Pith Number

pith:TGKCOYHV

pith:2010:TGKCOYHVSJ4GM4NODJXTC4AMKS

not attested not anchored not stored refs pending

On simple endotrivial modules

Geoffrey R. Robinson

arxiv:1007.4963 v3 · 2010-07-28 · math.RT · 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{TGKCOYHVSJ4GM4NODJXTC4AMKS}

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	2026-05-18T02:58:01.982660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99942760f592786671ae1a6f31700c5484f81b804fabb4225c9ab8bc74442875

Aliases

arxiv: 1007.4963 · arxiv_version: 1007.4963v3 · doi: 10.48550/arxiv.1007.4963 · pith_short_12: TGKCOYHVSJ4G · pith_short_16: TGKCOYHVSJ4GM4NO · pith_short_8: TGKCOYHV

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/TGKCOYHVSJ4GM4NODJXTC4AMKS \
  | 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: 99942760f592786671ae1a6f31700c5484f81b804fabb4225c9ab8bc74442875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acb16bd1d3468d000584267e4c18c6683e5e56a94dd3cadaf33521683addf9ef",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-07-28T13:31:38Z",
    "title_canon_sha256": "e76be11e9d2ed344a3eeb918db1684d598388164b47f7d6d9465f789d2dc0c7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4963",
    "kind": "arxiv",
    "version": 3
  }
}