Pith Number

pith:IT6ALNQ6

pith:2009:IT6ALNQ6CLGNY4LA6OBC4C4KJA

not attested not anchored not stored refs pending

Fast growth in Folner sets for Thompson's group F

Justin Tatch Moore

arxiv:0905.1118 v7 · 2009-05-08 · 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{IT6ALNQ6CLGNY4LA6OBC4C4KJA}

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	2026-05-18T03:49:12.284449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44fc05b61e12ccdc7160f3822e0b8a4836257a2306270659196ed194ce604071

Aliases

arxiv: 0905.1118 · arxiv_version: 0905.1118v7 · doi: 10.48550/arxiv.0905.1118 · pith_short_12: IT6ALNQ6CLGN · pith_short_16: IT6ALNQ6CLGNY4LA · pith_short_8: IT6ALNQ6

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/IT6ALNQ6CLGNY4LA6OBC4C4KJA \
  | 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: 44fc05b61e12ccdc7160f3822e0b8a4836257a2306270659196ed194ce604071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f916bd91dcc23136b4718bd97e703a3ef497e09f9d4095adcd941b4931a8457",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-05-08T19:56:39Z",
    "title_canon_sha256": "a0d2a2e485e44cbed9efdb46a6f549f88b26424043c6b4e3bde9ce45658dd4ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1118",
    "kind": "arxiv",
    "version": 7
  }
}