Pith Number

pith:4F5SUYMH

pith:2014:4F5SUYMHQ37DTYTMEZ4YKOUWUU

not attested not anchored not stored refs pending

Groups of Morley rank 4

Joshua Wiscons

arxiv:1401.2373 v3 · 2014-01-10 · math.LO · 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{4F5SUYMHQ37DTYTMEZ4YKOUWUU}

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	2026-05-18T02:32:54.244083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17b2a618786fe39e26c2679853a96a537fe3fce7b59e694a3d08a299f2744e6

Aliases

arxiv: 1401.2373 · arxiv_version: 1401.2373v3 · doi: 10.48550/arxiv.1401.2373 · pith_short_12: 4F5SUYMHQ37D · pith_short_16: 4F5SUYMHQ37DTYTM · pith_short_8: 4F5SUYMH

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/4F5SUYMHQ37DTYTMEZ4YKOUWUU \
  | 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: e17b2a618786fe39e26c2679853a96a537fe3fce7b59e694a3d08a299f2744e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ae62aefefad120d1e42d8e303316db8eb8f601a244b4fb54e35df9fa0b72da",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-01-10T15:27:18Z",
    "title_canon_sha256": "29ab064d8d0d07bc6e67ac317bbcb4ee05d6b232aa72abdf64c521e72f73ab63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2373",
    "kind": "arxiv",
    "version": 3
  }
}