Pith Number

pith:FBLV5FV3

pith:2007:FBLV5FV3ANYTAMUDRDURXAM43T

not attested not anchored not stored refs pending

Random subgroups of Thompson's group $F$

Andrew Rechnitzer, Jennifer Taback, Murray Elder, Sean Cleary

arxiv:0711.1343 v2 · 2007-11-08 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBLV5FV3ANYTAMUDRDURXAM43T}

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	2026-05-18T00:20:54.333433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28575e96bb037130328388e91b819cdcc7585a4f8071e27224431cc27592ef9d

Aliases

arxiv: 0711.1343 · arxiv_version: 0711.1343v2 · doi: 10.48550/arxiv.0711.1343 · pith_short_12: FBLV5FV3ANYT · pith_short_16: FBLV5FV3ANYTAMUD · pith_short_8: FBLV5FV3

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/FBLV5FV3ANYTAMUDRDURXAM43T \
  | 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: 28575e96bb037130328388e91b819cdcc7585a4f8071e27224431cc27592ef9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c8f373b0f0f76d75c68370c8811bc5169d0b0b5aa62eb4ab40b96d174307aa",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2007-11-08T19:59:08Z",
    "title_canon_sha256": "5d02c16f59fc7608035ad43964c8e1bf19f43cbeacf339d82e55290bee786124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1343",
    "kind": "arxiv",
    "version": 2
  }
}