Pith Number

pith:FZ6FSLQJ

pith:2010:FZ6FSLQJNUXNANX2FMERS5AF3P

not attested not anchored not stored refs pending

Toward Dirichlet's unit theorem on arithmetic varieties

Atsushi Moriwaki

arxiv:1010.1599 v4 · 2010-10-08 · math.AG · 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{FZ6FSLQJNUXNANX2FMERS5AF3P}

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	2026-05-18T02:29:30.257409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7c592e096d2ed036fa2b09197405dbc3aedbeebf401a6215c58437a1aae5d7

Aliases

arxiv: 1010.1599 · arxiv_version: 1010.1599v4 · doi: 10.48550/arxiv.1010.1599 · pith_short_12: FZ6FSLQJNUXN · pith_short_16: FZ6FSLQJNUXNANX2 · pith_short_8: FZ6FSLQJ

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/FZ6FSLQJNUXNANX2FMERS5AF3P \
  | 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: 2e7c592e096d2ed036fa2b09197405dbc3aedbeebf401a6215c58437a1aae5d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b81092a028b0183267add5ec93406957ebcb25ce060bed70d59a6419492f2c04",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-08T06:01:16Z",
    "title_canon_sha256": "54c5638e581e608e188240c788edec43e326bbabc25b6c7d405a997aac97f09e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1599",
    "kind": "arxiv",
    "version": 4
  }
}