Pith Number

pith:CIRTDY3Q

pith:2017:CIRTDY3QUMK7AUA5NZZ3BBALG3

not attested not anchored not stored refs pending

Central limit theorem and Diophantine approximations

Sergey G. Bobkov

arxiv:1706.09643 v1 · 2017-06-29 · 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{CIRTDY3QUMK7AUA5NZZ3BBALG3}

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	2026-05-18T00:41:14.289154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122331e370a315f0501d6e73b0840b36c0ed20c89563b9ff32a9c478e586cf84

Aliases

arxiv: 1706.09643 · arxiv_version: 1706.09643v1 · doi: 10.48550/arxiv.1706.09643 · pith_short_12: CIRTDY3QUMK7 · pith_short_16: CIRTDY3QUMK7AUA5 · pith_short_8: CIRTDY3Q

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/CIRTDY3QUMK7AUA5NZZ3BBALG3 \
  | 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: 122331e370a315f0501d6e73b0840b36c0ed20c89563b9ff32a9c478e586cf84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4dd1fb906e6c0f0794d2c77ac60d56d513f2f07e07b5d6a6eded3230afbf3a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-29T09:28:36Z",
    "title_canon_sha256": "98d4fd878fe2e0bcaee848f269ac93614bedb4182800eb7b6ac5fa05635e2817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09643",
    "kind": "arxiv",
    "version": 1
  }
}