Pith Number

pith:ZOXFCWEV

pith:2016:ZOXFCWEVJK4RSZURXQVGIWMG23

not attested not anchored not stored refs pending

The first-order theory of $\ell$-permutation groups

A. M. W. Glass, John S. Wilson

arxiv:1606.00312 v1 · 2016-06-01 · 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{ZOXFCWEVJK4RSZURXQVGIWMG23}

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	2026-05-18T01:13:05.545471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbae5158954ab9196691bc2a645986d6c94bb15107319e427c2adeda8b2016cd

Aliases

arxiv: 1606.00312 · arxiv_version: 1606.00312v1 · doi: 10.48550/arxiv.1606.00312 · pith_short_12: ZOXFCWEVJK4R · pith_short_16: ZOXFCWEVJK4RSZUR · pith_short_8: ZOXFCWEV

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/ZOXFCWEVJK4RSZURXQVGIWMG23 \
  | 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: cbae5158954ab9196691bc2a645986d6c94bb15107319e427c2adeda8b2016cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f4ec1394381d9060cfeaebaa51ab7ae83cd740cad4f61ce2c763d6eca9a6420",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-01T14:46:23Z",
    "title_canon_sha256": "736414c8d7517fa2b0e89cc51aaaf9ce6a325dc0b0539a1df828b11e5920f828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00312",
    "kind": "arxiv",
    "version": 1
  }
}