Pith Number

pith:LTOVBLQA

pith:2020:LTOVBLQAHLXNXWRLZ57XC4NNAT

not attested not anchored not stored refs pending

A Density of Ramified Primes

Christine McMeekin, Djordjo Milovic, Stephanie Chan

arxiv:2005.10188 v2 · 2020-05-20 · 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{LTOVBLQAHLXNXWRLZ57XC4NNAT}

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	2026-07-05T03:39:11.076255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cdd50ae003aeedbda2bcf7f7171ad04ce187effeb1da1e170d90cd0b3155f7e

Aliases

arxiv: 2005.10188 · arxiv_version: 2005.10188v2 · doi: 10.48550/arxiv.2005.10188 · pith_short_12: LTOVBLQAHLXN · pith_short_16: LTOVBLQAHLXNXWRL · pith_short_8: LTOVBLQA

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/LTOVBLQAHLXNXWRLZ57XC4NNAT \
  | 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: 5cdd50ae003aeedbda2bcf7f7171ad04ce187effeb1da1e170d90cd0b3155f7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dba47f61ccfcf74c1bcdda1d9af1ee42308de158308affb86e78816025e6757",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-05-20T16:52:17Z",
    "title_canon_sha256": "830758c613d791538497b70fad9ad9846f393b04774b685895bf4a20596e2e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.10188",
    "kind": "arxiv",
    "version": 2
  }
}