Pith Number

pith:4JZQVIXF

pith:2015:4JZQVIXFND3MGYKRX2DWPRM5JP

not attested not anchored not stored refs pending

Non-elementary amenable subgroups of automata groups

Kate Juschenko

arxiv:1504.00610 v1 · 2015-04-02 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JZQVIXFND3MGYKRX2DWPRM5JP}

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	2026-05-18T02:19:43.008480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2730aa2e568f6c36151be8767c59d4bfe83536b9914eade32d4a3375e678799

Aliases

arxiv: 1504.00610 · arxiv_version: 1504.00610v1 · doi: 10.48550/arxiv.1504.00610 · pith_short_12: 4JZQVIXFND3M · pith_short_16: 4JZQVIXFND3MGYKR · pith_short_8: 4JZQVIXF

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/4JZQVIXFND3MGYKRX2DWPRM5JP \
  | 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: e2730aa2e568f6c36151be8767c59d4bfe83536b9914eade32d4a3375e678799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164c422f091361c00767e70bd465e03425bdf50e5073f5681a16bdd9f466676f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-02T16:36:19Z",
    "title_canon_sha256": "4b22c624b1471b30159f6cb4a310e844a473274488b5b523dc4e8308999d8c64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00610",
    "kind": "arxiv",
    "version": 1
  }
}