Pith Number

pith:LVL7TQJR

pith:2021:LVL7TQJRMTNMMEAHXGPCNSH7TL

not attested not anchored not stored refs pending

Graded sets, graded groups, and Clifford algebras

Wolfgang Bertram (IECL)

arxiv:2109.00878 v1 · 2021-09-02 · math.CT · 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{LVL7TQJRMTNMMEAHXGPCNSH7TL}

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.

Cited by

1 paper in Pith

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory

Receipt and verification

First computed	2026-07-05T03:10:59.188678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d57f9c13164dac61007b99e26c8ff9aefd9c1c9c5da92266572a993c9b22ad0

Aliases

arxiv: 2109.00878 · arxiv_version: 2109.00878v1 · doi: 10.48550/arxiv.2109.00878 · pith_short_12: LVL7TQJRMTNM · pith_short_16: LVL7TQJRMTNMMEAH · pith_short_8: LVL7TQJR

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/LVL7TQJRMTNMMEAHXGPCNSH7TL \
  | 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: 5d57f9c13164dac61007b99e26c8ff9aefd9c1c9c5da92266572a993c9b22ad0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab14d840cfd25b76c9c3d6a84d8cb710b56416606b5a8c8cf546c24281cc29f4",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-09-02T12:41:12Z",
    "title_canon_sha256": "ce5482c9bad3b5fe0d728949e55df67c535172e8fe37c80e83713e054052923c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.00878",
    "kind": "arxiv",
    "version": 1
  }
}