Pith Number

pith:3CVZI2IQ

pith:2012:3CVZI2IQSYKCAVKJ3RD5WVQ7EN

not attested not anchored not stored refs pending

Nonassociative Ramsey Theory and the amenability of Thompson's group

Justin Tatch Moore

arxiv:1209.2063 v4 · 2012-09-10 · math.GR · math.CO · math.FA · math.LO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CVZI2IQSYKCAVKJ3RD5WVQ7EN}

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	2026-05-18T03:44:23.648801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ab9469109614205549dc47db561f2360d76180e55757a716eeac0af289ee61

Aliases

arxiv: 1209.2063 · arxiv_version: 1209.2063v4 · doi: 10.48550/arxiv.1209.2063 · pith_short_12: 3CVZI2IQSYKC · pith_short_16: 3CVZI2IQSYKCAVKJ · pith_short_8: 3CVZI2IQ

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/3CVZI2IQSYKCAVKJ3RD5WVQ7EN \
  | 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: d8ab9469109614205549dc47db561f2360d76180e55757a716eeac0af289ee61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f2f7c83c282ad0efcab337e448c532c44e5034bec1f346a465c9e8efbaf1eec",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA",
      "math.LO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-09-10T17:06:32Z",
    "title_canon_sha256": "a519f6e24fd80748b9161a2ff4f8af57b63646ea944836e2852b1ca933d390cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2063",
    "kind": "arxiv",
    "version": 4
  }
}