Pith Number

pith:NF7GUSKN

pith:2012:NF7GUSKN5DBBEVJSRET4BRXWRL

not attested not anchored not stored refs pending

Quasi-sure convergence theorem in $p$-variation distance for stochastic differential equations

H. Boedihardjo, Z. Qian

arxiv:1204.5673 v1 · 2012-04-25 · 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{NF7GUSKN5DBBEVJSRET4BRXWRL}

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	2026-05-18T03:57:01.669498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

697e6a494de8c21255328927c0c6f68afda4b4c624c023beaaa74c483acb0a86

Aliases

arxiv: 1204.5673 · arxiv_version: 1204.5673v1 · doi: 10.48550/arxiv.1204.5673 · pith_short_12: NF7GUSKN5DBB · pith_short_16: NF7GUSKN5DBBEVJS · pith_short_8: NF7GUSKN

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/NF7GUSKN5DBBEVJSRET4BRXWRL \
  | 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: 697e6a494de8c21255328927c0c6f68afda4b4c624c023beaaa74c483acb0a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b4cbf86531a23f3fa1db34f5386a14f0b070c2aae59e3e582d013b55c856689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-25T14:51:41Z",
    "title_canon_sha256": "8450b13f26e9f48dada42d9203b8e2e4c779ceccc7944bb562f970042b33cf42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5673",
    "kind": "arxiv",
    "version": 1
  }
}