Pith Number

pith:NC3B3YNW

pith:2018:NC3B3YNWFOMU6OK4RG6Z4NM6RW

not attested not anchored not stored refs pending

Subgroups of Division Rings

Mark Lewis, Murray Schacher

arxiv:1806.09654 v1 · 2018-06-25 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NC3B3YNWFOMU6OK4RG6Z4NM6RW}

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	2026-05-18T00:12:23.828675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b61de1b62b994f395c89bd9e359e8da18775a1e926a98569dba4f7c32ca890

Aliases

arxiv: 1806.09654 · arxiv_version: 1806.09654v1 · doi: 10.48550/arxiv.1806.09654 · pith_short_12: NC3B3YNWFOMU · pith_short_16: NC3B3YNWFOMU6OK4 · pith_short_8: NC3B3YNW

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/NC3B3YNWFOMU6OK4RG6Z4NM6RW \
  | 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: 68b61de1b62b994f395c89bd9e359e8da18775a1e926a98569dba4f7c32ca890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d02e9c6d0d3b360c31277d7e65e41d4ebecb8dd89e933d80971a09e3f8d81a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-06-25T18:31:03Z",
    "title_canon_sha256": "48c851f9b0bc36489e7ea166a92244c8d1707694f92b8879e620f74936c66176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09654",
    "kind": "arxiv",
    "version": 1
  }
}