Pith Number

pith:VJ3VKSF2

pith:2016:VJ3VKSF2BVEJMVRRUAY3TSPKJ7

not attested not anchored not stored refs pending

Optimal Strong Approximation of the One-dimensional Squared {B}essel Process

Andr\'e Herzwurm, Mario Hefter

arxiv:1601.01455 v1 · 2016-01-07 · math.PR · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJ3VKSF2BVEJMVRRUAY3TSPKJ7}

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	2026-05-18T01:23:13.625281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa775548ba0d48965631a031b9c9ea4fe5f1c0aaaf4ac0b0c430a0ebc3302b75

Aliases

arxiv: 1601.01455 · arxiv_version: 1601.01455v1 · doi: 10.48550/arxiv.1601.01455 · pith_short_12: VJ3VKSF2BVEJ · pith_short_16: VJ3VKSF2BVEJMVRR · pith_short_8: VJ3VKSF2

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/VJ3VKSF2BVEJMVRRUAY3TSPKJ7 \
  | 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: aa775548ba0d48965631a031b9c9ea4fe5f1c0aaaf4ac0b0c430a0ebc3302b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9fb83a16a6aecb1ddee9244cb9379adc6a845ddbcb9155e63cc3673054c1ed2",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-07T09:28:54Z",
    "title_canon_sha256": "4afb37bec8cf94b1c9b6e7b4624be97966d6394b84c818aac97e5253178ff477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01455",
    "kind": "arxiv",
    "version": 1
  }
}