Pith Number

pith:3O6BYJXI

pith:2016:3O6BYJXIGFTZXJKJW5JCZV23NI

not attested not anchored not stored refs pending

Thompson's group F is not strongly amenable

Kate Juschenko, Omer Tamuz, Pooya Vahidi Ferdowsi, Yair Hartman

arxiv:1607.04915 v2 · 2016-07-17 · 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{3O6BYJXIGFTZXJKJW5JCZV23NI}

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

Superharmonic functions on the Lamplighter graph of Thompson's group F

Receipt and verification

First computed	2026-07-05T01:02:25.482951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbbc1c26e831679ba549b7522cd75b6a258cebb0480b0a83a7d9dad0c1adf55d

Aliases

arxiv: 1607.04915 · arxiv_version: 1607.04915v2 · doi: 10.48550/arxiv.1607.04915 · pith_short_12: 3O6BYJXIGFTZ · pith_short_16: 3O6BYJXIGFTZXJKJ · pith_short_8: 3O6BYJXI

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/3O6BYJXIGFTZXJKJW5JCZV23NI \
  | 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: dbbc1c26e831679ba549b7522cd75b6a258cebb0480b0a83a7d9dad0c1adf55d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c061361d5b8cd62249cc43fabdab902d8dd296d35b760255d1e711131b4f1387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-07-17T20:50:25Z",
    "title_canon_sha256": "065a5382c0323ec091e4bf7cf6fd0d1185e5d723556ad164536f31335da9cbac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04915",
    "kind": "arxiv",
    "version": 2
  }
}