Pith Number

pith:PNQEKN73

pith:2015:PNQEKN73AJECBOPPBLK6STGCN2

not attested not anchored not stored refs pending

On inversion sets and the weak order in Coxeter groups

Christophe Hohlweg, Jean-Philippe Labb\'e

arxiv:1502.06926 v3 · 2015-02-24 · math.GR · 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{PNQEKN73AJECBOPPBLK6STGCN2}

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	2026-05-18T01:15:23.751673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b604537fb024820b9ef0ad5e94cc26ebab998b1a60e4369023c678c6f8fc311

Aliases

arxiv: 1502.06926 · arxiv_version: 1502.06926v3 · doi: 10.48550/arxiv.1502.06926 · pith_short_12: PNQEKN73AJEC · pith_short_16: PNQEKN73AJECBOPP · pith_short_8: PNQEKN73

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/PNQEKN73AJECBOPPBLK6STGCN2 \
  | 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: 7b604537fb024820b9ef0ad5e94cc26ebab998b1a60e4369023c678c6f8fc311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0a08b9964c00fe0d238c11a3bc957d1fad8f8a7159ead720a53f9627aed07c9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-02-24T19:51:45Z",
    "title_canon_sha256": "3e4f266fcf0bd9eecd3a10be1a94dde8efd699752d15385d38836ccf3fed2015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06926",
    "kind": "arxiv",
    "version": 3
  }
}