Pith Number

pith:MARLL6X2

pith:2014:MARLL6X24BO7ULQ2IFFLPQ5K5U

not attested not anchored not stored refs pending

Splitting in orbit equivalence, treeable groups, and the Haagerup property

Yoshikata Kida

arxiv:1403.0688 v2 · 2014-03-04 · math.GR · math.DS · 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{MARLL6X24BO7ULQ2IFFLPQ5K5U}

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	2026-05-18T02:28:23.117671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6022b5fafae05dfa2e1a414ab7c3aaed3d306ee7fd7b06bee622539fa01c8967

Aliases

arxiv: 1403.0688 · arxiv_version: 1403.0688v2 · doi: 10.48550/arxiv.1403.0688 · pith_short_12: MARLL6X24BO7 · pith_short_16: MARLL6X24BO7ULQ2 · pith_short_8: MARLL6X2

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/MARLL6X24BO7ULQ2IFFLPQ5K5U \
  | 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: 6022b5fafae05dfa2e1a414ab7c3aaed3d306ee7fd7b06bee622539fa01c8967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f933d943a24bcd2ac4b6a98adb89e39bdc31271618a1ef63d606181a6da245c",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-04T05:21:54Z",
    "title_canon_sha256": "5cde5bea33c8090b5b677b8fb7e14e7293985d7914ce44e3e3892487340de8a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0688",
    "kind": "arxiv",
    "version": 2
  }
}