Pith Number

pith:M66AXGY3

pith:2017:M66AXGY3UTEZX3LO3KWB7WPELG

not attested not anchored not stored refs pending

On parabolic subgroups of Artin-Tits groups of spherical type

Bert Wiest, Juan Gonz\'alez-Meneses, Mar\'ia Cumplido, Volker Gebhardt

arxiv:1712.06727 v3 · 2017-12-19 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M66AXGY3UTEZX3LO3KWB7WPELG}

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	2026-05-17T23:42:59.069341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67bc0b9b1ba4c99bed6edaac1fd9e45981bb74b6ecacff64de166cfc6d34c4be

Aliases

arxiv: 1712.06727 · arxiv_version: 1712.06727v3 · doi: 10.48550/arxiv.1712.06727 · pith_short_12: M66AXGY3UTEZ · pith_short_16: M66AXGY3UTEZX3LO · pith_short_8: M66AXGY3

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/M66AXGY3UTEZX3LO3KWB7WPELG \
  | 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: 67bc0b9b1ba4c99bed6edaac1fd9e45981bb74b6ecacff64de166cfc6d34c4be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c53f10ac8cddd0be778d9ff1bb44cb072284088efc0f937014e87fd8bf8e2456",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-12-19T00:38:18Z",
    "title_canon_sha256": "780efe5e70c5e4446a5f3281401ff80ef0a903bdf11fb03ff8a28bcfe4718fcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06727",
    "kind": "arxiv",
    "version": 3
  }
}