Pith Number

pith:5O4BMWY4

pith:2026:5O4BMWY477GMX4HTWWPATIHLG4

not attested not anchored not stored refs pending

Coarse median property of virtually nilpotent groups

Hyeonggeun Kim

arxiv:2606.02284 v1 · 2026-06-01 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5O4BMWY477GMX4HTWWPATIHLG4}

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	2026-06-02T03:04:55.063624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb8165b1cffcccbf0f3b59e09a0eb373de48b86b8804362d292f2ac5b5bb63b

Aliases

arxiv: 2606.02284 · arxiv_version: 2606.02284v1 · doi: 10.48550/arxiv.2606.02284 · pith_short_12: 5O4BMWY477GM · pith_short_16: 5O4BMWY477GMX4HT · pith_short_8: 5O4BMWY4

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/5O4BMWY477GMX4HTWWPATIHLG4 \
  | 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: ebb8165b1cffcccbf0f3b59e09a0eb373de48b86b8804362d292f2ac5b5bb63b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3efda688e729ce7dd08abad06d0a7aeedd75917edd7782a7f727ce600b388d58",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-01T14:06:56Z",
    "title_canon_sha256": "2e4ea4b293c2ec29c632b0329b0704257cda83647b9f7719da60eda98ada36fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02284",
    "kind": "arxiv",
    "version": 1
  }
}