Pith Number

pith:QGBI3CDU

pith:2026:QGBI3CDU554WLFHJBYSFRYDWY2

not attested not anchored not stored refs pending

Divided powers on abelian varieties

Bruno Kahn

arxiv:2602.11135 v2 · 2026-02-11 · 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{QGBI3CDU554WLFHJBYSFRYDWY2}

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	2026-06-09T02:08:38.995605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81828d8874ef796594e90e2458e076c696ac9d94b583790432625bc3ce329cbd

Aliases

arxiv: 2602.11135 · arxiv_version: 2602.11135v2 · doi: 10.48550/arxiv.2602.11135 · pith_short_12: QGBI3CDU554W · pith_short_16: QGBI3CDU554WLFHJ · pith_short_8: QGBI3CDU

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/QGBI3CDU554WLFHJBYSFRYDWY2 \
  | 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: 81828d8874ef796594e90e2458e076c696ac9d94b583790432625bc3ce329cbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01f0fd1eaaea74dd0ca634404a07de30aabe67f495aa830a4c92edb1567714e7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-02-11T18:46:50Z",
    "title_canon_sha256": "2c9aec7bd9cc0e7eee0639eefcff900884a326f2c2d08ef8b4ff7dfdae4f2eae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.11135",
    "kind": "arxiv",
    "version": 2
  }
}