Pith Number

pith:MWARXIYP

pith:2016:MWARXIYPECY4VPC725K4PNRUNX

not attested not anchored not stored refs pending

Finite subgroups of simple algebraic groups with irreducible centralizers

Adam R. Thomas, Martin W. Liebeck

arxiv:1606.03064 v1 · 2016-06-09 · 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{MWARXIYPECY4VPC725K4PNRUNX}

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	2026-05-18T01:12:38.386561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65811ba30f20b1cabc5fd755c7b6346de7e1c6a4f87fa23bb26db771bb3115db

Aliases

arxiv: 1606.03064 · arxiv_version: 1606.03064v1 · doi: 10.48550/arxiv.1606.03064 · pith_short_12: MWARXIYPECY4 · pith_short_16: MWARXIYPECY4VPC7 · pith_short_8: MWARXIYP

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/MWARXIYPECY4VPC725K4PNRUNX \
  | 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: 65811ba30f20b1cabc5fd755c7b6346de7e1c6a4f87fa23bb26db771bb3115db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "747a1efaf1dc292b514e1f2df7bf97dfc32ae29723ec7303aa2af77aaa829be5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-09T18:57:16Z",
    "title_canon_sha256": "fe8d81fe38709b4b88369c2ca8e374a5c4bbc78e0c39deb0ad007b27b961d519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03064",
    "kind": "arxiv",
    "version": 1
  }
}