Pith Number

pith:BK2PNPXA

pith:2010:BK2PNPXACBJ35C7SQEGHLDRMIU

not attested not anchored not stored refs pending

On rigidity of abstract root systems of Coxeter systems

Matthew Dyer

arxiv:1011.2270 v1 · 2010-11-10 · math.GR · 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{BK2PNPXACBJ35C7SQEGHLDRMIU}

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	2026-05-18T04:36:30.705126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ab4f6bee01053be8bf2810c758e2c4529b6d05cb352682a7d46b8562f30e52b

Aliases

arxiv: 1011.2270 · arxiv_version: 1011.2270v1 · doi: 10.48550/arxiv.1011.2270 · pith_short_12: BK2PNPXACBJ3 · pith_short_16: BK2PNPXACBJ35C7S · pith_short_8: BK2PNPXA

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/BK2PNPXACBJ35C7SQEGHLDRMIU \
  | 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: 0ab4f6bee01053be8bf2810c758e2c4529b6d05cb352682a7d46b8562f30e52b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83a12037f3e2e5dfcaf4ad0ced9ea829fc49c5e44c65c76338c23082ddecf94",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-10T04:00:39Z",
    "title_canon_sha256": "33236f4caeb1ff839faa60d691a25fc06485334bfe2e1a76fe0e58a09e369629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2270",
    "kind": "arxiv",
    "version": 1
  }
}