Pith Number

pith:G3XL6KLY

pith:2012:G3XL6KLY6GFOY5KFS242OJLQIT

not attested not anchored not stored refs pending

Universal flows of closed subgroups of $S_{\infty}$ and relative extreme amenability

Lionel Nguyen Van Th\'e

arxiv:1201.1472 v3 · 2012-01-06 · math.LO · math.CO · math.DS · 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{G3XL6KLY6GFOY5KFS242OJLQIT}

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	2026-05-18T03:33:26.376247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36eebf2978f18aec754596b9a7257044fd3b51a1e51eda930c8e201654bb1a6a

Aliases

arxiv: 1201.1472 · arxiv_version: 1201.1472v3 · doi: 10.48550/arxiv.1201.1472 · pith_short_12: G3XL6KLY6GFO · pith_short_16: G3XL6KLY6GFOY5KF · pith_short_8: G3XL6KLY

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/G3XL6KLY6GFOY5KFS242OJLQIT \
  | 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: 36eebf2978f18aec754596b9a7257044fd3b51a1e51eda930c8e201654bb1a6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4549013b615a3f928b7f74f9ac9479cc0580819e8140ac1886e3ee4a560e6ff",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-01-06T18:44:25Z",
    "title_canon_sha256": "7db7aeda61597be517ce75684a3fd2ad46d2a2ad823806bebeb62a39eb833056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1472",
    "kind": "arxiv",
    "version": 3
  }
}