Pith Number

pith:Q5T4KD3I

pith:2005:Q5T4KD3IOZRRKIEJ2U7WH7HUAK

not attested not anchored not stored refs pending

Elementary amenable subgroups of R. Thompson's group F

Matthew G. Brin

arxiv:math/0501085 v1 · 2005-01-06 · 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{Q5T4KD3IOZRRKIEJ2U7WH7HUAK}

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	2026-05-18T03:16:30.502911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8767c50f687663152089d53f63fcf4029a847de172a060fb4eca65e5fbf69929

Aliases

arxiv: math/0501085 · arxiv_version: math/0501085v1 · doi: 10.48550/arxiv.math/0501085 · pith_short_12: Q5T4KD3IOZRR · pith_short_16: Q5T4KD3IOZRRKIEJ · pith_short_8: Q5T4KD3I

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/Q5T4KD3IOZRRKIEJ2U7WH7HUAK \
  | 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: 8767c50f687663152089d53f63fcf4029a847de172a060fb4eca65e5fbf69929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d6e6c1b5dbc11ff7dc52178869fde25c2d55967bcdc0e6ddad456e49d9bcfd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-01-06T15:27:06Z",
    "title_canon_sha256": "4c3647706684834f1cc22ca194d8697b7f7c3440dfd3f3c4df31a1e92614b960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501085",
    "kind": "arxiv",
    "version": 1
  }
}