Pith Number

pith:LX2WXH2T

pith:2016:LX2WXH2TYHGSRSSZXZMHR4LEO3

not attested not anchored not stored refs pending

Acylindrical hyperbolicity and Artin-Tits groups of spherical type

Bert Wiest, Matthieu Calvez

arxiv:1606.07778 v2 · 2016-06-24 · 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{LX2WXH2TYHGSRSSZXZMHR4LEO3}

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	2026-05-18T00:37:48.441273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df56b9f53c1cd28ca59be5878f16476d818dcdd466699e1e447403fb4c62e00

Aliases

arxiv: 1606.07778 · arxiv_version: 1606.07778v2 · doi: 10.48550/arxiv.1606.07778 · pith_short_12: LX2WXH2TYHGS · pith_short_16: LX2WXH2TYHGSRSSZ · pith_short_8: LX2WXH2T

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/LX2WXH2TYHGSRSSZXZMHR4LEO3 \
  | 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: 5df56b9f53c1cd28ca59be5878f16476d818dcdd466699e1e447403fb4c62e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d582f64e56f42cf0acdeedd038fa6c25038dd695ad2603a554f0525b7b7d023c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-24T18:11:24Z",
    "title_canon_sha256": "98b52f13ae54b5aeff575d51de26eae9974742859ee0e79b09ad850b10f97aba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07778",
    "kind": "arxiv",
    "version": 2
  }
}