Pith Number

pith:IR6LF7RT

pith:2015:IR6LF7RT44AL6N63JEGPZQ7DD5

not attested not anchored not stored refs pending

$p$-kernels occurring in an isogeny class of $p$-divisible groups

Paul Ziegler

arxiv:1508.03258 v2 · 2015-08-13 · math.NT · 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{IR6LF7RT44AL6N63JEGPZQ7DD5}

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	2026-05-18T00:28:47.270699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

447cb2fe33e700bf37db490cfcc3e31f6d3adc92b3813f53dde126ef0b083de8

Aliases

arxiv: 1508.03258 · arxiv_version: 1508.03258v2 · doi: 10.48550/arxiv.1508.03258 · pith_short_12: IR6LF7RT44AL · pith_short_16: IR6LF7RT44AL6N63 · pith_short_8: IR6LF7RT

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/IR6LF7RT44AL6N63JEGPZQ7DD5 \
  | 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: 447cb2fe33e700bf37db490cfcc3e31f6d3adc92b3813f53dde126ef0b083de8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0279c93d6545335510197264224f3d67ab6230398a596abfa20d045ff0589e3e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-13T16:16:41Z",
    "title_canon_sha256": "0c7d67b3fa91b2b6cc82d5c13ccab6686722d4f267f94ea25f0fc8b4965e6b5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03258",
    "kind": "arxiv",
    "version": 2
  }
}