short_16: RSJOEIDCV3RRUXVV · pith_short_8: RSJOEIDC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RSJOEIDCV3RRUXVVL4SZDMGZOD \
  | 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: 8c92e22062aee31a5eb55f2591b0d970ced7ebdd8207527f66c84f8d5ec0fe8c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ffdcd9d196d14c851f18b2042670e04baee363be1b6bad29840e6929ca275f2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-15T09:13:25Z",
    "title_canon_sha256": "bc1728560e1085ad9e6aa1cb985f96cab569b00553c552e0307f5198d8eb6bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3272",
    "kind": "arxiv",
    "version": 2
  }
}