Pith Number

pith:V7AMM5Z6

pith:2011:V7AMM5Z6NTOT7G6UKTFUZF6D3P

not attested not anchored not stored refs pending

Normalizers of Parabolic Subgroups of Coxeter Groups

Daniel Allcock

arxiv:1105.0253 v1 · 2011-05-02 · 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{V7AMM5Z6NTOT7G6UKTFUZF6D3P}

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	2026-05-18T02:41:50.511108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc0c6773e6cdd3f9bd454cb4c97c3dbe8a27f2bef128dbd5cf47a22ddcb834f

Aliases

arxiv: 1105.0253 · arxiv_version: 1105.0253v1 · doi: 10.48550/arxiv.1105.0253 · pith_short_12: V7AMM5Z6NTOT · pith_short_16: V7AMM5Z6NTOT7G6U · pith_short_8: V7AMM5Z6

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/V7AMM5Z6NTOT7G6UKTFUZF6D3P \
  | 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: afc0c6773e6cdd3f9bd454cb4c97c3dbe8a27f2bef128dbd5cf47a22ddcb834f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "383767b3ab3f621df53725d1706c909876fffe5734dc2c3a2b54e43794c3bb52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-02T07:27:53Z",
    "title_canon_sha256": "da340a9db2558f152b4073ab016b802ed1104e2068fe4c5e843e21f9dbf51c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0253",
    "kind": "arxiv",
    "version": 1
  }
}