Pith Number

pith:XSZ33IAC

pith:2018:XSZ33IACBRG3CO3CGPPTU43WRY

not attested not anchored not stored refs pending

A local Benford Law for a class of arithmetic sequences

A.J. Hildebrand, Junxian Li, Zhaodong Cai

arxiv:1808.01496 v2 · 2018-08-04 · 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{XSZ33IACBRG3CO3CGPPTU43WRY}

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	2026-07-05T03:03:59.578623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb3bda0020c4db13b6233df3a73768e3c590f8c1566b41f86caed77a25e065d

Aliases

arxiv: 1808.01496 · arxiv_version: 1808.01496v2 · doi: 10.48550/arxiv.1808.01496 · pith_short_12: XSZ33IACBRG3 · pith_short_16: XSZ33IACBRG3CO3C · pith_short_8: XSZ33IAC

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/XSZ33IACBRG3CO3CGPPTU43WRY \
  | 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: bcb3bda0020c4db13b6233df3a73768e3c590f8c1566b41f86caed77a25e065d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8706c8c6c40f74a769d97f3a7ccf481d56a8a0516323f79d375a9f60ab0bd105",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-04T15:50:43Z",
    "title_canon_sha256": "734f4132e66c851244b701d99fed0fd52e621b96bc66df586e266a6fb9973e7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01496",
    "kind": "arxiv",
    "version": 2
  }
}