pith. sign in
Pith Number

pith:VRJE6AO4

pith:2018:VRJE6AO4YJOFDAO7EM3JCXH3NZ
not attested not anchored not stored refs pending

On the Tits cone of a Weyl groupoid

Bernhard M\"uhlherr, Christian J. Weigel, Michael Cuntz

arxiv:1803.09521 v1 · 2018-03-26 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VRJE6AO4YJOFDAO7EM3JCXH3NZ}

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 2026-05-18T00:20:11.274835Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ac524f01dcc25c5181df2336915cfb6e751e2cfa059b771c89c92b12d5bbf32a

Aliases

arxiv: 1803.09521 · arxiv_version: 1803.09521v1 · doi: 10.48550/arxiv.1803.09521 · pith_short_12: VRJE6AO4YJOF · pith_short_16: VRJE6AO4YJOFDAO7 · pith_short_8: VRJE6AO4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VRJE6AO4YJOFDAO7EM3JCXH3NZ \
  | 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: ac524f01dcc25c5181df2336915cfb6e751e2cfa059b771c89c92b12d5bbf32a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "055570919e0e6ae901526cd86f52b495b03222b6689d29a7969a073019405d2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-26T11:45:38Z",
    "title_canon_sha256": "16c9b60a57f8910ba4fd1ef62bdfb53b274c1912c659aaa4b99c77ea54c3f7c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09521",
    "kind": "arxiv",
    "version": 1
  }
}