Pith Number

pith:V5N3U5ZC

pith:2013:V5N3U5ZCBDFR6SXRZSQ6TJFT23

not attested not anchored not stored refs pending

Toward a geometric analogue of Dirichlet's unit theorem

Atsushi Moriwaki

arxiv:1311.6307 v6 · 2013-11-25 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5N3U5ZCBDFR6SXRZSQ6TJFT23}

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	2026-05-18T01:21:05.550174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af5bba772208cb1f4af1cca1e9a4b3d6c0e1af544142d1661085abbecf144e4f

Aliases

arxiv: 1311.6307 · arxiv_version: 1311.6307v6 · doi: 10.48550/arxiv.1311.6307 · pith_short_12: V5N3U5ZCBDFR · pith_short_16: V5N3U5ZCBDFR6SXR · pith_short_8: V5N3U5ZC

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/V5N3U5ZCBDFR6SXRZSQ6TJFT23 \
  | 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: af5bba772208cb1f4af1cca1e9a4b3d6c0e1af544142d1661085abbecf144e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec1edea3434cf88bf5cef8b86426c3c9338016b2a4a91e7d4effe966455f9c76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-25T14:04:21Z",
    "title_canon_sha256": "ba9b55d732f34fcc1a895b4897a542231c9c5f5c31b03ffd6fe497d20ab24e5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6307",
    "kind": "arxiv",
    "version": 6
  }
}