Pith Number

pith:VRREZI7F

pith:2017:VRREZI7FCMF54V4DEW6TJMPGFY

not attested not anchored not stored refs pending

Uniquely labelled geodesics of Coxeter groups

Elisabeth Fink, Kirill Zainoulline

arxiv:1709.07021 v1 · 2017-09-20 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRREZI7FCMF54V4DEW6TJMPGFY}

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	2026-05-18T00:34:36.817158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac624ca3e5130bde578325bd34b1e62e3600a0f5c9ce3f70ffcd7234a479dc62

Aliases

arxiv: 1709.07021 · arxiv_version: 1709.07021v1 · doi: 10.48550/arxiv.1709.07021 · pith_short_12: VRREZI7FCMF5 · pith_short_16: VRREZI7FCMF54V4D · pith_short_8: VRREZI7F

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/VRREZI7FCMF54V4DEW6TJMPGFY \
  | 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: ac624ca3e5130bde578325bd34b1e62e3600a0f5c9ce3f70ffcd7234a479dc62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5980c79231fdbf2f5d9bdacca500afa047a65bf9c3152efd7fa26a6aa3705aa7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-20T18:16:48Z",
    "title_canon_sha256": "2f51487ff2f741e875faebdc42616622722f80a893913172614a9fb3f55420b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07021",
    "kind": "arxiv",
    "version": 1
  }
}