Pith Number

pith:4XLGCETT

pith:2008:4XLGCETTLGMQYNWUOT3FLTQ37O

not attested not anchored not stored refs pending

Notes on periodic elements of Garside groups

Eon-Kyung Lee, Sang-Jin Lee

arxiv:0808.0308 v3 · 2008-08-03 · math.GT · 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{4XLGCETTLGMQYNWUOT3FLTQ37O}

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	2026-05-18T04:30:59.965066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d661127359990c36d474f655ce1bfbab180845a1c036b96cc450183cc1b144

Aliases

arxiv: 0808.0308 · arxiv_version: 0808.0308v3 · doi: 10.48550/arxiv.0808.0308 · pith_short_12: 4XLGCETTLGMQ · pith_short_16: 4XLGCETTLGMQYNWU · pith_short_8: 4XLGCETT

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/4XLGCETTLGMQYNWUOT3FLTQ37O \
  | 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: e5d661127359990c36d474f655ce1bfbab180845a1c036b96cc450183cc1b144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d19059785ae8a17c46c6a650c487d9261977816e909f0a77ba5ea8f6f28800a0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-08-03T10:25:18Z",
    "title_canon_sha256": "fb53da8eb7c73523bd8b2defada444404311ece6fe69e64ed1b248ea5b5edcd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0308",
    "kind": "arxiv",
    "version": 3
  }
}