Pith Number

pith:UKFGCNU6

pith:2019:UKFGCNU6ZVDGBUCA2CI4UZXJ35

not attested not anchored not stored refs pending

Tits alternative for Artin groups of type FC

Alexandre Martin, Piotr Przytycki

arxiv:1906.07393 v1 · 2019-06-18 · 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{UKFGCNU6ZVDGBUCA2CI4UZXJ35}

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	2026-05-17T23:43:08.005893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a28a61369ecd4660d040d091ca66e9df6a594e3e08d2a761e1b2b8eae96494ca

Aliases

arxiv: 1906.07393 · arxiv_version: 1906.07393v1 · doi: 10.48550/arxiv.1906.07393 · pith_short_12: UKFGCNU6ZVDG · pith_short_16: UKFGCNU6ZVDGBUCA · pith_short_8: UKFGCNU6

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/UKFGCNU6ZVDGBUCA2CI4UZXJ35 \
  | 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: a28a61369ecd4660d040d091ca66e9df6a594e3e08d2a761e1b2b8eae96494ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "190da56400a5fca88f2fe208babc29f858ac36003da4328babc1bb17b0737512",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-06-18T06:06:52Z",
    "title_canon_sha256": "eb7f1437fdc492a90eb088d802bbae8a028aa45528aaf74952513e4cf78ac193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07393",
    "kind": "arxiv",
    "version": 1
  }
}