Pith Number

pith:BVFS7YCK

pith:2011:BVFS7YCKMBVQOHLK2QYQRRQXPM

not attested not anchored not stored refs pending

EL-Shellability and Noncrossing Partitions Associated with Well-Generated Complex Reflection Groups

Henri M\"uhle

arxiv:1111.7172 v5 · 2011-11-30 · 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{BVFS7YCKMBVQOHLK2QYQRRQXPM}

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	2026-05-18T01:10:33.876768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d4b2fe04a606b071d6ad43108c6177b260c5b4132b0a9076b8ee88de9ff085f

Aliases

arxiv: 1111.7172 · arxiv_version: 1111.7172v5 · doi: 10.48550/arxiv.1111.7172 · pith_short_12: BVFS7YCKMBVQ · pith_short_16: BVFS7YCKMBVQOHLK · pith_short_8: BVFS7YCK

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/BVFS7YCKMBVQOHLK2QYQRRQXPM \
  | 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: 0d4b2fe04a606b071d6ad43108c6177b260c5b4132b0a9076b8ee88de9ff085f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318c1cd1fb2524483d41c0dd13e1ffd0d0e7e6af9e7ea3400cebfadd918c2752",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-30T14:13:07Z",
    "title_canon_sha256": "2421eec60401d34e9ee63e63035fc6d7a7076de02e74b054cbd97779bf54a216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7172",
    "kind": "arxiv",
    "version": 5
  }
}