Pith Number

pith:E7TWE4H5

pith:2026:E7TWE4H5FJQUNZP4EJYIP2LXHP

not attested not anchored not stored refs pending

Commensurating actions and self-similar groups

Nicol\'as Matte Bon, Tianyi Zheng, Volodymyr Nekrashevych

arxiv:2607.13776 v1 · 2026-07-15 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7TWE4H5FJQUNZP4EJYIP2LXHP}

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

A graph-theoretical characterisation of subgroups of Thompson's group $V$

Receipt and verification

First computed	2026-07-16T01:23:05.965896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e76270fd2a6146e5fc227087e9773bc88803188ec306d154ace64285a3ad29

Aliases

arxiv: 2607.13776 · arxiv_version: 2607.13776v1 · doi: 10.48550/arxiv.2607.13776 · pith_short_12: E7TWE4H5FJQU · pith_short_16: E7TWE4H5FJQUNZP4 · pith_short_8: E7TWE4H5

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/E7TWE4H5FJQUNZP4EJYIP2LXHP \
  | 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: 27e76270fd2a6146e5fc227087e9773bc88803188ec306d154ace64285a3ad29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3943a2daf9bec3ca7e0b89bdf33e478b09dc9362c10347040c1f61ffb5560564",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-15T12:36:40Z",
    "title_canon_sha256": "a83ecc0a35fcbeed2b02355d9984e6dc292103e87c4250cafcc6116eccd30976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13776",
    "kind": "arxiv",
    "version": 1
  }
}