Pith Number

pith:6UAVDRG6

pith:2008:6UAVDRG6PSIUG3MS27MQOARWLL

not attested not anchored not stored refs pending

The action of a nilpotent group on its horofunction boundary has finite orbits

Cormac Walsh

arxiv:0806.0966 v2 · 2008-06-05 · 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{6UAVDRG6PSIUG3MS27MQOARWLL}

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	2026-05-18T04:24:44.128630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f50151c4de7c91436d92d7d90702365aea828271c8877f953f9dd10be70d1bea

Aliases

arxiv: 0806.0966 · arxiv_version: 0806.0966v2 · doi: 10.48550/arxiv.0806.0966 · pith_short_12: 6UAVDRG6PSIU · pith_short_16: 6UAVDRG6PSIUG3MS · pith_short_8: 6UAVDRG6

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/6UAVDRG6PSIUG3MS27MQOARWLL \
  | 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: f50151c4de7c91436d92d7d90702365aea828271c8877f953f9dd10be70d1bea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84791b9fdb25122757a5741c90d56fac61d9f7c52f4259e0312a4644eabaab24",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-06-05T13:34:24Z",
    "title_canon_sha256": "e7eedd934dcef68bf4fb1b3f5d60375d8fc201fce982486c36f000ac21409d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.0966",
    "kind": "arxiv",
    "version": 2
  }
}