Pith Number

pith:RRFJK76D

pith:2025:RRFJK76DTDZO4B5JM5MZUT43PU

not attested not anchored not stored refs pending

Residually finite amenable groups that are not Hilbert-Schmidt stable

Caleb Eckhardt

arxiv:2501.07791 v2 · 2025-01-14 · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRFJK76DTDZO4B5JM5MZUT43PU}

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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.

Cited by

1 paper in Pith

On $L^1$-approximation of groups

Receipt and verification

First computed	2026-07-05T10:17:52.965683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c4a957fc398f2ee07a967599a4f9b7d08cf7930ab11e38e93b0041e30558d61

Aliases

arxiv: 2501.07791 · arxiv_version: 2501.07791v2 · doi: 10.48550/arxiv.2501.07791 · pith_short_12: RRFJK76DTDZO · pith_short_16: RRFJK76DTDZO4B5J · pith_short_8: RRFJK76D

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/RRFJK76DTDZO4B5JM5MZUT43PU \
  | 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: 8c4a957fc398f2ee07a967599a4f9b7d08cf7930ab11e38e93b0041e30558d61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b61bba343ba8b6a0c5b97db2aedff880176792eb4da35fa44295555d4cd5e683",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-01-14T02:19:21Z",
    "title_canon_sha256": "e496b373408070c796c2b70708bee37ec3b82ee2288f46b6b14e5d968badd58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07791",
    "kind": "arxiv",
    "version": 2
  }
}