Pith Number

pith:L4ZK2X55

pith:2011:L4ZK2X55OAFZVIJHYJIRBAILO4

not attested not anchored not stored refs pending

On Special Subvarieties of Kuga Varieties

K. Chen

arxiv:1111.5299 v4 · 2011-11-22 · 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{L4ZK2X55OAFZVIJHYJIRBAILO4}

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	2026-05-18T03:45:31.875127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f32ad5fbd700b9aa127c25110810b7710cf80028ab2deba950ba364d86f0912

Aliases

arxiv: 1111.5299 · arxiv_version: 1111.5299v4 · doi: 10.48550/arxiv.1111.5299 · pith_short_12: L4ZK2X55OAFZ · pith_short_16: L4ZK2X55OAFZVIJH · pith_short_8: L4ZK2X55

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/L4ZK2X55OAFZVIJHYJIRBAILO4 \
  | 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: 5f32ad5fbd700b9aa127c25110810b7710cf80028ab2deba950ba364d86f0912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "491f1a94deb06c7e790da96ee4f78a03c3c51a4cd6be9be3d2a2157a3835a817",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-22T19:37:02Z",
    "title_canon_sha256": "ff44429a14b792286a1d3730de40f482afd6a2f1126a5c0dc9f15e71b92fa7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5299",
    "kind": "arxiv",
    "version": 4
  }
}