Pith Number

pith:4NJOSJWJ

pith:2013:4NJOSJWJYH2SSUBDLE2JRZSJ4K

not attested not anchored not stored refs pending

First time to exit of a continuous It\^o process: general moment estimates and L1-convergence rate for discrete time approximations

Bruno Bouchard (CEREMADE, CREST), Emmanuel Gobet (CMAP), Stefan Geiss

arxiv:1307.4247 v2 · 2013-07-16 · 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{4NJOSJWJYH2SSUBDLE2JRZSJ4K}

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	2026-05-18T02:43:16.519662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e352e926c9c1f5295023593498e649e2a3e4e72323d00d1a6864ab7cf2603c82

Aliases

arxiv: 1307.4247 · arxiv_version: 1307.4247v2 · doi: 10.48550/arxiv.1307.4247 · pith_short_12: 4NJOSJWJYH2S · pith_short_16: 4NJOSJWJYH2SSUBD · pith_short_8: 4NJOSJWJ

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/4NJOSJWJYH2SSUBDLE2JRZSJ4K \
  | 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: e352e926c9c1f5295023593498e649e2a3e4e72323d00d1a6864ab7cf2603c82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1d68ec6a20e192a7978c2c864b668cc29a13420793f868fac7e9dd3bf321f24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-16T11:46:45Z",
    "title_canon_sha256": "432b71a77071bcb5a317288658351300486723e73090a953075fa359d974e7f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4247",
    "kind": "arxiv",
    "version": 2
  }
}