Pith Number

pith:XZXTGWZ3

pith:2009:XZXTGWZ355EH5P5CQUMV5G5BJK

not attested not anchored not stored refs pending

Mimicking the marginal distributions of a semimartingale

Amel Bentata, Rama Cont

arxiv:0910.3992 v5 · 2009-10-21 · 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{XZXTGWZ355EH5P5CQUMV5G5BJK}

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	2026-05-18T03:55:35.812450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be6f335b3bef487ebfa285195e9ba14a99601583928d1e60f206d3bb4fdfea08

Aliases

arxiv: 0910.3992 · arxiv_version: 0910.3992v5 · doi: 10.48550/arxiv.0910.3992 · pith_short_12: XZXTGWZ355EH · pith_short_16: XZXTGWZ355EH5P5C · pith_short_8: XZXTGWZ3

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/XZXTGWZ355EH5P5CQUMV5G5BJK \
  | 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: be6f335b3bef487ebfa285195e9ba14a99601583928d1e60f206d3bb4fdfea08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "907d57f0dd734adeb2e529c00b68ebfa5e6e907f1e31096fdaec1fb2aaa4ceeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-21T04:12:21Z",
    "title_canon_sha256": "52fc48da8f5bf24926207d1e3483ec47c86a63ea2b81218592df224d9ba86c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3992",
    "kind": "arxiv",
    "version": 5
  }
}