Pith Number

pith:LAZ4LNCO

pith:2017:LAZ4LNCOIQGGX7NIT2MMXWFJJF

not attested not anchored not stored refs pending

Remarks on R\'emond's generalized Lehmer problems

Robert Grizzard

arxiv:1710.11614 v2 · 2017-10-31 · 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{LAZ4LNCOIQGGX7NIT2MMXWFJJF}

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	2026-05-18T00:31:30.540457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5833c5b44e440c6bfda89e98cbd8a94953a8f65007e2318de3aaf4d3a90a98de

Aliases

arxiv: 1710.11614 · arxiv_version: 1710.11614v2 · doi: 10.48550/arxiv.1710.11614 · pith_short_12: LAZ4LNCOIQGG · pith_short_16: LAZ4LNCOIQGGX7NI · pith_short_8: LAZ4LNCO

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/LAZ4LNCOIQGGX7NIT2MMXWFJJF \
  | 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: 5833c5b44e440c6bfda89e98cbd8a94953a8f65007e2318de3aaf4d3a90a98de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3be8fcbeb16f6285b0a993a3840da3bebfa0f6fef9f4c83b7a4afb935425c1d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-31T17:44:18Z",
    "title_canon_sha256": "28cded87d3e2be7d4d1e37e3623994c6a4aa61b7ef8052817d0d33eb46bf2241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11614",
    "kind": "arxiv",
    "version": 2
  }
}