Pith Number

pith:3YIZ2UZL

pith:2018:3YIZ2UZLC5IAVLQ63HXVXFKWJ6

not attested not anchored not stored refs pending

Gr\"obner-Shirshov bases for non-crystallographic Coxeter groups

Dong-il Lee, Jeong-Yup Lee

arxiv:1809.08419 v1 · 2018-09-22 · 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{3YIZ2UZLC5IAVLQ63HXVXFKWJ6}

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	2026-05-18T00:05:08.560463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de119d532b17500aae1ed9ef5b95564fa846b562fadf408a7a3865c5bbd05a24

Aliases

arxiv: 1809.08419 · arxiv_version: 1809.08419v1 · doi: 10.48550/arxiv.1809.08419 · pith_short_12: 3YIZ2UZLC5IA · pith_short_16: 3YIZ2UZLC5IAVLQ6 · pith_short_8: 3YIZ2UZL

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/3YIZ2UZLC5IAVLQ63HXVXFKWJ6 \
  | 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: de119d532b17500aae1ed9ef5b95564fa846b562fadf408a7a3865c5bbd05a24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f857eac13078d9c146066624531e33a5767279341231cd9c393a4168ef15bb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-09-22T09:49:02Z",
    "title_canon_sha256": "5ac08ca213b0318bae85dadde4a382448610d7c6f51b7f9842fa8afceb62d423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08419",
    "kind": "arxiv",
    "version": 1
  }
}