Pith Number

pith:4MZ6BETK

pith:2013:4MZ6BETKUASB5YI77B6WWNAFRM

not attested not anchored not stored refs pending

Adelic divisors on arithmetic varieties

Atsushi Moriwaki

arxiv:1302.1922 v2 · 2013-02-08 · 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{4MZ6BETKUASB5YI77B6WWNAFRM}

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	2026-05-18T03:30:40.900789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e333e0926aa0241ee11ff87d6b34058b113534fda2684d4aab8b80d4ce5b6db6

Aliases

arxiv: 1302.1922 · arxiv_version: 1302.1922v2 · doi: 10.48550/arxiv.1302.1922 · pith_short_12: 4MZ6BETKUASB · pith_short_16: 4MZ6BETKUASB5YI7 · pith_short_8: 4MZ6BETK

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/4MZ6BETKUASB5YI77B6WWNAFRM \
  | 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: e333e0926aa0241ee11ff87d6b34058b113534fda2684d4aab8b80d4ce5b6db6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ddb4349a936bdae78a4632a90c1e7da6d64881c67bf77c56a9cad7edb5ad27d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-08T01:21:21Z",
    "title_canon_sha256": "342ad3e883bfa05be79452510db0fb59248e030b8f844eec507d8de01b45db75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1922",
    "kind": "arxiv",
    "version": 2
  }
}