Pith Number

pith:3ICTDGWY

pith:2011:3ICTDGWYWL2DN3ARDN4Q27SS7J

not attested not anchored not stored refs pending

Co-quasi-invariant spaces for finite complex reflection groups

Fran\c{c}ois Bergeron (LaCIM), Jean-Christophe Aval (LaBRI)

arxiv:1107.0537 v2 · 2011-07-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ICTDGWYWL2DN3ARDN4Q27SS7J}

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	2026-05-18T04:10:58.498451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da05319ad8b2f436ec111b790d7e52fa572bad07e7c24da7e560e1552dbc8862

Aliases

arxiv: 1107.0537 · arxiv_version: 1107.0537v2 · doi: 10.48550/arxiv.1107.0537 · pith_short_12: 3ICTDGWYWL2D · pith_short_16: 3ICTDGWYWL2DN3AR · pith_short_8: 3ICTDGWY

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/3ICTDGWYWL2DN3ARDN4Q27SS7J \
  | 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: da05319ad8b2f436ec111b790d7e52fa572bad07e7c24da7e560e1552dbc8862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ac1a5890bfd0c6fc5da80e7013439d13e88c3c1a47431bf1c2fd54e2cc2807",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-04T06:11:42Z",
    "title_canon_sha256": "26a16323c8781b3cb0d0484e385e98aeb778c2bba5d38cbf5a8e5494c5659015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0537",
    "kind": "arxiv",
    "version": 2
  }
}