Pith Number

pith:UXW3BC3P

pith:2015:UXW3BC3P3BMRO454W7LVCQPACC

not attested not anchored not stored refs pending

A new proof of extreme amenability of the unitary group of the hyperfinite II$_1$-factor

Andreas Thom, Philip A. Dowerk

arxiv:1507.00243 v1 · 2015-07-01 · math.OA · math.FA · 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{UXW3BC3P3BMRO454W7LVCQPACC}

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	2026-05-18T01:37:29.418589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5edb08b6fd8591773bcb7d75141e010b6646125e1d92fc8994b0e4c5a09482a

Aliases

arxiv: 1507.00243 · arxiv_version: 1507.00243v1 · doi: 10.48550/arxiv.1507.00243 · pith_short_12: UXW3BC3P3BMR · pith_short_16: UXW3BC3P3BMRO454 · pith_short_8: UXW3BC3P

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/UXW3BC3P3BMRO454W7LVCQPACC \
  | 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: a5edb08b6fd8591773bcb7d75141e010b6646125e1d92fc8994b0e4c5a09482a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8577aa1ee9c054b31bce5898f8ab226fc1bfe3cccd82cf5ce14a529dd24bab05",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-07-01T14:05:14Z",
    "title_canon_sha256": "69635731a5fcf21249054765c1129339db1aa3d1dfbb3113eadf47e2a4a6d896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00243",
    "kind": "arxiv",
    "version": 1
  }
}