Pith Number

pith:RRX6LDU4

pith:2017:RRX6LDU4UVVXRAQWQWO6DSTRAV

not attested not anchored not stored refs pending

Limit theorems for functionals of two independent Gaussian processes

Fangjun Xu, Jian Song, Qian Yu

arxiv:1711.10642 v2 · 2017-11-29 · 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{RRX6LDU4UVVXRAQWQWO6DSTRAV}

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	2026-05-18T00:24:59.352171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c6fe58e9ca56b788216859de1ca71055a243afbbd3e0eab60b33ffc7615b430

Aliases

arxiv: 1711.10642 · arxiv_version: 1711.10642v2 · doi: 10.48550/arxiv.1711.10642 · pith_short_12: RRX6LDU4UVVX · pith_short_16: RRX6LDU4UVVXRAQW · pith_short_8: RRX6LDU4

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/RRX6LDU4UVVXRAQWQWO6DSTRAV \
  | 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: 8c6fe58e9ca56b788216859de1ca71055a243afbbd3e0eab60b33ffc7615b430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a9ca75ba9d3e608c3b2aeda33b4393b1ad030a6a56079a95466aeedace9de1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-29T01:39:40Z",
    "title_canon_sha256": "299650655eef931da95aa9f2eeab296ab1dbb802b4d3d0d5802a7a86612c18c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10642",
    "kind": "arxiv",
    "version": 2
  }
}