Pith Number

pith:QRH4UK4D

pith:2009:QRH4UK4DKRB25VJ3X5M6RX2IRT

not attested not anchored not stored refs pending

About amenability of subgroups of the group of diffeomorphisms of the interval

E.T.Shavgulidze

arxiv:0906.0107 v1 · 2009-05-30 · math.GR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRH4UK4DKRB25VJ3X5M6RX2IRT}

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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

Superharmonic functions on the Lamplighter graph of Thompson's group F

Receipt and verification

First computed	2026-05-18T02:13:30.380916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

844fca2b835443aed53bbf59e8df488ce00f0e0e11d7dae3a5a286f8aab5ddb4

Aliases

arxiv: 0906.0107 · arxiv_version: 0906.0107v1 · doi: 10.48550/arxiv.0906.0107 · pith_short_12: QRH4UK4DKRB2 · pith_short_16: QRH4UK4DKRB25VJ3 · pith_short_8: QRH4UK4D

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/QRH4UK4DKRB25VJ3X5M6RX2IRT \
  | 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: 844fca2b835443aed53bbf59e8df488ce00f0e0e11d7dae3a5a286f8aab5ddb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71e13529865b6cb5cf8d7ab2ee3aad5f6cdd63086cbb29fb990794c52834cfc7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-05-30T19:40:04Z",
    "title_canon_sha256": "ed28765fad4b0ba67da0d9272933965a9bee2550c5d35d7ac1ac53b2f38c269e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0107",
    "kind": "arxiv",
    "version": 1
  }
}