Pith Number

pith:N3HMBDRC

pith:2012:N3HMBDRCQBAPJLFMS2LZML4746

not attested not anchored not stored refs pending

On certain integral functionals of squared Bessel processes

Umut \c{C}etin

arxiv:1209.4919 v4 · 2012-09-21 · 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{N3HMBDRCQBAPJLFMS2LZML4746}

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	2026-05-18T01:56:00.171304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ecec08e228040f4acac9697962f9fe79c8dcefa6221df6899f3853ad66b02d5

Aliases

arxiv: 1209.4919 · arxiv_version: 1209.4919v4 · doi: 10.48550/arxiv.1209.4919 · pith_short_12: N3HMBDRCQBAP · pith_short_16: N3HMBDRCQBAPJLFM · pith_short_8: N3HMBDRC

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/N3HMBDRCQBAPJLFMS2LZML4746 \
  | 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: 6ecec08e228040f4acac9697962f9fe79c8dcefa6221df6899f3853ad66b02d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb75cd449a34a716718dd4b4aff1dd90d35fbd4586097f4e7ffb2dd5740855d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-21T20:58:20Z",
    "title_canon_sha256": "18e3a97e4b01efa6f89a7a30953ccfbb7e38e211b1c4409e6788231ab27e8056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4919",
    "kind": "arxiv",
    "version": 4
  }
}