Pith Number

pith:Y6QQKGFC

pith:2011:Y6QQKGFCR253ETLMS7ILKMPXZE

not attested not anchored not stored refs pending

Reflection centralizers in Coxeter groups

Daniel Allcock

arxiv:1106.3822 v2 · 2011-06-20 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6QQKGFCR253ETLMS7ILKMPXZE}

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	2026-05-18T03:19:46.353411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a10518a28ebbb24d6c97d0b531f7c9197d44ad06e33c6f2bc5492b9669c5dd

Aliases

arxiv: 1106.3822 · arxiv_version: 1106.3822v2 · doi: 10.48550/arxiv.1106.3822 · pith_short_12: Y6QQKGFCR253 · pith_short_16: Y6QQKGFCR253ETLM · pith_short_8: Y6QQKGFC

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/Y6QQKGFCR253ETLMS7ILKMPXZE \
  | 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: c7a10518a28ebbb24d6c97d0b531f7c9197d44ad06e33c6f2bc5492b9669c5dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "655b7003cb08eba31eb25b1fbf85940eaab6a9d68aed5d079a086118b497ca30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-06-20T06:29:52Z",
    "title_canon_sha256": "32837855091bbbf59f4c4d8bbbf8d9128a7f5aa21b9c6774c657f336da08dbc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3822",
    "kind": "arxiv",
    "version": 2
  }
}