Pith Number

pith:LBIRDPDP

pith:2015:LBIRDPDPRLPTKXWLE2TXQUKITG

not attested not anchored not stored refs pending

The exponential Lie series for continuous semimartingales

Anke Wiese, Frederic Patras, Kurusch Ebrahimi-Fard, Simon J.A. Malham

arxiv:1506.07686 v2 · 2015-06-25 · 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{LBIRDPDPRLPTKXWLE2TXQUKITG}

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	2026-05-18T00:34:00.322414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

585111bc6f8adf355ecb26a7785148998c8f7ef3e3b90fccd46177b411605b8f

Aliases

arxiv: 1506.07686 · arxiv_version: 1506.07686v2 · doi: 10.48550/arxiv.1506.07686 · pith_short_12: LBIRDPDPRLPT · pith_short_16: LBIRDPDPRLPTKXWL · pith_short_8: LBIRDPDP

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/LBIRDPDPRLPTKXWLE2TXQUKITG \
  | 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: 585111bc6f8adf355ecb26a7785148998c8f7ef3e3b90fccd46177b411605b8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f364da4379ae372dcaddabe6f769d3977c8bce28b644fc0adf8f6391d6580f1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-25T10:10:40Z",
    "title_canon_sha256": "836b9605b5d0793c7d2591764439f2a9cfa0479da082f72dfbfdd27ec0ffe5e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07686",
    "kind": "arxiv",
    "version": 2
  }
}