Pith Number

pith:CNICYQ67

pith:2014:CNICYQ67BRSXU3COKN6EZ64CUC

not attested not anchored not stored refs pending

Variances and Covariances in the Central Limit Theorem for the Output of a Transducer

Clemens Heuberger, Sara Kropf, Stephan Wagner

arxiv:1404.3680 v2 · 2014-04-14 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CNICYQ67BRSXU3COKN6EZ64CUC}

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	2026-05-18T02:19:06.068752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13502c43df0c657a6c4e537c4cfb82a0a35d182b54d5a9e5c349a9d7dfb02faf

Aliases

arxiv: 1404.3680 · arxiv_version: 1404.3680v2 · doi: 10.48550/arxiv.1404.3680 · pith_short_12: CNICYQ67BRSX · pith_short_16: CNICYQ67BRSXU3CO · pith_short_8: CNICYQ67

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/CNICYQ67BRSXU3COKN6EZ64CUC \
  | 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: 13502c43df0c657a6c4e537c4cfb82a0a35d182b54d5a9e5c349a9d7dfb02faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac8873d1687d5d2c1eae1f11b1b57f0589fd204f66a32d784f6a56893b903fd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-14T18:21:39Z",
    "title_canon_sha256": "519b447a71a9c90b173f6458852602a55be04cfea19dfa1dd1fb9183a9466a66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3680",
    "kind": "arxiv",
    "version": 2
  }
}