Pith Number

pith:ZCOCTAI5

pith:2019:ZCOCTAI5TCFOQAB3FPBVNZ4PLF

not attested not anchored not stored refs pending

Distribution of Nonzero Digits in a Greedy Sequence of Powers of Two

David Wu

arxiv:1902.11198 v2 · 2019-02-25 · 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{ZCOCTAI5TCFOQAB3FPBVNZ4PLF}

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	2026-05-17T23:44:29.229727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89c29811d988ae8003b2bc356e78f597eb5f4e878d0a31f44a888b840283101

Aliases

arxiv: 1902.11198 · arxiv_version: 1902.11198v2 · doi: 10.48550/arxiv.1902.11198 · pith_short_12: ZCOCTAI5TCFO · pith_short_16: ZCOCTAI5TCFOQAB3 · pith_short_8: ZCOCTAI5

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/ZCOCTAI5TCFOQAB3FPBVNZ4PLF \
  | 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: c89c29811d988ae8003b2bc356e78f597eb5f4e878d0a31f44a888b840283101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac309072e8121b9471875855c9d13a3a9b7e65a3f6737b7e0f86b789d20bb46a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-25T06:36:04Z",
    "title_canon_sha256": "1acbdae1439be1812afd73249912832b2946bd3304e69cf2959f98862b502f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.11198",
    "kind": "arxiv",
    "version": 2
  }
}