Pith Number

pith:4WPGTSK7

pith:2018:4WPGTSK76HBRIGQL4GPORWKXPB

not attested not anchored not stored refs pending

Central Limit Theorems for Diophantine approximants

Alexander Gorodnik, Michael Bj\"orklund

arxiv:1804.06084 v1 · 2018-04-17 · math.DS · math.NT · 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{4WPGTSK76HBRIGQL4GPORWKXPB}

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	2026-05-18T00:18:21.758140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59e69c95ff1c3141a0be19ee8d9577846d3a1b30e25674846e0772746d068d1

Aliases

arxiv: 1804.06084 · arxiv_version: 1804.06084v1 · doi: 10.48550/arxiv.1804.06084 · pith_short_12: 4WPGTSK76HBR · pith_short_16: 4WPGTSK76HBRIGQL · pith_short_8: 4WPGTSK7

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/4WPGTSK76HBRIGQL4GPORWKXPB \
  | 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: e59e69c95ff1c3141a0be19ee8d9577846d3a1b30e25674846e0772746d068d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c5567ef3be9efe91daa546cbd8c6901a5705ee7a39c381badc5ed8ff4c716e7",
    "cross_cats_sorted": [
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-17T07:48:57Z",
    "title_canon_sha256": "ce41d4e0fe596cb77fa942abe8e7d4acc58f4f29d6c93f7f45cc217b68f7b7aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06084",
    "kind": "arxiv",
    "version": 1
  }
}