Pith Number

pith:4D4JEGXA

pith:2010:4D4JEGXA2EDHGFYRRH2CSZIN3Z

not attested not anchored not stored refs pending

Small deviations for a family of smooth Gaussian processes

Frank Aurzada, Fuchang Gao, Qi-Man Shao, Thomas K\"uhn, Wenbo V. Li

arxiv:1009.5580 v2 · 2010-09-28 · 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{4D4JEGXA2EDHGFYRRH2CSZIN3Z}

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	2026-05-18T04:15:18.879289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f8921ae0d10673171189f429650dde467dc0143c7245fb9bb661c4b718d638

Aliases

arxiv: 1009.5580 · arxiv_version: 1009.5580v2 · doi: 10.48550/arxiv.1009.5580 · pith_short_12: 4D4JEGXA2EDH · pith_short_16: 4D4JEGXA2EDHGFYR · pith_short_8: 4D4JEGXA

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/4D4JEGXA2EDHGFYRRH2CSZIN3Z \
  | 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: e0f8921ae0d10673171189f429650dde467dc0143c7245fb9bb661c4b718d638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f9d902bc8eb58a68982e54115d23ea871b38c9daa7a314511da9f6be092ee5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-28T14:25:29Z",
    "title_canon_sha256": "94b81c664ed3f4f459b392cde473a8a66f7f5c6f7688e085ce458117f76fd225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5580",
    "kind": "arxiv",
    "version": 2
  }
}