Pith Number

pith:YQH7Z5YD

pith:2005:YQH7Z5YDCJS2QX6DXYV6PTXWZ2

not attested not anchored not stored refs pending

Martingale structure of Skorohod integral processes

Ciprian A. Tudor (SAMOS), Giovanni Peccati (LSTA), Mich\`ele Thieullen (PMA)

arxiv:math/0502208 v1 · 2005-02-10 · 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{YQH7Z5YDCJS2QX6DXYV6PTXWZ2}

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	2026-05-18T01:08:51.325449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c40ffcf7031265a85fc3be2be7cef6ce955a94f3d2351cbfb63780b9ccc7c9b1

Aliases

arxiv: math/0502208 · arxiv_version: math/0502208v1 · doi: 10.48550/arxiv.math/0502208 · pith_short_12: YQH7Z5YDCJS2 · pith_short_16: YQH7Z5YDCJS2QX6D · pith_short_8: YQH7Z5YD

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/YQH7Z5YDCJS2QX6DXYV6PTXWZ2 \
  | 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: c40ffcf7031265a85fc3be2be7cef6ce955a94f3d2351cbfb63780b9ccc7c9b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b4cc6751194854f5ee4d298b12e0e38fd72024d0b3797fb2576a6ba838f72ae",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-02-10T13:41:10Z",
    "title_canon_sha256": "de89dd8c98bb66cb924d9c3bbe34f610dfb161e637275a9a21d90d96e2b46c7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502208",
    "kind": "arxiv",
    "version": 1
  }
}