Pith Number

pith:UBEABAGS

pith:2021:UBEABAGSHAEYHZKNEQAZK7XY34

not attested not anchored not stored refs pending

On the difference between a D. H. Lehmer number and its inverse over short interval

Haodong Wang, Rong Ma, Yana Niu

arxiv:2104.00216 v1 · 2021-04-01 · 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{UBEABAGSHAEYHZKNEQAZK7XY34}

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	2026-07-05T02:28:25.046201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0480080d2380983e54d2401957ef8df3e26c5c219d15f6db6ea98ceb7c35e6b

Aliases

arxiv: 2104.00216 · arxiv_version: 2104.00216v1 · doi: 10.48550/arxiv.2104.00216 · pith_short_12: UBEABAGSHAEY · pith_short_16: UBEABAGSHAEYHZKN · pith_short_8: UBEABAGS

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/UBEABAGSHAEYHZKNEQAZK7XY34 \
  | 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: a0480080d2380983e54d2401957ef8df3e26c5c219d15f6db6ea98ceb7c35e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1586ca3f650724acb440aee61bbce41e3e74605bf4501bb0c0171556180e0f0a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-04-01T03:00:38Z",
    "title_canon_sha256": "e06802aec059987d642d562e0ec24ee2f33791833fe52624503299d70f8bd31a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.00216",
    "kind": "arxiv",
    "version": 1
  }
}