Pith Number

pith:FW7HBOHO

pith:1999:FW7HBOHORXH5JCNEOWZUPR5533

not attested not anchored not stored refs pending

Simply-laced Coxeter groups and groups generated by symplectic transvections

Alek Vainshtein (University of Haifa), Andrei Zelevinsky (Northeastern University), Boris Shapiro (University of Stockholm), Michael Shapiro (Royal Institute of Technology)

arxiv:math/9906203 v1 · 1999-06-29 · math.AG · math.CO · 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{FW7HBOHORXH5JCNEOWZUPR5533}

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	2026-07-04T14:41:12.821103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dbe70b8ee8dcfd489a475b347c7bddedf63fc5d5371ad87b661ad7913905896

Aliases

arxiv: math/9906203 · arxiv_version: math/9906203v1 · doi: 10.48550/arxiv.math/9906203 · pith_short_12: FW7HBOHORXH5 · pith_short_16: FW7HBOHORXH5JCNE · pith_short_8: FW7HBOHO

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/FW7HBOHORXH5JCNEOWZUPR5533 \
  | 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: 2dbe70b8ee8dcfd489a475b347c7bddedf63fc5d5371ad87b661ad7913905896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a15decbcfab90a08fa1d3705d8db9cd767bd8a56e7539e32357c122797afd129",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-06-29T15:03:50Z",
    "title_canon_sha256": "d9e80cc87e1e40a86e10706ddbea3cad501ac96f721e619f35fc1370f30c1f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9906203",
    "kind": "arxiv",
    "version": 1
  }
}