Pith Number

pith:QXVYBX3K

pith:2009:QXVYBX3K7SJVUIZUH2XT56X5DN

not attested not anchored not stored refs pending

Albanese varieties with modulus over a perfect field

Henrik Russell

arxiv:0902.2533 v3 · 2009-02-15 · 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{QXVYBX3K7SJVUIZUH2XT56X5DN}

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	2026-05-18T03:11:10.063211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85eb80df6afc935a23343eaf3efafd1b79dc7edbcf6b7a13c501323b81d20090

Aliases

arxiv: 0902.2533 · arxiv_version: 0902.2533v3 · doi: 10.48550/arxiv.0902.2533 · pith_short_12: QXVYBX3K7SJV · pith_short_16: QXVYBX3K7SJVUIZU · pith_short_8: QXVYBX3K

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/QXVYBX3K7SJVUIZUH2XT56X5DN \
  | 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: 85eb80df6afc935a23343eaf3efafd1b79dc7edbcf6b7a13c501323b81d20090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7b5748bb8438e3e5abe8825a0d685ac60820a2c918414147989329a1dadc7b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-15T09:29:09Z",
    "title_canon_sha256": "413d81bc30317a2f43abb2c1e8f1a8b4448fb03e4c692c625c0bdceb14819a3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2533",
    "kind": "arxiv",
    "version": 3
  }
}