Pith Number

pith:6UMLINMB

pith:2015:6UMLINMB3HHBU2PEIGTD23TGAQ

not attested not anchored not stored refs pending

Central limit theorem under uncertain linear transformations

Dmitry B. Rokhlin

arxiv:1505.01084 v2 · 2015-05-05 · 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{6UMLINMB3HHBU2PEIGTD23TGAQ}

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	2026-05-18T01:36:43.157612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f518b43581d9ce1a69e441a63d6e6604227f5da4042d820f36b24be489c4c0c6

Aliases

arxiv: 1505.01084 · arxiv_version: 1505.01084v2 · doi: 10.48550/arxiv.1505.01084 · pith_short_12: 6UMLINMB3HHB · pith_short_16: 6UMLINMB3HHBU2PE · pith_short_8: 6UMLINMB

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/6UMLINMB3HHBU2PEIGTD23TGAQ \
  | 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: f518b43581d9ce1a69e441a63d6e6604227f5da4042d820f36b24be489c4c0c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1532764ae14b313e6afa0216732085e0830b7c49860417864196da3d7b425d4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-05T17:05:45Z",
    "title_canon_sha256": "0bb40de511c30ee22be71ceb142d0356502c77c92a460660af6c4e10661b42c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01084",
    "kind": "arxiv",
    "version": 2
  }
}