Pith Number

pith:VHTXKSZQ

pith:2025:VHTXKSZQ5B5BQC7YFCFTCPE5U5

not attested not anchored not stored refs pending

Non-strong ergodicity of canonical actions of the Thompson groups

Ryoya Arimoto

arxiv:2510.13309 v2 · 2025-10-15 · math.DS · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHTXKSZQ5B5BQC7YFCFTCPE5U5}

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	2026-06-19T16:12:15.706779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e7754b30e87a180bf8288b313c9da77af0b2fb5eca800b34fa61425bcf2c3e

Aliases

arxiv: 2510.13309 · arxiv_version: 2510.13309v2 · doi: 10.48550/arxiv.2510.13309 · pith_short_12: VHTXKSZQ5B5B · pith_short_16: VHTXKSZQ5B5BQC7Y · pith_short_8: VHTXKSZQ

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/VHTXKSZQ5B5BQC7YFCFTCPE5U5 \
  | 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: a9e7754b30e87a180bf8288b313c9da77af0b2fb5eca800b34fa61425bcf2c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dbaeebed86cf0f0399f6f162e1c239585647171cf60a7eb1c5785c15ff959ff",
    "cross_cats_sorted": [
      "math.GR",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-10-15T08:56:42Z",
    "title_canon_sha256": "c10750d73ffbf2d35d36e9c707c01ab5cf68c7edeb9bfa9c935b22899fc090d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.13309",
    "kind": "arxiv",
    "version": 2
  }
}