Pith Number

pith:RK5F6IPF

pith:2013:RK5F6IPFNBV6YEW4P3ZMDYJQWC

not attested not anchored not stored refs pending

Ergodicity and mixing bounds for the Fisher-Snedecor diffusion

A.M. Kulik, N.N. Leonenko

arxiv:1312.4674 v1 · 2013-12-17 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RK5F6IPFNBV6YEW4P3ZMDYJQWC}

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	2026-05-18T03:04:23.379482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aba5f21e5686bec12dc7ef2c1e130b0b85903b53f017e1a0bd60541cb6095a0

Aliases

arxiv: 1312.4674 · arxiv_version: 1312.4674v1 · doi: 10.48550/arxiv.1312.4674 · pith_short_12: RK5F6IPFNBV6 · pith_short_16: RK5F6IPFNBV6YEW4 · pith_short_8: RK5F6IPF

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/RK5F6IPFNBV6YEW4P3ZMDYJQWC \
  | 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: 8aba5f21e5686bec12dc7ef2c1e130b0b85903b53f017e1a0bd60541cb6095a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a85be427c7dac420cc5d9346bfda90991d27a876df5664a4a8ae947b1f83336",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-17T07:41:23Z",
    "title_canon_sha256": "7f49585ef65074f7b31e4d1fc0542d1f00cfef9b424cfbac52577f3c36dde863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4674",
    "kind": "arxiv",
    "version": 1
  }
}