Pith Number

pith:36GRMSR3

pith:2018:36GRMSR3U2UQXL53PROUDLEY6A

not attested not anchored not stored refs pending

Canonical bases of invariant polynomials for the irreducible reflection groups of types $E_6$, $E_7$, and $E_8$

Vittorino Talamini

arxiv:1808.01966 v1 · 2018-08-06 · math.GR · 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{36GRMSR3U2UQXL53PROUDLEY6A}

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	2026-05-18T00:08:49.031139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df8d164a3ba6a90bafbb7c5d41ac98f0185db0ad914364167a5a8abd482c7636

Aliases

arxiv: 1808.01966 · arxiv_version: 1808.01966v1 · doi: 10.48550/arxiv.1808.01966 · pith_short_12: 36GRMSR3U2UQ · pith_short_16: 36GRMSR3U2UQXL53 · pith_short_8: 36GRMSR3

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/36GRMSR3U2UQXL53PROUDLEY6A \
  | 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: df8d164a3ba6a90bafbb7c5d41ac98f0185db0ad914364167a5a8abd482c7636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5275e4d3a7ba8650e7b642d3fe0b35d8cdcd9af6c11cefa192099bee85474530",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-06T15:26:11Z",
    "title_canon_sha256": "945628e2e718404a61ce0c57f963fab911509bbc177c370dd43c074fea27c7ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01966",
    "kind": "arxiv",
    "version": 1
  }
}