Pith Number

pith:CBQHHEZU

pith:2018:CBQHHEZURHQM34LCISVZXUWAQA

not attested not anchored not stored refs pending

Reduction principle for functionals of vector random fields

Andriy Olenko, Dareen Omari

arxiv:1803.11271 v1 · 2018-03-29 · 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{CBQHHEZURHQM34LCISVZXUWAQA}

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	2026-05-18T00:19:46.522417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106073933489e0cdf16244ab9bd2c0801b3bbed9b7ced6e4300646fcea8b8609

Aliases

arxiv: 1803.11271 · arxiv_version: 1803.11271v1 · doi: 10.48550/arxiv.1803.11271 · pith_short_12: CBQHHEZURHQM · pith_short_16: CBQHHEZURHQM34LC · pith_short_8: CBQHHEZU

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/CBQHHEZURHQM34LCISVZXUWAQA \
  | 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: 106073933489e0cdf16244ab9bd2c0801b3bbed9b7ced6e4300646fcea8b8609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae9c2a242469b2962fa9cd2eb30f70c8ccdff04559f56252c4ab19ab312f7305",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-29T22:09:33Z",
    "title_canon_sha256": "d3672abc592c30b35acf7672524e91d04bb92cd3209d0abfa0a93aeb707abdce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11271",
    "kind": "arxiv",
    "version": 1
  }
}