Pith Number

pith:TI2B7PAQ

pith:2018:TI2B7PAQSAPTH4LMRBFUZW3B5E

not attested not anchored not stored refs pending

Product and Moment Formulas for Iterated Stochastic Integrals (associated with L\'evy Processes)

Christel Geiss, Paolo Di Tella

arxiv:1808.10670 v1 · 2018-08-31 · 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{TI2B7PAQSAPTH4LMRBFUZW3B5E}

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	2026-05-18T00:06:44.411215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a341fbc10901f33f16c884b4cdb61e93d482fd13cd10ed598e8f02e560f651f

Aliases

arxiv: 1808.10670 · arxiv_version: 1808.10670v1 · doi: 10.48550/arxiv.1808.10670 · pith_short_12: TI2B7PAQSAPT · pith_short_16: TI2B7PAQSAPTH4LM · pith_short_8: TI2B7PAQ

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/TI2B7PAQSAPTH4LMRBFUZW3B5E \
  | 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: 9a341fbc10901f33f16c884b4cdb61e93d482fd13cd10ed598e8f02e560f651f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43452d0572decde764d55b1062e8325b5bd8a9e13a0b7252138ed86ca6ac29f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-31T10:37:02Z",
    "title_canon_sha256": "9166ec34b49d02e262a9623db3a32c9dcdb10cd7d099306eb9ed5652040447c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10670",
    "kind": "arxiv",
    "version": 1
  }
}