Pith Number

pith:K7JT4QU2

pith:2016:K7JT4QU2NY52K35ZV674FEIUWN

not attested not anchored not stored refs pending

Groups with a nontrivial nonideal kernel

Frieder Ladisch

arxiv:1608.00231 v4 · 2016-07-31 · math.GR · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7JT4QU2NY52K35ZV674FEIUWN}

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	2026-05-17T23:45:47.111762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d33e429a6e3ba56fb9afbfc29114b3530a562213c61ed993fa16cac0ba785e

Aliases

arxiv: 1608.00231 · arxiv_version: 1608.00231v4 · doi: 10.48550/arxiv.1608.00231 · pith_short_12: K7JT4QU2NY52 · pith_short_16: K7JT4QU2NY52K35Z · pith_short_8: K7JT4QU2

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/K7JT4QU2NY52K35ZV674FEIUWN \
  | 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: 57d33e429a6e3ba56fb9afbfc29114b3530a562213c61ed993fa16cac0ba785e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3ad8d0801a419b7af3839a955e7b203ad32a682bcc515497dc51d243dc09a9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-07-31T15:26:25Z",
    "title_canon_sha256": "125693c09abdf1833d4af3722f6d0d4d2e3f9f443344d26884afe30622e90ab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00231",
    "kind": "arxiv",
    "version": 4
  }
}