Pith Number

pith:ZIXTHMA3

pith:2006:ZIXTHMA3WAPZMMBG7MXPSIUZHK

not attested not anchored not stored refs pending

A classification of subsystems of a root system

Toshio Oshima

arxiv:math/0611904 v4 · 2006-11-29 · math.RT · 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{ZIXTHMA3WAPZMMBG7MXPSIUZHK}

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.

Cited by

1 paper in Pith

G\"opel Varieties

Receipt and verification

First computed	2026-07-04T15:02:13.795625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca2f33b01bb01f963026fb2ef922993aaa4f3ed1a4e2ca6698f02e729d8f5252

Aliases

arxiv: math/0611904 · arxiv_version: math/0611904v4 · doi: 10.48550/arxiv.math/0611904 · pith_short_12: ZIXTHMA3WAPZ · pith_short_16: ZIXTHMA3WAPZMMBG · pith_short_8: ZIXTHMA3

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/ZIXTHMA3WAPZMMBG7MXPSIUZHK \
  | 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: ca2f33b01bb01f963026fb2ef922993aaa4f3ed1a4e2ca6698f02e729d8f5252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "237dd9cd46ed69e51d67674f09b32d2ca18e3a9f2941c79568befff9c52f4d7d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-11-29T10:02:03Z",
    "title_canon_sha256": "b10a33be25ef12d6253a4ef553f6c30eccec7aafe09564804621728f9a92d1b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611904",
    "kind": "arxiv",
    "version": 4
  }
}