Pith Number

pith:XWMBFQJU

pith:2018:XWMBFQJUBYRFZD7G6G6QTP5NN3

not attested not anchored not stored refs pending

On the Lehmer conjecture and counting in finite fields

Emmanuel Breuillard, P\'eter P. Varj\'u

arxiv:1810.13363 v2 · 2018-10-31 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWMBFQJUBYRFZD7G6G6QTP5NN3}

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	2026-05-17T23:45:52.648259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd9812c1340e225c8fe6f1bd09bfad6ec301f0f0ebd637ff5d6ae362941d3a6b

Aliases

arxiv: 1810.13363 · arxiv_version: 1810.13363v2 · doi: 10.48550/arxiv.1810.13363 · pith_short_12: XWMBFQJUBYRF · pith_short_16: XWMBFQJUBYRFZD7G · pith_short_8: XWMBFQJU

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/XWMBFQJUBYRFZD7G6G6QTP5NN3 \
  | 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: bd9812c1340e225c8fe6f1bd09bfad6ec301f0f0ebd637ff5d6ae362941d3a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "357c47e6261cb01e53d7e2c8bfc541860cdc2e4e17d4d80889d2370a918507f7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-31T16:00:46Z",
    "title_canon_sha256": "154011f1d83b0ecc007373949f801bd935f38d61d692b4036f068ff733db3757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13363",
    "kind": "arxiv",
    "version": 2
  }
}