Pith Number

pith:YN3JJ23D

pith:2025:YN3JJ23D4N2KGSHFR54YMX5XTA

not attested not anchored not stored refs pending

Markov processes associated to fractal branch groups

Jorge Fari\~na-Asategui

arxiv:2505.21134 v1 · 2025-05-27 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YN3JJ23D4N2KGSHFR54YMX5XTA}

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.

Cited by

1 paper in Pith

Random subgroups of branch groups

Receipt and verification

First computed	2026-07-05T11:10:24.187665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c37694eb63e374a348e58f79865fb7982c8542ce82d42f532db2636bbd58b0c9

Aliases

arxiv: 2505.21134 · arxiv_version: 2505.21134v1 · doi: 10.48550/arxiv.2505.21134 · pith_short_12: YN3JJ23D4N2K · pith_short_16: YN3JJ23D4N2KGSHF · pith_short_8: YN3JJ23D

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/YN3JJ23D4N2KGSHFR54YMX5XTA \
  | 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: c37694eb63e374a348e58f79865fb7982c8542ce82d42f532db2636bbd58b0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b5f0cf3bca2d996fec3b1789872012f2c1b9b9115730acddf43ffebc25fd02a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-05-27T12:49:37Z",
    "title_canon_sha256": "66b473a5f828d633ea19a4fc6c37bcc1250cebd365bd9d4c4d29ee055c51ba21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21134",
    "kind": "arxiv",
    "version": 1
  }
}