Pith Number

pith:7SOMO52I

pith:2017:7SOMO52IRK6G452O2WDXZISDOT

not attested not anchored not stored refs pending

Outer automorphism groups of right-angled Coxeter groups are either large or virtually abelian

Andrew Sale, Tim Susse

arxiv:1706.07873 v1 · 2017-06-23 · 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{7SOMO52IRK6G452O2WDXZISDOT}

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	2026-05-18T00:41:47.325880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc9cc777488abc6e774ed5877ca24374cd4819bda3a2e4d41fe332337a653a6d

Aliases

arxiv: 1706.07873 · arxiv_version: 1706.07873v1 · doi: 10.48550/arxiv.1706.07873 · pith_short_12: 7SOMO52IRK6G · pith_short_16: 7SOMO52IRK6G452O · pith_short_8: 7SOMO52I

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/7SOMO52IRK6G452O2WDXZISDOT \
  | 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: fc9cc777488abc6e774ed5877ca24374cd4819bda3a2e4d41fe332337a653a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26e659d9410ae1df74eb7371758ba17048d8b0d7693dc3d009b40d99c9c3c5a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-23T21:38:54Z",
    "title_canon_sha256": "028283029bef1999bb16b026843542a65e8e74e3db213b4657154560e5f63a66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07873",
    "kind": "arxiv",
    "version": 1
  }
}