Pith Number

pith:ZZ6RKADZ

pith:2011:ZZ6RKADZQF5ZJMOJWRRDFSBNZO

not attested not anchored not stored refs pending

An inclusion result for dagger closure in certain section rings of abelian varieties

Axel St\"abler

arxiv:1104.5365 v2 · 2011-04-28 · math.AC · 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{ZZ6RKADZQF5ZJMOJWRRDFSBNZO}

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	2026-05-18T03:32:05.990970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce7d150079817b94b1c9b46232c82dcb98b59f8e6ef0b387dfc451ba3f5b0fb5

Aliases

arxiv: 1104.5365 · arxiv_version: 1104.5365v2 · doi: 10.48550/arxiv.1104.5365 · pith_short_12: ZZ6RKADZQF5Z · pith_short_16: ZZ6RKADZQF5ZJMOJ · pith_short_8: ZZ6RKADZ

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/ZZ6RKADZQF5ZJMOJWRRDFSBNZO \
  | 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: ce7d150079817b94b1c9b46232c82dcb98b59f8e6ef0b387dfc451ba3f5b0fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab3cd2d7474eb104afaca1dda21fa10d2fe782a6430fd79566d0d01285b7294",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-04-28T12:07:11Z",
    "title_canon_sha256": "3b3d9076c5f330d2535e0828fc408af9d184b61bde8e04a630e59f1131cea341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5365",
    "kind": "arxiv",
    "version": 2
  }
}