Pith Number

pith:L2H63PTP

pith:2012:L2H63PTPKPSDNKD22CPAMBLIU2

not attested not anchored not stored refs pending

Ergodic theorems for affine actions of amenable groups on Hilbert space

Ionut Chifan, Thomas Sinclair

arxiv:1207.5888 v2 · 2012-07-25 · 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{L2H63PTPKPSDNKD22CPAMBLIU2}

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	2026-05-18T03:49:32.314383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e8fedbe6f53e436a87ad09e060568a69b8816f900d1fac0c5172b5c69a0bb24

Aliases

arxiv: 1207.5888 · arxiv_version: 1207.5888v2 · doi: 10.48550/arxiv.1207.5888 · pith_short_12: L2H63PTPKPSD · pith_short_16: L2H63PTPKPSDNKD2 · pith_short_8: L2H63PTP

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/L2H63PTPKPSDNKD22CPAMBLIU2 \
  | 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: 5e8fedbe6f53e436a87ad09e060568a69b8816f900d1fac0c5172b5c69a0bb24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c9bc6da3dbb7bda5c0119b5829d5089cb7873dd1036007ab57dbac59f5705a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-07-25T05:14:15Z",
    "title_canon_sha256": "c908db12ef15048777d98481e28829a88fd6f80b35269e8fb357160454f38227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5888",
    "kind": "arxiv",
    "version": 2
  }
}