Pith Number

pith:TI7VWEAZ

pith:2011:TI7VWEAZ7E7RTI4UXDFB5DR4H2

not attested not anchored not stored refs pending

$G$-algebras, group graded algebras, and Clifford extensions of blocks

Tiberiu Coconet

arxiv:1112.0135 v1 · 2011-12-01 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TI7VWEAZ7E7RTI4UXDFB5DR4H2}

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	2026-05-18T04:07:16.836729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a3f5b1019f93f19a394b8ca1e8e3c3e9887378265808d8eabf7adf27c0a4779

Aliases

arxiv: 1112.0135 · arxiv_version: 1112.0135v1 · doi: 10.48550/arxiv.1112.0135 · pith_short_12: TI7VWEAZ7E7R · pith_short_16: TI7VWEAZ7E7RTI4U · pith_short_8: TI7VWEAZ

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/TI7VWEAZ7E7RTI4UXDFB5DR4H2 \
  | 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: 9a3f5b1019f93f19a394b8ca1e8e3c3e9887378265808d8eabf7adf27c0a4779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c35de47c4365a9436083e91d5097b08c3a8320b038d3023aed760ebb11ac2c81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-01T10:54:58Z",
    "title_canon_sha256": "d1b561d66cd00b5b80e56edde6ebbb67a9524cdf7774c41cf2862e3cb89fe1c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0135",
    "kind": "arxiv",
    "version": 1
  }
}