Pith Number

pith:XAZCEF6R

pith:2017:XAZCEF6RN3VEQFG4Y3UIPGRAOU

not attested not anchored not stored refs pending

Malnormality and join-free subgroups in right-angled Coxeter groups

Hung Cong Tran

arxiv:1703.09032 v2 · 2017-03-27 · 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{XAZCEF6RN3VEQFG4Y3UIPGRAOU}

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	2026-05-18T00:03:00.399400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8322217d16eea4814dcc6e8879a20753e754bd0e35cd5a422cf521bdddd1be6

Aliases

arxiv: 1703.09032 · arxiv_version: 1703.09032v2 · doi: 10.48550/arxiv.1703.09032 · pith_short_12: XAZCEF6RN3VE · pith_short_16: XAZCEF6RN3VEQFG4 · pith_short_8: XAZCEF6R

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/XAZCEF6RN3VEQFG4Y3UIPGRAOU \
  | 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: b8322217d16eea4814dcc6e8879a20753e754bd0e35cd5a422cf521bdddd1be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9da0f8c8fe2b81c6c1fc1ec759f5595d65a59d4c5c41b0696f4189626c85a088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-27T12:34:56Z",
    "title_canon_sha256": "28284ad370a23425d390166443c559fd422c9642c5942c70dbe0f75e4b4f879d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09032",
    "kind": "arxiv",
    "version": 2
  }
}