Pith Number

pith:CMT4WRDZ

pith:2018:CMT4WRDZC32SQFC4ATQ652IW4M

not attested not anchored not stored refs pending

A Generalization of the Hughes Subgroup

Mario Sracic, Mark L. Lewis

arxiv:1809.07564 v2 · 2018-09-20 · 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{CMT4WRDZC32SQFC4ATQ652IW4M}

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	2026-05-17T23:52:15.547689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1327cb447916f528145c04e1eee916e30415b6e2ae87c85f9caf9569ab05813e

Aliases

arxiv: 1809.07564 · arxiv_version: 1809.07564v2 · doi: 10.48550/arxiv.1809.07564 · pith_short_12: CMT4WRDZC32S · pith_short_16: CMT4WRDZC32SQFC4 · pith_short_8: CMT4WRDZ

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/CMT4WRDZC32SQFC4ATQ652IW4M \
  | 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: 1327cb447916f528145c04e1eee916e30415b6e2ae87c85f9caf9569ab05813e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6a5e9ebf381c3634f190868d4e9dfe635a9e0f5acd37f4ba90947a639cc18a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-09-20T10:48:13Z",
    "title_canon_sha256": "26981fbd55e17806506d6a30cc7ab51f95c4283906bccc0c632e886500c376cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07564",
    "kind": "arxiv",
    "version": 2
  }
}