Pith Number

pith:HT4PBGTV

pith:2017:HT4PBGTVOB3VRPZR2ZMGAJR4PP

not attested not anchored not stored refs pending

The (2,4,5) triangle Coxeter group is not systolic

Adam Wilks

arxiv:1706.08019 v2 · 2017-06-25 · 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{HT4PBGTVOB3VRPZR2ZMGAJR4PP}

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.

Cited by

1 paper in Pith

Weak Modularity and $\widetilde{A}_n$ Buildings

Receipt and verification

First computed	2026-05-18T00:41:17.451638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf8f09a75707758bf31d65860263c7bc7914c9d5e67edc56618caf176e8ba5c

Aliases

arxiv: 1706.08019 · arxiv_version: 1706.08019v2 · doi: 10.48550/arxiv.1706.08019 · pith_short_12: HT4PBGTVOB3V · pith_short_16: HT4PBGTVOB3VRPZR · pith_short_8: HT4PBGTV

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/HT4PBGTVOB3VRPZR2ZMGAJR4PP \
  | 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: 3cf8f09a75707758bf31d65860263c7bc7914c9d5e67edc56618caf176e8ba5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc078e9b52c27fda217e0d252e01efeff6ae7fc042d5300241cf516c90cc0e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-25T01:35:13Z",
    "title_canon_sha256": "46f306d0ea1012bcc0cfddfa2fc32046a045478e1409065418a9584f746c0099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08019",
    "kind": "arxiv",
    "version": 2
  }
}