Pith Number

pith:LVOI4MG7

pith:2012:LVOI4MG7UJDHFDXUY36WPBMAX2

not attested not anchored not stored refs pending

A generalization of Dirichlet's unit theorem

Paul Fili, Zachary Miner

arxiv:1210.7884 v1 · 2012-10-30 · 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{LVOI4MG7UJDHFDXUY36WPBMAX2}

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	2026-05-18T03:41:57.829694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d5c8e30dfa246728ef4c6fd678580be8f6b79d16242fad34da4a2a3dc6b563c

Aliases

arxiv: 1210.7884 · arxiv_version: 1210.7884v1 · doi: 10.48550/arxiv.1210.7884 · pith_short_12: LVOI4MG7UJDH · pith_short_16: LVOI4MG7UJDHFDXU · pith_short_8: LVOI4MG7

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/LVOI4MG7UJDHFDXUY36WPBMAX2 \
  | 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: 5d5c8e30dfa246728ef4c6fd678580be8f6b79d16242fad34da4a2a3dc6b563c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ecad7776c2da3f8f731478de9e350629efe4bd445ce513c7f5cbd3f38be8ae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-30T01:59:58Z",
    "title_canon_sha256": "00dcdb81a84dd7a856052ad7b3400d119a69723f52772cce394c2c6ca4fd2755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7884",
    "kind": "arxiv",
    "version": 1
  }
}