Pith Number

pith:EJWKE2XP

pith:2012:EJWKE2XPLEWRGM73YXOGDUDQ27

not attested not anchored not stored refs pending

The freeness conjecture for Hecke algebras of complex reflection groups, and the case of the Hessian group G26

Ivan Marin

arxiv:1210.5632 v2 · 2012-10-20 · 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{EJWKE2XPLEWRGM73YXOGDUDQ27}

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	2026-05-18T03:39:27.989377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

226ca26aef592d1333fbc5dc61d070d7cc0ddfe3548c0a2314ab7435bfb088ca

Aliases

arxiv: 1210.5632 · arxiv_version: 1210.5632v2 · doi: 10.48550/arxiv.1210.5632 · pith_short_12: EJWKE2XPLEWR · pith_short_16: EJWKE2XPLEWRGM73 · pith_short_8: EJWKE2XP

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/EJWKE2XPLEWRGM73YXOGDUDQ27 \
  | 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: 226ca26aef592d1333fbc5dc61d070d7cc0ddfe3548c0a2314ab7435bfb088ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30879a5098d9626a27c77ca82c7f28b519f5a7d98aeba7bf82d9ac11da7f28d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-20T14:41:31Z",
    "title_canon_sha256": "8f41d6f50925634e3890ae58d4a3c36b12be4d779a1f06e167fb28d9e98e67f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5632",
    "kind": "arxiv",
    "version": 2
  }
}