Pith Number

pith:KKVJMSSC

pith:2010:KKVJMSSC4DQUAWCEWF5VUDSDBD

not attested not anchored not stored refs pending

The maximum of the Gaussian $1/f^{\alpha}$-noise in the case $\alpha<1$

Zakhar Kabluchko

arxiv:1010.1902 v1 · 2010-10-10 · 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{KKVJMSSC4DQUAWCEWF5VUDSDBD}

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	2026-05-18T04:39:30.085286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52aa964a42e0e1405844b17b5a0e4308ed95d3f4a622b6b63bf7326c532b09bc

Aliases

arxiv: 1010.1902 · arxiv_version: 1010.1902v1 · doi: 10.48550/arxiv.1010.1902 · pith_short_12: KKVJMSSC4DQU · pith_short_16: KKVJMSSC4DQUAWCE · pith_short_8: KKVJMSSC

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/KKVJMSSC4DQUAWCEWF5VUDSDBD \
  | 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: 52aa964a42e0e1405844b17b5a0e4308ed95d3f4a622b6b63bf7326c532b09bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c463be647c9638938d96a97fc0ef4df0539aa7297248c384837babd1f6336869",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-10T08:47:00Z",
    "title_canon_sha256": "7397660ec996bc5901517d74f63ab9fe04aea0cbbce4e919332bcec84e9d481a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1902",
    "kind": "arxiv",
    "version": 1
  }
}