Pith Number

pith:XDMGEEGL

pith:2022:XDMGEEGLRMLKP3XPABQGJKTO75

not attested not anchored not stored refs pending

Lee metrics on groups

Maximiliano G. Vides, Ricardo A. Podest\'a

arxiv:2206.04555 v2 · 2022-06-09 · math.GR · math.CO · 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{XDMGEEGLRMLKP3XPABQGJKTO75}

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	2026-07-05T05:45:29.549033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d86210cb8b16a7eeef006064aa6eff4b35d15e5c4258d84c6d2cc603c77727

Aliases

arxiv: 2206.04555 · arxiv_version: 2206.04555v2 · doi: 10.48550/arxiv.2206.04555 · pith_short_12: XDMGEEGLRMLK · pith_short_16: XDMGEEGLRMLKP3XP · pith_short_8: XDMGEEGL

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/XDMGEEGLRMLKP3XPABQGJKTO75 \
  | 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: b8d86210cb8b16a7eeef006064aa6eff4b35d15e5c4258d84c6d2cc603c77727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7878fd9fddc9626e8857af2d7fa06c6c96f0fdcef02425c529ad31de8c4e2805",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-06-09T15:07:12Z",
    "title_canon_sha256": "ba87aaa8450962d95d1ee333f6ac67523ed0081d3e3d42e6f570a2c6a05cd153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.04555",
    "kind": "arxiv",
    "version": 2
  }
}