Pith Number

pith:TCJ2XAV2

pith:2025:TCJ2XAV2IZQOY5EYWAKUHD2SLA

not attested not anchored not stored refs pending

Hyperfiniteness of the boundary action of virtually special groups

Koichi Oyakawa

arxiv:2509.04613 v2 · 2025-09-04 · math.GR · math.GT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCJ2XAV2IZQOY5EYWAKUHD2SLA}

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	2026-06-03T01:05:44.815979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9893ab82ba4660ec7498b015438f5258254ee0d5d3752caad67e32bdf0c8ee0f

Aliases

arxiv: 2509.04613 · arxiv_version: 2509.04613v2 · doi: 10.48550/arxiv.2509.04613 · pith_short_12: TCJ2XAV2IZQO · pith_short_16: TCJ2XAV2IZQOY5EY · pith_short_8: TCJ2XAV2

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/TCJ2XAV2IZQOY5EYWAKUHD2SLA \
  | 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: 9893ab82ba4660ec7498b015438f5258254ee0d5d3752caad67e32bdf0c8ee0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af4a84f6fdf5dac45bdfe4140d11ba98c89a996b5a9331d0ec021bb87b01d6a7",
    "cross_cats_sorted": [
      "math.GT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-09-04T18:54:44Z",
    "title_canon_sha256": "138f58611ad99c9e95ea663ac15c4fa86d646ba3c4e0fa99114e9cb252207b56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04613",
    "kind": "arxiv",
    "version": 2
  }
}