Pith Number

pith:PTVPV4VG

pith:2019:PTVPV4VGLCOQHKF264WZTT2CLC

not attested not anchored not stored refs pending

Convergence of the rescaled Whittaker stochastic differential equations and independent sums

Yu-Ting Chen

arxiv:1910.05333 v4 · 2019-10-11 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTVPV4VGLCOQHKF264WZTT2CLC}

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	2026-07-05T02:05:37.777703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ceafaf2a6589d03a8baf72d99cf4258aad4eb6c8c83839884e96f33318708b1

Aliases

arxiv: 1910.05333 · arxiv_version: 1910.05333v4 · doi: 10.48550/arxiv.1910.05333 · pith_short_12: PTVPV4VGLCOQ · pith_short_16: PTVPV4VGLCOQHKF2 · pith_short_8: PTVPV4VG

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/PTVPV4VGLCOQHKF264WZTT2CLC \
  | 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: 7ceafaf2a6589d03a8baf72d99cf4258aad4eb6c8c83839884e96f33318708b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29201b7c213f1916c72c170e2407244f30bdcc34df3e6a7a9b2f9fb9fb6fe137",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-10-11T17:56:36Z",
    "title_canon_sha256": "2e9beb49d3462a0cfb0669906a7f50f182f5c6f4c26f24ee082fa8c4eeccb9dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.05333",
    "kind": "arxiv",
    "version": 4
  }
}