Pith Number

pith:QJXKXVUT

pith:2009:QJXKXVUT7BLXIK52ARF4XT2KLM

not attested not anchored not stored refs pending

Free limits of Thompson's group $F$

Azer Akhmedov, Jennifer Taback, Melanie Stein

arxiv:0908.1268 v2 · 2009-08-10 · 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{QJXKXVUT7BLXIK52ARF4XT2KLM}

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	2026-05-18T04:40:46.467609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

826eabd693f857742bba044bcbcf4a5b3b3aed5d7e0a0bd25580a44c3e3ebcf1

Aliases

arxiv: 0908.1268 · arxiv_version: 0908.1268v2 · doi: 10.48550/arxiv.0908.1268 · pith_short_12: QJXKXVUT7BLX · pith_short_16: QJXKXVUT7BLXIK52 · pith_short_8: QJXKXVUT

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/QJXKXVUT7BLXIK52ARF4XT2KLM \
  | 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: 826eabd693f857742bba044bcbcf4a5b3b3aed5d7e0a0bd25580a44c3e3ebcf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a84433375caa212d54b2b63bd5547c91d82d2dcb17c8659277302be9dbf3b08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-08-10T04:14:54Z",
    "title_canon_sha256": "020949dc3043dd2d33628873c1b65322484760d4ca71a9e231f7dff9ee774104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1268",
    "kind": "arxiv",
    "version": 2
  }
}