Pith Number

pith:UXUBVLBN

pith:2016:UXUBVLBNGYAVCCQBVEZQSF7BQM

not attested not anchored not stored refs pending

Central Limit Theorem for probability measures defined by sum-of-digits function in base 2

I2M), Jordan Emme (1), Pascal Hubert (1) ((1) AMU

arxiv:1605.06297 v2 · 2016-05-20 · math.PR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXUBVLBNGYAVCCQBVEZQSF7BQM}

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	2026-05-17T23:48:12.468946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5e81aac2d3601510a01a9330917e18335d353b9621ac4e9a620a58c2b4154d2

Aliases

arxiv: 1605.06297 · arxiv_version: 1605.06297v2 · doi: 10.48550/arxiv.1605.06297 · pith_short_12: UXUBVLBNGYAV · pith_short_16: UXUBVLBNGYAVCCQB · pith_short_8: UXUBVLBN

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/UXUBVLBNGYAVCCQBVEZQSF7BQM \
  | 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: a5e81aac2d3601510a01a9330917e18335d353b9621ac4e9a620a58c2b4154d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "552e834c710102fa60c97f42cadea48ee3a8a676f2e0341309560a456b64198c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-20T11:31:29Z",
    "title_canon_sha256": "2b990d6845fdbd8a21ee75736007cd65e830b256bd4147828ec1c7ea89a8cd24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06297",
    "kind": "arxiv",
    "version": 2
  }
}